Dividing Decimals by Whole Numbers Textbook Exercise - Corbettmaths - Free Printable

Absolutely! Let’s solve Question 1 and Question 2 step by step. The task is to divide decimals by whole numbers — a fundamental skill in arithmetic.

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## 🧮 General Strategy:
When dividing a decimal by a whole number:
1. Ignore the decimal point initially — treat it like a regular division.
2. Place the decimal point in the quotient directly above where it is in the dividend.
3. If needed, add zeros to the dividend to continue dividing (especially for remainders).
4. Use long division or mental math if the numbers are simple.

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# ✔ Question 1: Work out

(a) 4.6 ÷ 2

→ 4 ÷ 2 = 2, 0.6 ÷ 2 = 0.3 → 2.3

(b) 6.5 ÷ 5

→ 6 ÷ 5 = 1.2, but better: 6.5 ÷ 5 = 1.3 (since 5 × 1.3 = 6.5) → 1.3

(c) 9.6 ÷ 3

→ 9 ÷ 3 = 3, 0.6 ÷ 3 = 0.2 → 3.2

(d) 8.4 ÷ 4

→ 8 ÷ 4 = 2, 0.4 ÷ 4 = 0.1 → 2.1

(e) 7.2 ÷ 3

→ 7 ÷ 3 = 2 with remainder 1 → 1.2 ÷ 3 = 0.4 → total 2.4

(f) 6.8 ÷ 4

→ 6 ÷ 4 = 1.5, 0.8 ÷ 4 = 0.2 → 1.7

(g) 18.5 ÷ 5

→ 18 ÷ 5 = 3.6, 0.5 ÷ 5 = 0.1 → 3.7

(h) 9.6 ÷ 8

→ 9 ÷ 8 = 1.125? Wait — simpler: 8 × 1.2 = 9.6 → 1.2

(i) 14.4 ÷ 6

→ 14 ÷ 6 = 2.333... but 6 × 2.4 = 14.4 → 2.4

(j) 27.9 ÷ 9

→ 27 ÷ 9 = 3, 0.9 ÷ 9 = 0.1 → 3.1

(k) 9.1 ÷ 7

→ 7 × 1.3 = 9.1 → 1.3

(l) 36.5 ÷ 5

→ 35 ÷ 5 = 7, 1.5 ÷ 5 = 0.3 → 7.3

(m) 33.2 ÷ 4

→ 32 ÷ 4 = 8, 1.2 ÷ 4 = 0.3 → 8.3

(n) 19.2 ÷ 3

→ 18 ÷ 3 = 6, 1.2 ÷ 3 = 0.4 → 6.4

(o) 27.6 ÷ 6

→ 24 ÷ 6 = 4, 3.6 ÷ 6 = 0.6 → 4.6

(p) 42.4 ÷ 8

→ 40 ÷ 8 = 5, 2.4 ÷ 8 = 0.3 → 5.3

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✔ Question 1 Answers:

| Part | Answer |
|------|--------|
| (a) | 2.3 |
| (b) | 1.3 |
| (c) | 3.2 |
| (d) | 2.1 |
| (e) | 2.4 |
| (f) | 1.7 |
| (g) | 3.7 |
| (h) | 1.2 |
| (i) | 2.4 |
| (j) | 3.1 |
| (k) | 1.3 |
| (l) | 7.3 |
| (m) | 8.3 |
| (n) | 6.4 |
| (o) | 4.6 |
| (p) | 5.3 |

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# ✔ Question 2: Work out

These involve more decimal places — same method applies!

(a) 3.96 ÷ 3

→ 3 ÷ 3 = 1, 0.96 ÷ 3 = 0.32 → 1.32

(b) 0.75 ÷ 5

→ 0.75 ÷ 5 = 0.15 (since 5 × 0.15 = 0.75) → 0.15

(c) 8.56 ÷ 4

→ 8 ÷ 4 = 2, 0.56 ÷ 4 = 0.14 → 2.14

(d) 0.528 ÷ 6

→ 0.528 ÷ 6: 6 into 528 thousandths → 528 ÷ 6 = 88 → so 0.088

(e) 5.81 ÷ 7

→ 7 × 0.83 = 5.81 → 0.83

(f) 0.657 ÷ 9

→ 657 ÷ 9 = 73 → so 0.657 ÷ 9 = 0.073

(g) 2.176 ÷ 8

→ 2176 ÷ 8 = 272 → so 2.176 ÷ 8 = 0.272

(h) 0.238 ÷ 7

→ 238 ÷ 7 = 34 → so 0.238 ÷ 7 = 0.034

(i) 0.119 ÷ 7

→ 119 ÷ 7 = 17 → so 0.119 ÷ 7 = 0.017

(j) 0.072 ÷ 6

→ 72 ÷ 6 = 12 → so 0.072 ÷ 6 = 0.012

(k) 2.556 ÷ 3

→ 2.556 ÷ 3: 2556 ÷ 3 = 852 → so 0.852

(l) 3.325 ÷ 5

→ 3.325 ÷ 5: 3325 ÷ 5 = 665 → so 0.665

(m) 701.2 ÷ 4

→ 700 ÷ 4 = 175, 1.2 ÷ 4 = 0.3 → 175.3

(n) 9.927 ÷ 9

→ 9 ÷ 9 = 1, 0.927 ÷ 9 = 0.103 → 1.103

(o) 12.065 ÷ 5

→ 12 ÷ 5 = 2.4, 0.065 ÷ 5 = 0.013 → 2.413

(p) 0.16024 ÷ 4

→ 16024 ÷ 4 = 4006 → so 0.16024 ÷ 4 = 0.04006

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✔ Question 2 Answers:

| Part | Answer |
|------|----------|
| (a) | 1.32 |
| (b) | 0.15 |
| (c) | 2.14 |
| (d) | 0.088 |
| (e) | 0.83 |
| (f) | 0.073 |
| (g) | 0.272 |
| (h) | 0.034 |
| (i) | 0.017 |
| (j) | 0.012 |
| (k) | 0.852 |
| (l) | 0.665 |
| (m) | 175.3 |
| (n) | 1.103 |
| (o) | 2.413 |
| (p) | 0.04006 |

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## 🎯 Final Tips:

- Always align the decimal point in your answer with the dividend.
- You can check your answers by multiplying the quotient by the divisor — you should get back the original dividend.
- For tricky ones (like (d), (f), etc.), think of the decimal as a fraction (e.g., 0.528 = 528/1000) and divide numerator by divisor.

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Let me know if you’d like a video explanation or step-by-step long division breakdowns for any specific problem! 😊