Decimals Examples in Math
Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Decimals.
This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.
Concept Recap
Numbers written with a decimal point where each position to the right represents tenths, hundredths, thousandths, etc.
Money uses decimals: \3.50$ means 3 dollars and 50 cents (half a dollar).
Read the full concept explanation →How to Use These Examples
- Read the first worked example with the solution open so the structure is clear.
- Try the practice problems before revealing each solution.
- Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea: Decimals extend the base-ten place-value system to the right of the ones place for fractions.
Common stuck point: More digits after the decimal point does not mean a larger number: 0.9 > 0.15 even though 0.15 has more digits.
Sense of Study hint: Write the numbers in a column and line up the decimal points, adding trailing zeros so both have the same number of digits after the point.
Worked Examples
Example 1
easySolution
- 1 Align the decimal points and add column by column: ones, tenths, hundredths.
- 2 Hundredths: 5 + 8 = 13, write 3 carry 1. Tenths: 7 + 4 + 1 = 12, write 2 carry 1. Ones: 3 + 2 + 1 = 6.
- 3 Result: 3.75 + 2.48 = 6.23.
Answer
Example 2
mediumPractice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easyExample 2
hardRelated Concepts
Background Knowledge
These ideas may be useful before you work through the harder examples.