Grade 7 Decimal Operations worksheet
from Gradelings · Name: ______________________
How to explain it
- To add or subtract, line up the decimal points.
- Fill empty places with zeros so the numbers match.
- Then add or subtract like whole numbers.
Example: 3.45 + 2.8 = ? Write 2.8 as 2.80 and line up the points. 3.45 + 2.80 = 6.25. Answer: 6.25
Question 1
What is 3.6 ÷ 0.3?
3.6 ÷ 0.3 = ?
answer box
12
Hint: Multiply both numbers by 10 so you divide by a whole number: 36 ÷ 3 = 12.
Question 2
Which is the best estimate for 89.7 × 9.1?
- 810
- 8100
- 81
- 99
810
Hint: Round each number to a friendly one: 89.7 ≈ 90 and 9.1 ≈ 9. Then 90 × 9 = 810.
Question 3
What is 6.9 × 0.3?
6.9 × 0.3 = ?
- 20.7
- 0.207
- 0.0207
- 2.07
2.07
Hint: Multiply as if there were no decimal points: 69 × 3 = 207. The factors have 2 decimal places in total, so the product does too: 2.07.
Question 4
Use the order of operations: what is 7.4 × 3 − 4.5?
7.4 × 3 − 4.5
- 17.6
- 17.7
- 26.7
- 17.8
17.7
Hint: Multiply before subtracting: 7.4 × 3 = 22.2. Then 22.2 − 4.5 = 17.7.
Question 5
Apples cost $4.40 per kilogram. How much do 2.4 kg of apples cost, in dollars?
answer box
10.56
Hint: Multiply the price by the mass: 4.4 × 2.4. Without decimals that's 44 × 24 = 1056; there are 2 decimal places in total, so the cost is $10.56.
Question 6
Put these decimals in order from least to greatest.
- 0.96
- 0.69
- 0.609
- 0.6
- 0.06
0.06 → 0.6 → 0.609 → 0.69 → 0.96
Hint: Compare tenths first, then hundredths, then thousandths. Writing them with the same number of places helps: 0.060, 0.600, 0.609, 0.690, 0.960.
Question 7
What is 4.22 + 10.6?
4.22 + 10.6 = ?
answer box
14.82
Hint: Line up the decimal points and give every number two decimal places: 4.22 + 10.60. Add column by column: 14.82.
Question 8
What is 13.6 − 4.72?
13.6 − 4.72 = ?
answer box
8.88
Hint: Line up the decimal points and fill in zeros so both numbers have the same places: 13.60 − 4.72. Subtract, regrouping where you need to: 8.88.
Question 9
Which is the best estimate for 4.4 × 6.2?
- 2.4
- 24
- 240
- 10
24
Hint: Round each number to a friendly one: 4.4 ≈ 4 and 6.2 ≈ 6. Then 4 × 6 = 24.
Question 10
What is 9.5 − 1.4?
9.5 − 1.4 = ?
answer box
8.1
Hint: Line up the decimal points and fill in zeros so both numbers have the same places: 9.50 − 1.40. Subtract, regrouping where you need to: 8.1.
Answer key
- 1. 12
- 2. 810
- 3. 2.07
- 4. 17.7
- 5. 10.56
- 6. 0.06 → 0.6 → 0.609 → 0.69 → 0.96
- 7. 14.82
- 8. 8.88
- 9. 24
- 10. 8.1
Want more than 10 questions?
In Gradelings the questions change every time and adjust to your child, with hints and kind feedback.