Decimals Worksheet – Class 6
Instructions:
- Solve all the questions carefully.
- Write your answers in the space provided.
- Show all steps for calculations.
Section A: Place Value & Reading Decimals (Easy)
- Write the place value of 7 in 45.73.
- Read the number 82.406 in words.
- Write the decimal 0.9 as a fraction.
- Identify the digit in the hundredths place in 12.856.
- Write 3.07 in expanded form.
Section B: Addition & Subtraction of Decimals
- 12.5 + 3.75 = ______
- 45.62 – 12.48 = ______
- 6.7 + 4.56 = ______
- 23.84 – 9.37 = ______
- 7.05 + 2.9 = ______
Section C: Multiplication & Division of Decimals
- 4.5 × 3 = ______
- 6.2 × 1.5 = ______
- 12 ÷ 0.4 = ______
- 7.5 ÷ 0.5 = ______
- 3.6 × 0.2 = ______
Section D: Word Problems (Medium)
- A pencil costs $1.25. How much do 8 pencils cost?
- Rani ran 3.5 km on Monday and 4.2 km on Tuesday. How far did she run in total?
- A bottle contains 2.75 liters of juice. If 1.3 liters are used, how much juice remains?
- A piece of cloth is 12.5 m long. If 4.75 m is cut, what is the remaining length?
- A car travels 45.6 km in one hour. How far will it travel in 3 hours?
Section E: Converting Decimals (Medium-Hard)
- Convert 0.75 into a fraction.
- Convert 3.2 into a mixed fraction.
- Convert 7/10 into decimal.
- Convert 11/20 into decimal.
- Write 0.625 as a fraction in simplest form.
Section F: Comparing & Ordering Decimals (Hard)
- Arrange in ascending order: 3.45, 3.5, 3.405, 3.4
- Which is greater: 7.08 or 7.008?
- Place >, <, or = between: 5.67 ___ 5.607
- Round 12.678 to the nearest tenth.
- Round 9.345 to the nearest hundredth.
✅ Answer Key (Teacher Use)
Section A: 1. 0.07 2. Eighty-two and four hundred six thousandths 3. 9/10 4. 5 5. 3 + 0.07
Section B: 1. 16.25 2. 33.14 3. 11.26 4. 14.47 5. 9.95
Section C: 1. 13.5 2. 9.3 3. 30 4. 15 5. 0.72
Section D: 1. $10 2. 7.7 km 3. 1.45 liters 4. 7.75 m 5. 136.8 km
Section E: 1. 3/4 2. 3 1/5 3. 0.7 4. 0.55 5. 5/8
Section F: 1. 3.4, 3.405, 3.45, 3.5 2. 7.08 3. 5.67 > 5.607 4. 12.7 5. 9.35