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Quizzes > Mathematics > Basic Math & Arithmetic

Greater-Than, Less-Than, or Same As Quiz: Ready to Compare?

Dive into this comparing numbers quiz and master greater-than sign practice problems!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art quiz graphic with paper cut greater than sign puzzle pieces, number symbols on a golden yellow background

This quiz helps you practice the greater-than sign by comparing numbers and simple inequalities. Build speed and accuracy for class, homework, or a test, then try these greater-than problems or get more inequalities practice . Questions start easy and grow harder.

Which comparison correctly uses the greater-than sign for the numbers 5 and 3?
3 < 5
5 < 3
3 > 5
5 > 3
To compare 5 and 3, we see that 5 is numerically greater than 3. The greater-than sign (>) is correctly placed between them as 5 > 3. This notation always places the larger number on the left side. For more on comparing numbers, see .
Which comparison correctly uses the greater-than sign for the numbers 10 and 7?
7 > 10
10 > 7
10 < 7
7 < 10
Since 10 is larger than 7, the symbol > should point from 10 toward 7 as 10 > 7. The greater-than sign always has its open side facing the larger number. This makes the comparison clear and unambiguous. Learn more about the > symbol at .
Which comparison correctly uses the greater-than sign for the numbers 0 and -2?
0 < -2
-2 < 0
-2 > 0
0 > -2
Zero is always greater than any negative number, so 0 > -2 is the correct inequality. The greater-than sign shows that 0 lies to the right of -2 on the number line. Always remember negatives are less than positives. See for more detail.
Which comparison correctly uses the greater-than sign when comparing 3.2 and 3.02?
3.02 > 3.2
3.02 < 3.2
3.2 < 3.02
3.2 > 3.02
Comparing the decimals digit by digit, 3.2 (which is 3.20) is larger than 3.02. Hence the correct notation is 3.2 > 3.02. The greater-than sign indicates that the left value has the larger magnitude. For a refresher, check .
Which comparison correctly uses the greater-than sign when comparing -1 and -5?
-5 > -1
-1 > -5
-1 < -5
-5 < -1
On the number line, -1 is to the right of -5, making -1 greater than -5. The greater-than symbol flips direction based on position, so we write -1 > -5. Remember that among negatives, the one closer to zero is larger. More examples are available at .
Which comparison correctly uses the greater-than sign for the fractions 2/3 and 3/5?
2/3 < 3/5
2/3 > 3/5
3/5 < 2/3
3/5 > 2/3
Convert both fractions to a common denominator or decimals: 2/3 ? 0.6667 and 3/5 = 0.6. Since 0.6667 is larger, the correct statement is 2/3 > 3/5. The greater-than sign shows this relationship clearly. For more fraction comparison strategies, visit .
Which comparison correctly uses the greater-than sign when comparing 2^3 and 3^2?
2^3 > 3^2
3^2 < 2^3
2^3 < 3^2
3^2 > 2^3
Evaluate each exponent: 2^3 = 8 and 3^2 = 9. Since 9 is greater than 8, the correct inequality is 3^2 > 2^3. The greater-than sign compares the resulting values, not the bases. Additional details can be found at .
Which comparison correctly uses the greater-than sign when comparing ?50 and 7?
?50 > 7
7 < ?50
?50 < 7
7 > ?50
Calculate ?50 ? 7.071. Since 7.071 is slightly larger than 7, the correct comparison is ?50 > 7. The greater-than sign indicates that the root value exceeds 7. For deeper insight into roots and comparisons, see .
Which comparison correctly uses the greater-than sign when comparing ? (3.14) and e (2.72)?
e > ?
? > e
? < e
e < ?
Using standard approximations ? ? 3.1416 and e ? 2.7183, ? is larger than e. Therefore, the correct inequality is ? > e. Always compare numerical approximations when dealing with irrational constants. For more on these constants, review .
Solve the inequality 3x - 5 > 10. Which of the following expresses the solution set?
x < -5
x > 5
x > -5
x < 5
Add 5 to both sides: 3x > 15. Then divide by 3 (a positive number) to get x > 5. The inequality direction remains unchanged because the divisor is positive. For a step-by-step walkthrough, visit .
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Study Outcomes

  1. Understand inequality symbols -

    Students will distinguish between the greater-than and less-than signs when comparing numerical values.

  2. Identify correct symbols -

    Participants will select the appropriate greater-than, less-than, or equal-to symbol for each comparison problem.

  3. Compare whole numbers and decimals -

    Readers will apply inequality symbol practice to both whole numbers and decimal values with confidence.

  4. Evaluate numerical relationships -

    Users will analyze pairs of numbers to determine which are greater, which are lesser, or if they are equal.

  5. Boost problem-solving speed -

    Quiz takers will improve their confidence and accuracy when tackling comparing numbers quizzes under time constraints.

Cheat Sheet

  1. Interpreting the Greater-Than Sign -

    Understanding that ">" points toward the smaller number like an alligator's open mouth helps solidify its use in any greater-than sign practice problems. This friendly mnemonic is widely endorsed by education platforms such as Khan Academy to reinforce symbol direction. By visualizing the symbol as a hungry alligator, students remember that it always "eats" the larger value.

  2. Comparing Whole Numbers -

    In a comparing numbers quiz, always line up digits by place value from left to right: the first digit that differs determines which number is greater. For example, in 5,432 vs. 5,387 the thousands and hundreds match, but 4 (in the tens place) is greater than 8 only if we correct place alignment or note 43 > 38. Reputable sources like the NCTM stress mastering place value to avoid errors in less-than sign practice problems.

  3. Cross-Multiplying Fractions -

    When two fractions are involved in inequality symbol practice, you can compare a/b > c/d by cross-multiplying: compute ad and bc, then see if ad > bc. For instance, 3/4 > 2/3 because 3×3 (9) > 4×2 (8). This method, recommended by university math departments like MIT's OpenCourseWare, bypasses common fraction-comparison pitfalls.

  4. Aligning Decimals Correctly -

    In a math inequality quiz with decimals, pad numbers with zeros so that each place value lines up: for example, compare 2.50 and 2.407 by treating them as 2.500 vs. 2.407. Since 0.500 > 0.407, you conclude 2.50 > 2.407. This technique is highlighted in high-school curricula and helps avoid misreads when decimals differ in length.

  5. Working with Compound Inequalities -

    Compound chains like 1 < x < 5 show that x lies between two values; you treat them as two separate inequalities: 1 < x and x < 5. Graphing on a number line or solving algebraically (adding/subtracting the same amount) deepens understanding of range notation and interval concepts. The University of California's math resources emphasize this approach for comprehensive inequality symbol practice.

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