Multiplying Decimals
1. Problem: Multiply 0.09 × 0.2
Step 1: Ignore decimals and multiply 9 × 2 = 18
Step 2: Count decimal places: 0.09 has 2, 0.2 has 1, total 3
Step 3: Place decimal 3 places from right: 0.018
Final Answer: 0.018
Tip: Count all decimal places before placing the decimal point.
2. Problem: Multiply 2 × 0.03
Step 1: Multiply 2 × 3 = 6
Step 2: Count decimal places: 0.03 has 2
Step 3: Place decimal 2 places from right: 0.06
Final Answer: 0.06
Tip: Whole numbers can be multiplied as usual.
3. Problem: Multiply 0.07 × 4
Step 1: Multiply 7 × 4 = 28
Step 2: Count decimal places: 0.07 has 2
Step 3: Place decimal 2 places from right: 0.28
Final Answer: 0.28
Tip: Multiply ignoring decimals, then add decimal back.
4. Problem: Multiply 0.09 × 0.09
Step 1: Multiply 9 × 9 = 81
Step 2: Count decimal places: 2 + 2 = 4
Step 3: Place decimal 4 places from right: 0.0081
Final Answer: 0.0081
Tip: More decimal places mean smaller product.
5. Problem: Multiply 6 × 0.03
Step 1: Multiply 6 × 3 = 18
Step 2: Count decimal places: 2
Step 3: Place decimal 2 places from right: 0.18
Final Answer: 0.18
Tip: Multiplying by decimals less than 1 makes product smaller.
6. Problem: Multiply 0.08 × 4
Step 1: Multiply 8 × 4 = 32
Step 2: Count decimal places: 2
Step 3: Place decimal 2 places from right: 0.32
Final Answer: 0.32
Tip: Treat decimals as whole numbers first.
7. Problem: Multiply 0.03 × 0.08
Step 1: Multiply 3 × 8 = 24
Step 2: Count decimal places: 2 + 2 = 4
Step 3: Place decimal 4 places from right: 0.0024
Final Answer: 0.0024
Tip: More decimal places mean product is very small.
8. Problem: Multiply 0.8 × 0.09
Step 1: Multiply 8 × 9 = 72
Step 2: Count decimal places: 1 + 2 = 3
Step 3: Place decimal 3 places from right: 0.072
Final Answer: 0.072
Tip: Always add decimal places from both numbers.
9. Problem: Multiply 0.2 × 0.05
Step 1: Multiply 2 × 5 = 10
Step 2: Count decimal places: 1 + 2 = 3
Step 3: Place decimal 3 places from right: 0.010
Final Answer: 0.01
Tip: Trailing zeros after decimal can be dropped.
10. Problem: Multiply 2.4 × 8
Step 1: Multiply 24 × 8 = 192
Step 2: Count decimal places: 1
Step 3: Place decimal 1 place from right: 19.2
Final Answer: 19.2
Tip: Multiply as whole numbers then adjust decimal.
11. Problem: Multiply 7 × 2.3
Step 1: Multiply 7 × 23 = 161
Step 2: Count decimal places: 1
Step 3: Place decimal 1 place from right: 16.1
Final Answer: 16.1
Tip: Whole number times decimal works same way.
12. Problem: Multiply 0.04 × 0.01
Step 1: Multiply 4 × 1 = 4
Step 2: Count decimal places: 2 + 2 = 4
Step 3: Place decimal 4 places from right: 0.0004
Final Answer: 0.0004
Tip: Small decimals multiply to even smaller numbers.
13. Problem: Multiply 0.9 × 0.1
Step 1: Multiply 9 × 1 = 9
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.09
Final Answer: 0.09
Tip: Multiplying decimals less than 1 reduces size.
14. Problem: Multiply 0.3 × 0.7
Step 1: Multiply 3 × 7 = 21
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.21
Final Answer: 0.21
Tip: Multiply as whole numbers then add decimals.
15. Problem: Multiply 0.05 × 8
Step 1: Multiply 5 × 8 = 40
Step 2: Count decimal places: 2
Step 3: Place decimal 2 places from right: 0.40
Final Answer: 0.4
Tip: Trailing zeros after decimal can be dropped.
16. Problem: Multiply 0.5 × 0.04
Step 1: Multiply 5 × 4 = 20
Step 2: Count decimal places: 1 + 2 = 3
Step 3: Place decimal 3 places from right: 0.020
Final Answer: 0.02
Tip: Count all decimal places carefully.
17. Problem: Multiply 0.5 × 0.6
Step 1: Multiply 5 × 6 = 30
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.30
Final Answer: 0.3
Tip: Multiplying decimals less than 1 gives smaller product.
18. Problem: Multiply 5 × 0.2
Step 1: Multiply 5 × 2 = 10
Step 2: Count decimal places: 1
Step 3: Place decimal 1 place from right: 1.0
Final Answer: 1
Tip: Whole number times decimal is straightforward.
19. Problem: Multiply 0.8 × 0.8
Step 1: Multiply 8 × 8 = 64
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.64
Final Answer: 0.64
Tip: Multiplying decimals less than 1 reduces product.
20. Problem: Multiply 1.0 × 2
Step 1: Multiply 10 × 2 = 20
Step 2: Count decimal places: 1
Step 3: Place decimal 1 place from right: 2.0
Final Answer: 2
Tip: Multiplying by 1 keeps the number same.
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Second set:
1. Problem: Multiply 0.8 × 0.09
Step 1: Multiply 8 × 9 = 72
Step 2: Count decimal places: 1 + 2 = 3
Step 3: Place decimal 3 places from right: 0.072
Final Answer: 0.072
Tip: Count decimal places carefully.
2. Problem: Multiply 0.3 × 0.4
Step 1: Multiply 3 × 4 = 12
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.12
Final Answer: 0.12
Tip: Multiply as whole numbers then add decimals.
3. Problem: Multiply 0.2 × 0.10
Step 1: Multiply 2 × 10 = 20
Step 2: Count decimal places: 1 + 2 = 3
Step 3: Place decimal 3 places from right: 0.020
Final Answer: 0.02
Tip: Trailing zeros can be dropped.
4. Problem: Multiply 0.4 × 0.8
Step 1: Multiply 4 × 8 = 32
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.32
Final Answer: 0.32
Tip: Multiply ignoring decimals first.
5. Problem: Multiply 4 × 0.03
Step 1: Multiply 4 × 3 = 12
Step 2: Count decimal places: 2
Step 3: Place decimal 2 places from right: 0.12
Final Answer: 0.12
Tip: Whole number times decimal is simple.
6. Problem: Multiply 5 × 0.09
Step 1: Multiply 5 × 9 = 45
Step 2: Count decimal places: 2
Step 3: Place decimal 2 places from right: 0.45
Final Answer: 0.45
Tip: Multiply as whole numbers then add decimals.
7. Problem: Multiply 0.07 × 0.4
Step 1: Multiply 7 × 4 = 28
Step 2: Count decimal places: 2 + 1 = 3
Step 3: Place decimal 3 places from right: 0.028
Final Answer: 0.028
Tip: Count decimal places from both numbers.
8. Problem: Multiply 0.6 × 0.2
Step 1: Multiply 6 × 2 = 12
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.12
Final Answer: 0.12
Tip: Multiply ignoring decimals first.
9. Problem: Multiply 0.2 × 0.2
Step 1: Multiply 2 × 2 = 4
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.04
Final Answer: 0.04
Tip: Multiplying decimals less than 1 reduces product.
10. Problem: Multiply 6 × 0.3
Step 1: Multiply 6 × 3 = 18
Step 2: Count decimal places: 1
Step 3: Place decimal 1 place from right: 1.8
Final Answer: 1.8
Tip: Whole number times decimal is straightforward.
11. Problem: Multiply 0.07 × 0.8
Step 1: Multiply 7 × 8 = 56
Step 2: Count decimal places: 2 + 1 = 3
Step 3: Place decimal 3 places from right: 0.056
Final Answer: 0.056
Tip: Count decimal places carefully.
12. Problem: Multiply 9 × 0.02
Step 1: Multiply 9 × 2 = 18
Step 2: Count decimal places: 2
Step 3: Place decimal 2 places from right: 0.18
Final Answer: 0.18
Tip: Whole number times decimal is simple.
13. Problem: Multiply 1.0 × 0.07
Step 1: Multiply 10 × 7 = 70
Step 2: Count decimal places: 1 + 2 = 3
Step 3: Place decimal 3 places from right: 0.070
Final Answer: 0.07
Tip: Multiplying by 1 keeps number same.
14. Problem: Multiply 0.1 × 0.5
Step 1: Multiply 1 × 5 = 5
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.05
Final Answer: 0.05
Tip: Multiply as whole numbers then add decimals.
15. Problem: Multiply 0.6 × 0.07
Step 1: Multiply 6 × 7 = 42
Step 2: Count decimal places: 1 + 2 = 3
Step 3: Place decimal 3 places from right: 0.042
Final Answer: 0.042
Tip: Count decimal places carefully.
16. Problem: Multiply 0.4 × 0.5
Step 1: Multiply 4 × 5 = 20
Step 2: Count decimal places: 1 + 1 = 2
Step 3: Place decimal 2 places from right: 0.20
Final Answer: 0.2
Tip: Trailing zeros can be dropped.
17. Problem: Multiply 0.8 × 0.03
Step 1: Multiply 8 × 3 = 24
Step 2: Count decimal places: 1 + 2 = 3
Step 3: Place decimal 3 places from right: 0.024
Final Answer: 0.024
Tip: Multiply ignoring decimals first.
18. Problem: Multiply 0.02 × 0.3
Step 1: Multiply 2 × 3 = 6
Step 2: Count decimal places: 2 + 1 = 3
Step 3: Place decimal 3 places from right: 0.006
Final Answer: 0.006
Tip: More decimal places mean smaller product.
19. Problem: Multiply 0.2 × 7
Step 1: Multiply 2 × 7 = 14
Step 2: Count decimal places: 1
Step 3: Place decimal 1 place from right: 1.4
Final Answer: 1.4
Tip: Whole number times decimal is simple.
20. Problem: Multiply 0.09 × 4
Step 1: Multiply 9 × 4 = 36
Step 2: Count decimal places: 2
Step 3: Place decimal 2 places from right: 0.36
Final Answer: 0.36
Tip: Multiply as whole numbers then add decimals.
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Remember Box:
- Multiply numbers ignoring decimals.
- Count total decimal places in both numbers.
- Place decimal point in product counting from right.
- Trailing zeros after decimal can be dropped.
- Multiplying decimals less than 1 makes product smaller.
- Whole numbers multiply as usual.