How to Compare Decimals? (+FREE Worksheet!)
Is it difficult for you to compare decimal numbers? In this blog post, you will learn more about decimal numbers and how to compare two decimal numbers. So join us!
Decimals are a way of displaying very small numbers without using a fraction. Decimal numbers are numbers that consist of two parts, integer, and decimal.
Fractions whose denominator is \(10\) or \(100\) or \(1000\) or … are called decimal fractions.
Note: In decimal numbers, the first digit after the decimal point is called the tenth, the second digit is the hundredth, the third digit is the thousandth, and so on.
The Absolute Best Books to Ace Pre-Algebra to Algebra II
Related Topics
Step-by-step guide to compare decimals
A decimal is a fraction written in a special form. For example, instead of writing \(\frac{1}{2}\) you can write \(0.5\).
For comparing decimals:
- Step 1: First, compare the integer parts. In this case, the number is larger if the integer part is larger.
- Step 2: If the number of digits in the integer part of two decimal numbers were equal to each other, compare the digits in order from the left in such a way that first compares tenth, then hundredths, then thousandths, and so on. The different first digit indicates the larger and smaller number.
- Note: To compare numbers, use these symbols: Equal to \(=\), Less than \(<\), Greater than \(>\) Greater than or equal \(\geq\), Less than or equal \(\leq\)
Compare Decimals – Example 1:
Compare \(0.40\) and \(0.04\).
Solution:
\(0.40\) is greater than \(0.04\), because the tenth place of \(0.40\) is \(4\), but the tenth place of \(0.04\) is zero. Then: \(0.40 \ > \ 0.04 \)
Compare Decimals – Example 2:
Compare \(0.0912\) and \(0.912\).
Solution:
\(0.912\) is greater than \(0.0912\), because the tenth place of \(0.912\) is \(9\), but the tenth place of \(0.0912\) is zero. Then: \(0.0912 \ < \ 0.912 \)
Compare Decimals – Example 3:
Compare \(0.20\) and \(0.02\).
Solution:
\(0.20\) is greater than \(0.02\), because the tenth place of \(0.20\) is \(2\), but the tenth place of \(0.02\) is zero. Then: \(0.20>0.02 \)
The Best Book to Help You Ace Pre-Algebra
Compare Decimals – Example 4:
Compare \(0.0210\) and \(0.110\).
Solution:
\(0.110\) is greater than \(0.0210\), because the tenth place of \(0.110\) is \(1\), but the tenth place of \(0.0210\) is zero. Then: \(0.0210<0.110\)
Exercises for comparing decimals
Write the correct comparison symbol (>, < or =).
- \(\color{blue}{1.25 \ \ \ \ 2.3}\)
- \(\color{blue}{0.5 \ \ \ \ 0.23}\)
- \(\color{blue}{3.20 \ \ \ \ 3.2}\)
- \(\color{blue}{4.58 \ \ \ \ 45.8}\)
- \(\color{blue}{2.75 \ \ \ \ 0.275}\)
- \(\color{blue}{5.2 \ \ \ \ 5}\)
Download Comparing Decimals Worksheet
- \(\color{blue}{1.25 < 2.3}\)
- \(\color{blue}{0.5 > 0.23}\)
- \(\color{blue}{3.20 = 3.2}\)
- \(\color{blue}{4.58 < 45.8}\)
- \(\color{blue}{2.75 > 0.275}\)
- \(\color{blue}{5.2 > 5}\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- Algebra Puzzle – Challenge 56
- What’s A Good ACT Score?
- 6th Grade SBAC Math FREE Sample Practice Questions
- How to Demystifying the Bell Curve: A Comprehensive Guide to Understanding Normal Distribution
- How to Solve Rationalizing Imaginary Denominators? (+FREE Worksheet!)
- FREE 3rd Grade Georgia Milestones Assessment System Math Practice Test
- 10 Most Common 5th Grade STAAR Math Questions
- How to Demystify Differences: A Guide to Subtracting Fractions with Unlike Denominators
- 10 Most Common 8th Grade MCAS Math Questions
- ACT Math- Test Day Tips
What people say about "How to Compare Decimals? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.