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. 1

    For addition/subtraction: align the decimal points vertically and then add or subtract as usual.

  2. 2

    For multiplication: multiply as whole numbers, then count total decimal places in both numbers and place the point.

  3. 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. 4

    To convert a decimal to a fraction: write the decimal as a fraction with denominator as a power of 10, then simplify.

  5. 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.

  • 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