Greater Than Sign (>) Calculator with Steps | StatsUnlock

The greater than sign is >. It means the number on its left is bigger than the number on its right, so 3/4 > 0.7 reads "three quarters is greater than 0.7".

Worked example: 3/4 = 0.75 and 0.7 = 0.70. Since 75 hundredths is more than 70 hundredths, the correct sign is >. The exact difference is 3/4 − 0.7 = 1/20, which is positive.

Rule of thumb: the open side faces the bigger number and the point faces the smaller one. Turn it round and you have the less than sign (<). Add a line under either one for "or equal to": ≥ and ≤. Use = when the two values match and ≠ when they do not. A stroke through a sign means "not" (≯, ≮), a doubled sign means "much" (≫, ≪), and ≈ means "about equal". The operation signs sit beside them: + adds, − subtracts, × multiplies (typed as * in spreadsheets and code), and ÷ divides (typed as /).

Greater than or equal to sign copy and paste: press Copy under ≥, then paste it into Word, Google Docs, an email or a chat. All 23 signs copy the same way. Type >, < or = straight from the keyboard.

The greater than sign (>) is the math sign for greater than. It is written between two values to say that the first one is larger than the second. 8 > 3 is read "eight is greater than three". The sign looks like an arrowhead pointing to the right: two short lines that meet at a point on the right and open wide on the left.

What does the greater than sign look like next to its partner? The less than sign (<) is the same shape turned round. It points to the left and opens to the right, so 3 < 8 reads "three is less than eight". These two are the greater than and less than signs, sometimes called the bigger than and smaller than signs. Both statements above describe the same fact.

A worked one-liner: which sign goes between 3/4 and 0.7? Write both as hundredths: 3/4 = 0.75 and 0.7 = 0.70. Since 0.75 is more than 0.70, the answer is 3/4 > 0.7.

1.1 Greater than or equal to sign, and the rest of the family

The greater than or equal to sign (≥) is a greater than sign with a line underneath. It means "bigger than or the same as". x ≥ 18 is true for 18, 19, 20 and every larger number. The less than or equal to symbol (≤) works the same way in the other direction. Together with = and ≠ these are the greater than less than equal to signs used in all of school mathematics.

1.2 Three ways to decide which sign is right

This calculator checks every answer three ways. The table shows when each method is the quickest one by hand.

Who uses it: pupils meet the greater than sign in the first years of school and use it through algebra, where it becomes the language of inequalities. Programmers write it in every if statement. Spreadsheet users type it in filters and IF formulas. Scientists use it to state limits such as p < 0.05. The symbols > and < first appeared in print in 1631, in a book by the English mathematician Thomas Harriot. The forms with a line underneath, ≥ and ≤, were used by the French scientist Pierre Bouguer in 1734.

Nothing is worked out until you press Solve. Pressing Enter in a number box does the same.

4.1 What the sign in your answer means

___ Solve a problem above to fill this paragraph with your own numbers.

A comparison sign makes a claim that is either true or false. "3/4 > 0.7" claims that 3/4 is the larger number, and it is true. The sign you choose has to match where the two numbers sit on the number line. The number further to the right is the greater one, every time, for whole numbers, fractions, decimals and negative numbers alike.

4.2 What the difference tells you

___ Solve a problem above to fill this paragraph with your own numbers.

Mathematicians define "greater than" with subtraction: a > b means that a − b is a positive number. That is why the calculator reports the difference. A positive difference gives >, a negative difference gives <, and a difference of exactly zero gives =. The size of the difference also tells you how far apart the numbers are, which the sign alone cannot.

4.3 Exact fractions against decimals

___ Solve a problem above to fill this paragraph with your own numbers.

A decimal check is fast, but rounding can mislead. 1/3 and 0.333 look equal to three places, yet 1/3 is greater, because 1/3 = 0.3333... goes on for ever. The exact method never rounds: 1/3 = 1000/3000 and 0.333 = 999/3000, and 1000 is more than 999. When two numbers are very close, trust the common denominator, not the rounded decimal.

4.4 What the charts show

___ Solve a problem above to fill this paragraph with your own numbers.

Chart 1 is the number line picture. Chart 2 shows each number as a bar, which makes "bigger" visible at a glance. Chart 3 shows the numerators once both numbers share a denominator. Chart 4 tests all six signs at once, so you can see that when A > B is true, A ≥ B and A ≠ B are true as well.

4.5 Greater than or less than sign with negative numbers

Negative numbers are where most mistakes happen. −8 looks bigger than −3 because 8 is bigger than 3, but −8 is the smaller number: it is further to the left, colder as a temperature and deeper as a debt. For two negative numbers, the one closer to zero is greater, so −3 > −8. Any positive number is greater than any negative number, and zero sits between them.

4.6 How the answer changes when you change a number

The sign only changes when the numbers cross each other. Raise 0.7 to 0.74 and 3/4 is still greater. Raise it to 0.75 and the two are equal. Raise it to 0.76 and the sign turns round to <. So a comparison is sensitive only near the point where the two values meet, and that is exactly where an exact method matters most.

4.7 When both signs are true, and when none is

If the numbers are equal, three statements are true at once: a = b, a ≥ b and a ≤ b. That is not a contradiction, because "or equal to" covers the equal case. At the other extreme, no sign can be written when one of the numbers does not exist. A fraction with 0 underneath, such as 5/0, is undefined, so 5/0 ? 2 has no answer at all.

4.8 Where this leads next

Once numbers can be compared, letters can be too. An inequality such as x > 3 uses the same sign to describe every number to the right of 3 on the number line. Solving inequalities follows the rules of equations, with one extra rule: multiplying or dividing both sides by a negative number turns the sign round.

▶ Solve a problem above to fill all five cards with your own answer.

This flowchart shows how to choose the greater than or less than sign, step by step, from two raw numbers to a finished statement. Every box uses the same worked example as the Excel, R and Python sections: which sign goes between 3/4 and 0.7?

Check any box yourself: the Excel sheet in Section 9, the R script in Section 10, the Python script in Section 11 and the written method in Section 14 all give 15/20 against 14/20 and a difference of 1/20 for this problem.

1. Choose a tab. Use Compare Two Numbers for one pair, Check a Statement to test something like 3/4 >= 0.7, Order a List to sort many numbers, or Batch to solve a whole worksheet.
2. Type the first number. Enter it the way you would write it: 3/4, 0.7, -5, 15%, 2 1/3, 3x10^8, sqrt(2) or pi. The keypad under the boxes has the keys a phone keyboard hides.
3. Type the second number. It can be in a different form from the first. Mixing a fraction with a decimal or a percent is exactly what the tool is for.
4. Or pick a sample problem. Ten built-in problems cover fractions, decimals, negative numbers, a percent, large numbers, a square root, equal values and an undefined case.
5. Set the decimal places and answer form. Choose 2, 4, 6 or 10 decimal places, and whether the answer box shows exact fractions or decimals only.
6. Press Solve. Nothing is worked out until you do. Changing any number clears the old result, so you never read a stale answer.
7. Read the answer box. It shows the two numbers with the correct sign between them, how to read it aloud, and a Verified badge once three methods agree.
8. Follow the step-by-step solution. Each step is one move: convert, find a common denominator, compare, cross-multiply, check with decimals, subtract, write the statement.
9. Check the table and the four charts. The table lists every value, including the difference and all six comparison signs. The charts show the numbers on a number line and as bars.
10. Download the working. Download Doc saves a text file with the answer and every step. Download PDF opens the print dialog with a clean one-page report.

Excel uses the greater than sign as a comparison operator. Put it between two cells and Excel answers TRUE or FALSE. With one IF formula you can also make Excel print the correct sign itself, which turns a sheet into a greater than less than sign calculator for a whole column of pairs. This section uses the same problem as the rest of the page: 3/4 in A2 and 0.7 in B2.

9.1 The functions you need

9.2 Step by step

9.3 The awkward cases

• Numbers stored as text. In Excel any text counts as greater than any number, so ="10">9 is TRUE for the wrong reason. Look for green triangles in the cell corners and convert the cells to numbers.
• Fifteen significant digits. Excel keeps about 15 digits. Two numbers that differ only at the 16th digit compare as equal. This calculator uses exact fractions, so it has no such limit.
• Typing the ≥ sign. In a formula always type >=. The single character ≥ is for display only. To show it in a cell use =UNICHAR(8805), or Insert, Symbol, then choose the Mathematical Operators subset.
• Greater than or equal sign in Word. Type 2265 and press Alt + X to get ≥. Type 2264 and press Alt + X to get ≤. The same works in Outlook.
• Comparing dates and times. Dates are stored as numbers, so =A2>B2 is TRUE when A2 is the later date.

9.4 Why Excel might disagree with R or Python

9.5 Charting it in Excel

1. Select the two numbers and their labels.
2. Choose Insert, Charts, Clustered Column. The taller column is the greater number.
3. For a number line picture, use Insert, Scatter with the numbers as x values and 0 as every y value. Do not use a Line chart, which spaces the points evenly and hides the real gap.
4. Set the vertical axis to start at 0, or small differences will look larger than they are.

9.6 Excel errors you will probably hit

In R the greater than sign is the operator >, and 3/4 > 0.7 returns TRUE. The script below goes further. It compares the two numbers exactly with whole-number arithmetic, prints the correct sign with the working, checks the answer and saves one figure at 300 dpi. It uses base R only.

10.1 The complete script

R, base only, saves greater_than_sign.png

# ============================================================
# Greater than sign: which sign goes between two numbers?
# StatsUnlock - https://statsunlock.com/greater-than-sign/
# Base R only. No packages to install.
# ============================================================

# ---- 1. Your two numbers, each as numerator / denominator --
# 3/4 is 3 over 4. The decimal 0.7 is 7 over 10.
a_num <- 3;  a_den <- 4      # A = 3/4
b_num <- 7;  b_den <- 10     # B = 0.7 = 7/10
a_text <- "3/4"
b_text <- "0.7"

# ---- 2. Exact comparison with whole numbers only -----------
# Cross-multiply. Both denominators must be positive.
stopifnot(a_den > 0, b_den > 0)
cross_a <- a_num * b_den     # 3 * 10 = 30
cross_b <- b_num * a_den     # 7 * 4  = 28

if (cross_a > cross_b) {
  sign_chr <- ">"
} else if (cross_a == cross_b) {
  sign_chr <- "="
} else {
  sign_chr <- "<"
}
words <- c(">" = "is greater than", "=" = "is equal to", "<" = "is less than")

# ---- 3. Show the working -----------------------------------
gcd <- function(x, y) if (y == 0) abs(x) else gcd(y, x %% y)
lcd   <- a_den * b_den / gcd(a_den, b_den)
top_a <- a_num * lcd / a_den
top_b <- b_num * lcd / b_den
d_num <- cross_a - cross_b
d_den <- a_den * b_den
g     <- gcd(d_num, d_den)
A <- a_num / a_den
B <- b_num / b_den

cat(sprintf("A = %s = %d/%d = %.4f\n", a_text, a_num, a_den, A))
cat(sprintf("B = %s = %d/%d = %.4f\n", b_text, b_num, b_den, B))
cat(sprintf("Common denominator %d: %d/%d and %d/%d\n", lcd, top_a, lcd, top_b, lcd))
cat(sprintf("Cross products: %d and %d\n", cross_a, cross_b))
cat(sprintf("Difference A - B = %d/%d = %.4f\n", d_num / g, d_den / g, A - B))
cat(sprintf("Answer: %s %s %s   (%s %s %s)\n",
            a_text, sign_chr, b_text, a_text, words[[sign_chr]], b_text))

# ---- 4. Check the answer -----------------------------------
# sign() gives 1, 0 or -1. The exact and the decimal route must agree.
stopifnot(sign(cross_a - cross_b) == sign(top_a - top_b))
stopifnot(isTRUE(all.equal(A - B, d_num / d_den)))
cat("Check passed: tops, cross products and difference all agree.\n")

# ---- 5. One figure: both numbers on a number line ----------
png("greater_than_sign.png", width = 2400, height = 900, res = 300)
par(mar = c(4.2, 1, 2.6, 1), family = "sans")
lo <- min(A, B, 0); hi <- max(A, B, 1); pad <- (hi - lo) * 0.08
plot(NA, xlim = c(lo - pad, hi + pad), ylim = c(-1, 1), yaxt = "n", ylab = "",
     xlab = "Number line (further right is greater)", bty = "n")
segments(lo - pad, 0, hi + pad, 0, col = "#475569", lwd = 2)
points(c(A, B), c(0, 0), pch = 19, cex = 2.2, col = c("#2563eb", "#ea580c"))
text(A, 0.45, a_text, col = "#2563eb", font = 2)
text(B, -0.45, b_text, col = "#ea580c", font = 2)
title(main = paste(a_text, sign_chr, b_text), adj = 0, font.main = 2)
dev.off()
cat("Saved greater_than_sign.png\n")

Expected output: common denominator 20 with 15/20 and 14/20, cross products 30 and 28, difference 1/20 = 0.0500, and the answer 3/4 > 0.7.

10.2 What each part does

10.3 What the figure shows

A number line from 0 to 1 with two dots: blue for A (3/4) and orange for B (0.7). The blue dot is further to the right, which is the picture behind the statement 3/4 > 0.7. The title of the figure is the finished statement.

10.4 Common R problems and fixes

10.5 Useful one-liners

Python writes greater than as > and greater than or equal to as >=. The script below uses the built-in fractions module, so 3/4 and 0.7 are held as exact fractions and the comparison can never be upset by rounding. It prints the sign with the working, checks the answer three ways and saves one 300 dpi figure.

Install the one outside package with pip install matplotlib. math.lcm needs Python 3.9 or newer.

11.1 The complete script

Python 3.9+, saves greater_than_sign.png

# ============================================================
# Greater than sign: which sign goes between two numbers?
# StatsUnlock - https://statsunlock.com/greater-than-sign/
# Exact arithmetic with fractions.Fraction, one 300 dpi figure.
# ============================================================
import math
from fractions import Fraction

import matplotlib
matplotlib.use("Agg")              # remove this line in Jupyter
import matplotlib.pyplot as plt

# ---- 1. Your two numbers -----------------------------------
# Give each number as text so nothing is rounded on the way in.
a_text = "3/4"
b_text = "0.7"

A = Fraction(a_text)               # 3/4
B = Fraction(b_text)               # 7/10, exact

# ---- 2. Choose the sign ------------------------------------
if A > B:
    sign, words = ">", "is greater than"
elif A == B:
    sign, words = "=", "is equal to"
else:
    sign, words = "<", "is less than"

# ---- 3. Show the working -----------------------------------
lcd = math.lcm(A.denominator, B.denominator)
top_a = A.numerator * (lcd // A.denominator)
top_b = B.numerator * (lcd // B.denominator)
cross_a = A.numerator * B.denominator
cross_b = B.numerator * A.denominator
diff = A - B

print(f"A = {a_text} = {A} = {float(A):.4f}")
print(f"B = {b_text} = {B} = {float(B):.4f}")
print(f"Common denominator {lcd}: {top_a}/{lcd} and {top_b}/{lcd}")
print(f"Cross products: {cross_a} and {cross_b}")
print(f"Difference A - B = {diff} = {float(diff):.4f}")
print(f"Answer: {a_text} {sign} {b_text}   ({a_text} {words} {b_text})")

# ---- 4. Check the answer three ways ------------------------
by_tops = (top_a > top_b) - (top_a < top_b)
by_cross = (cross_a > cross_b) - (cross_a < cross_b)
by_diff = (diff > 0) - (diff < 0)
assert by_tops == by_cross == by_diff, "the three methods disagree"
print("Check passed: tops, cross products and difference all agree.")

# ---- 5. One figure: both numbers on a number line ----------
fig, ax = plt.subplots(figsize=(8, 2.6))
lo = min(float(A), float(B), 0.0)
hi = max(float(A), float(B), 1.0)
pad = (hi - lo) * 0.08
ax.hlines(0, lo - pad, hi + pad, color="#475569", linewidth=2, zorder=1)
ax.scatter([float(A)], [0], s=180, color="#2563eb", zorder=3, label=f"A = {a_text}")
ax.scatter([float(B)], [0], s=180, color="#ea580c", zorder=3, label=f"B = {b_text}")
ax.annotate(a_text, (float(A), 0), xytext=(0, 16), textcoords="offset points",
            ha="center", color="#2563eb", fontweight="bold")
ax.annotate(b_text, (float(B), 0), xytext=(0, -24), textcoords="offset points",
            ha="center", color="#ea580c", fontweight="bold")
ax.set_ylim(-1, 1)
ax.set_yticks([])
ax.set_xlabel("Number line (further right is greater)")
ax.set_title(f"{a_text} {sign} {b_text}", fontweight="bold", loc="left")
ax.spines[["top", "right", "left"]].set_visible(False)
ax.legend(frameon=False, loc="upper left", ncol=2)
fig.savefig("greater_than_sign.png", dpi=300, bbox_inches="tight")
print("Saved greater_than_sign.png")

Run it with python greater_than_sign.py. It prints 15/20 and 14/20, cross products 30 and 28, a difference of 1/20 = 0.0500 and the answer 3/4 > 0.7. In Jupyter or Google Colab, delete the matplotlib.use("Agg") line and add plt.show() at the end.

11.2 What each part does

11.3 What the figure shows

The same number line as the R script: a blue dot at 3/4 and an orange dot at 0.7, with the statement 3/4 > 0.7 as the title. The number further to the right is the greater one.

11.4 Common Python problems and fixes

11.5 Useful one-liners

12.1 Greater than and less than symbols, with their codes

How to use this table: copy a sign from the first column, or type the code from the column that matches where you are writing. "Not greater than" means the same as "less than or equal to".

12.2 Greater than sign on keyboard: how to type each sign

The key positions are for a US or UK keyboard layout. Alt codes need the number pad with Num Lock on. On a phone, press and hold the > or = key on the symbols page to see more signs, or copy the sign from Section 0. In Google Docs, use Insert, Special characters and search for "greater".

12.3 Benchmark fractions, decimals and percents

How to use this table: the rows run from smallest to largest down each half. To compare two benchmark values, find both and see which is lower in the table.

12.4 How to compare each type of number

12.5 Rules that keep or turn the sign

12.6 The signs on a number line and in interval notation

The line under the greater than sign and the filled circle mean the same thing: the end value itself is allowed.

Eight greater than sign examples, from the first one a child meets to the traps that catch older students. Each shows the working, a number line and how to write the answer.

This is the pen and paper method a teacher expects to see, worked on the same example as Sections 7, 9, 10 and 11: which sign goes between 3/4 and 0.7?

14.1 The written method

1. Write the two numbers with a gap between them. 3/4  ___  0.7.
2. Check both numbers exist. Neither has 0 underneath a fraction line, so both are real numbers.
3. Put them in one form. Turn the decimal into a fraction: 0.7 has one decimal place, so 0.7 = 7/10.
4. Look at the signs. Both are positive, so their sizes must be compared.
5. Find a common denominator. The lowest number that 4 and 10 both divide into is 20.
6. Rewrite both fractions. 3/4 = 15/20 (multiply top and bottom by 5). 7/10 = 14/20 (multiply top and bottom by 2).
7. Compare the numerators. 15 is more than 14, so 15/20 is the greater fraction.
8. Write the sign with its open side toward the greater number. 3/4 > 0.7.
9. Check. As decimals, 0.75 and 0.70: the hundredths agree with the answer. As a subtraction, 15/20 − 14/20 = 1/20, which is positive.

14.2 On a scientific calculator

No school calculator has a key that prints the greater than sign for you. Subtract instead, and read the sign of the answer.

On the TI-84 TEST menu the six signs are listed in this order: =, ≠, >, ≥, <, ≤. The Casio models have an Inequality mode, but it solves inequalities with x in them and does not compare two plain numbers. Keystrokes differ a little between models and software versions, so confirm them against the maker's manual.

14.3 Practice problems with answers

Put >, < or = between each pair. Open a card to see the answer and the reason.

14.4 Mistakes that lose marks

• Judging a decimal by its length: 0.45 has more digits than 0.5, but 0.5 is greater.
• Comparing two negative numbers by their digits: −8 is less than −3, not greater.
• Comparing only numerators or only denominators of two fractions. 3/8 is less than 2/5 even though 3 is more than 2 and 8 is more than 5.
• Rounding too early: 1/3 and 0.333 are not equal. 1/3 is greater.
• Writing the sign backwards. Read your answer aloud: "three quarters is greater than 0.7" must sound true.
• Forgetting to turn the sign when multiplying or dividing both sides by a negative number.
• Using > when the question says "at least". "At least 18" means ≥ 18, which includes 18 itself.

Choosing between the greater than sign and the less than sign is the right tool whenever a question asks "which is bigger?" about two definite numbers.

Use it when:

• ✓ You have two numbers in different forms, such as a fraction and a decimal, or a percent and a fraction.
• ✓ The numbers are close together and you need to be certain, not roughly right.
• ✓ Negative numbers are involved and you want to avoid the usual slip.
• ✓ You need to put a list in order from least to greatest.
• ✓ You want to check whether a written statement such as 5/8 ≥ 0.6 is true.

Use something else when:

• ✗ The statement has a letter in it, such as 2x + 1 > 7. That is an inequality to solve, not two numbers to compare.
• ✗ You want to know how many times bigger one number is. That is a ratio or a percentage change.
• ✗ The values are measurements with error, and you want to know if the gap is real. That needs a statistical test.
• ✗ You are comparing words or dates. Those follow alphabetical or calendar order.

Four everyday examples:

1. Shopping: is 15% off better than 1/8 off? 15% = 0.15 and 1/8 = 0.125, so 15% > 1/8.
2. Cooking: is a 2/3 cup measure bigger than a 3/5 cup measure? Yes, 2/3 > 3/5.
3. Weather: is −2 °C warmer than −5 °C? Yes, −2 > −5.
4. Rules and limits: "you must be at least 120 cm tall" is written height ≥ 120.

Decision tree for the quickest method:

Assumptions

1. The numbers are real numbers. The signs > and < have no meaning for complex numbers such as 2 + 3i. If you type something that is not a real number, the tool says so.
2. What you type is exact. 0.333 is treated as 333/1000, not as 1/3. To mean one third, type 1/3 or the repeating decimal 0.(3).
3. Decimals use a full stop. 0.7 is read correctly. A decimal comma, as in 0,7, is read as a separator in list mode.
4. A percent means "out of 100". 15% is read as 0.15. It is not 15% of the other number.
5. The slash means division. 3/4 is three divided by four. A date such as 3/4 is not understood as a date.

Limitations

1. Irrational numbers are compared with bounds. Square roots are compared exactly by squaring. π and e are compared with bounds that are correct to 40 decimal places, which is far more than any practical problem needs.
2. No general expressions. The tool reads single numbers, not sums such as 1/2 + 1/3. Work the expression out first, or use the Algebra Calculator.
3. No inequalities with letters. It will not solve 2x + 1 > 7. It compares numbers only.
4. Powers of ten only. 3x10^8 is read, but 2^10 is not.
5. Size limits. Lists hold up to 200 numbers and batches up to 500 lines.

The greater than sign is one of the smallest marks in mathematics, and it carries a precise claim: the number on the open side is the bigger one. Getting it right is never about the shape of the sign. It is about knowing, with certainty, which of two numbers is further to the right on the number line.

What the answer is

___ Solve a problem above to see the sign for your numbers.

For the worked example on this page the answer is 3/4 > 0.7. Over a common denominator the numbers are 15/20 and 14/20, the cross products are 30 and 28, and the difference is 1/20. Three methods, one sign.

What it tells you

___

A comparison answers "which is bigger?" and nothing more. To know how much bigger, look at the difference or the ratio, both of which are in the results table.

Watch out for

___

Three situations cause nearly every wrong sign: two negative numbers, decimals of different lengths, and fractions compared by their tops alone. In each case the cure is the same. Put both numbers in one form, then compare.

Next steps

___

Practise with the ten problems in Section 14.3, then move on to inequalities with a letter in them, where the same signs describe whole ranges of numbers. For arithmetic on the numbers themselves, the 4 Function Calculator and the Factor Calculator are the natural companions. Come back to this page whenever you need to be sure which way round to write the greater than sign.

These peer-reviewed journal articles support the methods and teaching points on this page: how people compare numbers, why fractions, decimals and negative numbers cause mistakes, how students read relational symbols, and why computers need care with decimal comparisons.

1. Bofferding, L. (2014). Negative integer understanding: Characterizing first graders' mental models. Journal for Research in Mathematics Education, 45(2), 194–245. https://doi.org/10.5951/jresematheduc.45.2.0194
2. Bonato, M., Fabbri, S., Umiltà, C., & Zorzi, M. (2007). The mental representation of numerical fractions: Real or integer? Journal of Experimental Psychology: Human Perception and Performance, 33(6), 1410–1419. https://doi.org/10.1037/0096-1523.33.6.1410
3. Dehaene, S., Dupoux, E., & Mehler, J. (1990). Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. Journal of Experimental Psychology: Human Perception and Performance, 16(3), 626–641. https://doi.org/10.1037/0096-1523.16.3.626
4. De Smedt, B., Verschaffel, L., & Ghesquière, P. (2009). The predictive value of numerical magnitude comparison for individual differences in mathematics achievement. Journal of Experimental Child Psychology, 103(4), 469–479. https://doi.org/10.1016/j.jecp.2009.01.010
5. DeWolf, M., Grounds, M. A., Bassok, M., & Holyoak, K. J. (2014). Magnitude comparison with different types of rational numbers. Journal of Experimental Psychology: Human Perception and Performance, 40(1), 71–82. https://doi.org/10.1037/a0032916
6. Durkin, K., & Rittle-Johnson, B. (2015). Diagnosing misconceptions: Revealing changing decimal fraction knowledge. Learning and Instruction, 37, 21–29. https://doi.org/10.1016/j.learninstruc.2014.08.003
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