This is a comprehensive lesson plan for teaching decimals and percentages to grade 5 students. The lesson is designed to make the concepts easy and engage students with activities like quizzes, practice questions and worksheets.
Teachers can use this guide as a reference for delivering the concepts to students and engaging them in the classroom with the various questions and examples given on this page.
For parents, there are 12 downloadable practice worksheets that they can use for their kids.
In this article, you will learn:
A decimal number represents a fraction using a decimal point (.). It consists of:
Example: 12.35
Place Value |
Thousands |
Hundreds |
Tens |
Ones |
Decimal Point |
Tenths |
Hundredths |
Thousandths |
Number |
2 |
3 |
4 |
5 |
. |
6 |
7 |
8 |
Value |
2000 |
300 |
40 |
5 |
- |
0.6 |
0.07 |
0.008 |
Practice Questions:
Write 3.45 in words.
What is the place value of 6 in 4.67?
Convert 345/1000 into a decimal.
To compare decimal numbers, follow these steps:
Example: Compare 12.45 and 12.456
12 = 12 (same whole number)
Compare tenths: 4 = 4 (same)
Compare hundredths: 5 = 5 (same)
Compare thousandths: 0 < 6 → 12.45 < 12.456
Trick: Add zeros to make decimals the same length.
12.45 = 12.450
Practice Questions:
A fraction, decimal, and percentage are different ways to express the same value.
Fraction to Decimal: Numerator ÷ Denominator
Decimal to Percentage: Multiply by 100
Percentage to Decimal: Divide by 100
Example: Convert 3/4 to decimal and percentage
Decimal: 3 ÷ 4 = 0.75
Percentage: 0.75 × 100 = 75%
Practice Questions:
Convert 2/5 into a decimal.
Write 0.65 as a percentage.
Convert 32% into a decimal.
Steps:
1. Align decimal points before adding or subtracting.
2. Add zeros to equalize decimal places.
Example: 23.45 + 6.70
23.45 + 6.70 = 30.15
Practice Questions:
Add 4.56 + 7.4.
Subtract 9.8 - 4.65.
Solve 12.45 + 3.07 - 2.4.
Steps:
1. Multiply normally, ignoring the decimal.
2. Count total decimal places and adjust the decimal in the final answer.
Example: 4.2 × 3.5
Ignore decimal: 42 × 35 = 1470
Place decimal: 14.70
Practice Questions:
Multiply 3.2 × 4.5
Find 6.75 × 2
Solve 1.5 × 0.8
Steps:
1. Move the decimal point in the divisor to make it a whole number.
2. Move the decimal point in the dividend by the same places.
Example: 4.56 ÷ 0.3
Multiply both by 10: 45.6 ÷ 3
Answer: 15.2
Practice Questions:
Divide 8.4 ÷ 2.
Solve 6.75 ÷ 0.5.
Find 12.3 ÷ 3.
Concept |
Formula |
Decimal to Percentage |
Multiply by 100 |
Percentage to Decimal |
Divide by 100 |
Fraction to Decimal |
Divide numerator by denominator |
Percentage of a Number |
(Percent ÷ 100) × Number |