Comparing Decimals

Sometimes, we need to compare decimals in order to come up with the most accurate answers. But in the world of math, there''s always a very specific way of doing things. Let''s find out how pro mathematicians compare decimals:

How to compare decimals

The first step is to figure out whether the integer parts are different. Remember that integers are the whole numbers that go before the decimal. Integers are "integral" or whole.

The next step is to find out whether the two numbers have the same number of decimal points. If they don''t, you can write additional zeros in place of missing decimal points to make sure each number lines up perfectly.

Examples of how to compare decimals

Compare 7.8 with 7.099.

We know that the integers are the same, so write two zeros after 7.8 to make the numbers line up:

7.800 and 7.099. We know that 7.800 is greater than 7.099.

We also know that the first digit that differs is in the tenths place: 8 and 0. 8 is greater than 0, so we know which number is greater.

We can also visualize this difference on a number line:


Another method involves converting the two numbers into fractions:

and

This clarifies which number is greater.

Topics related to the Comparing Decimals

Adding and Subtracting Decimals

Decimals an Introduction

Decimals, Rounding

Flashcards covering the Comparing Decimals

5th Grade Math Flashcards

Common Core: 5th Grade Math Flashcards

Practice tests covering the Comparing Decimals

MAP 5th Grade Math Practice Tests

Common Core: 5th Grade Math Diagnostic Tests

Your student can work with a tutor to gain confidence when comparing decimals

Sometimes, all it takes is a few extra hours of practice each week for students to establish confidence in their abilities -- whether they''re comparing, adding, or subtracting decimals. One-on-one tutoring sessions represent ideal opportunities to get extra practice, ask questions, and see concepts explained in new, more relatable ways. Reach out to Varsity Tutors today, and we''ll pair your student with the right tutor.