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Compare: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">CompareCompare: Definition and ExampleTable of ContentsDefinition of Comparing Numbers

Comparing numbers in mathematics is the process of determining whether one number is smaller than, greater than, or equal to another number based on their values. The standard symbols used for comparing numbers are ">" (greater than), "

Mathematics involves comparing various types of numbers, each requiring specific techniques. For whole numbers and integers, we compare based on place value and sign. With fractions, we either compare numerators when denominators are identical (like fractions) or use methods such as cross multiplication or converting to equivalent fractions with common denominators (unlike fractions). Decimals are compared by examining digits from left to right, starting with whole numbers and proceeding through decimal places. Rational numbers follow similar principles to fractions, with the additional rule that positive numbers exceed negative numbers.

Examples of Number Comparison Example 1: Comparing Integers on a Number Line Problem:

Compare -10 and 5 on the number line.

Step-by-step solution: Step 1, Visualize a number line with negative numbers on the left and positive numbers on the right of zero. Step 2, Identify where -10 and 5 would be positioned on this number line. The number -10 appears to the left of zero, while 5 appears to the right of zero. Step 3, On a number line, numbers to the right are always greater than numbers to the left. Step 4, Since -10 is to the left of 5 on the number line, we can conclude that -10

Number Line

Example 2: Comparing Expressions Problem:

Which comparison symbol (>, ×\times× 750 and 3 ×\times× 550?

Step-by-step solution: Step 1, Calculate the value of each expression separately. 2 ×\times× 750 = 1,500 3 ×\times× 550 = 1,650 Step 2, Compare the resulting values as you would any whole numbers. 1,500 and 1,650 Step 3, Which number is greater? Look at the thousands place (both have 1 thousand), then the hundreds place (5 hundreds vs 6 hundreds). Step 4, 1,650 has more hundreds than 1,500, we determine that: 1,500 Step 5, The original expressions compare as: 2 ×\times× 750 ×\times× 550 Example 3: Comparing Volume Measurements Problem:

Compare 2 liters 500 milliliters and 3,000 milliliters.

Step-by-step solution: Step 1, Convert both measurements to the same unit to make comparison possible. Let's convert everything to milliliters. Step 2, 1 liter = 1,000 milliliters Step 3, Converting the first measurement: 2 liters 500 milliliters = 2 ×\times× 1,000 + 500 milliliters = 2,500 milliliters Step 4, Compare: 2,500 milliliters and 3,000 milliliters Step 5, Comparing these values: 2,500 Step 6, 2 liters 500 milliliters Comments(9)TTableTennisFanXavierNovember 5, 2025I've used this compare glossary page with my students. It's a great resource, making the concept easy to grasp through examples and visuals!

GGolfEnthusiastNinaNovember 4, 2025I've used this glossary page to teach comparing numbers. It's super helpful with the examples and visuals. Thanks for the great resource!

YYogiVeraNovember 4, 2025I've used this glossary page to teach my students how to compare numbers. The examples and visuals really helped them grasp the concept!

NNatureLover85September 17, 2025I used this page to teach my kids how to compare numbers, and the examples with number lines made it so easy for them to understand. It’s a great resource for visual learners!

NNatureLover99September 10, 2025I used this definition and examples to help my kids understand comparing numbers. The number line visuals made it so much easier for them to grasp! Thanks for breaking it down so clearly.

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