How to Solve Decimals — Step by Step Guide
Perform operations with decimal numbers and convert between decimals and fractions. This guide covers Class 5 to 7.
Step-by-Step Method
- 1
For addition/subtraction: align the decimal points vertically and then add or subtract as usual.
- 2
For multiplication: multiply as whole numbers, then count total decimal places in both numbers and place the point.
- 3
For division: move the decimal point in the divisor to make it a whole number, and move it the same number of places in the dividend.
- 4
To convert a decimal to a fraction: write the decimal as a fraction with denominator as a power of 10, then simplify.
- 5
To convert a fraction to a decimal: divide the numerator by the denominator.
Worked Example
Problem: Calculate 3.25 × 0.4
Solution: 325 × 4 = 1300. Total decimal places = 2 + 1 = 3. So 3.25 × 0.4 = 1.300 = 1.3.
Common Mistakes to Avoid
- ✗
Not aligning decimal points properly during addition and subtraction.
- ✗
Counting decimal places incorrectly during multiplication.
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Forgetting to move the decimal in both dividend and divisor during division.
- ✗
Confusing 0.5 with 0.05 — place value matters.
Practice Decimals on SparkEd
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Frequently Asked Questions
- How do I solve Decimals problems?
- For addition/subtraction: align the decimal points vertically and then add or subtract as usual. For multiplication: multiply as whole numbers, then count total decimal places in both numbers and place the point.
- What are common mistakes in Decimals?
- Not aligning decimal points properly during addition and subtraction. Counting decimal places incorrectly during multiplication.
- Which class covers Decimals?
- Decimals is typically taught in Class 5, 6, 7. SparkEd has free practice for all these grades.
- Where can I practise Decimals for free?
- SparkEd offers free chapter-wise practice for Decimals aligned to CBSE, ICSE, and IB curricula. Visit sparkedmaths.com to start.
SparkEd Maths — sparked.coms@gmail.com — www.sparkedmaths.com