Ready to sharpen your comparing numbers skills? Dive into our free greater-than sign practice problems quiz and take on a fun comparing numbers quiz that will boost your confidence with inequalities. Whether you're mastering less-than sign practice problems or honing your inequality symbol practice, this math inequality quiz has you covered. Our interactive format helps you visualize each equation, compare values, and reinforce key concepts in a friendly, step-by-step style. Think you can spot which sign belongs? Embark on this challenge and click the link to start tackling greater-than sign practice problems now - your math mastery awaits! Ready for more? Try our inequalities quiz after you finish for extra practice!
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 Khan Academy.
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 Math is Fun.
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 Number Line Basics 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 Purplemath on Decimal Comparison.
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 Khan Academy Negative Numbers.
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 Math is Fun - Compare Fractions.
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 Khan Academy on Exponents.
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 Purplemath Square Roots.
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 Mathematical Constants.
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 Khan Academy Inequalities.
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Study Outcomes
Understand inequality symbols -
Students will distinguish between the greater-than and less-than signs when comparing numerical values.
Identify correct symbols -
Participants will select the appropriate greater-than, less-than, or equal-to symbol for each comparison problem.
Compare whole numbers and decimals -
Readers will apply inequality symbol practice to both whole numbers and decimal values with confidence.
Evaluate numerical relationships -
Users will analyze pairs of numbers to determine which are greater, which are lesser, or if they are equal.
Boost problem-solving speed -
Quiz takers will improve their confidence and accuracy when tackling comparing numbers quizzes under time constraints.
Cheat Sheet
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.
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.
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.
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.
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.
