Subjects arithmetic

Multiplying Decimals

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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. --- 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. --- 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.