Question

multiplying decimals by
directions: find each product.

1. 0.8 × 0.5 =
2. 0.7 × 0.9 =
3. 0.4 × 0.4 =
4. 1.0 × 0.02 =
5. 0.6 × 0.2 =
6. 0.3 × 0.7 =
7. 0.6 × 0.09 =
8. 0.3 × 0.2 =

Explanation:

1)

Step1: Multiply as integers

Multiply 8 and 5: \(8\times5 = 40\)

Step2: Count decimal places

0.8 has 1 decimal place, 0.5 has 1 decimal place. Total decimal places: \(1 + 1 = 2\)

Step3: Place decimal in product

From the right of 40, move 2 places: \(0.40\) (simplify to \(0.4\))

Step1: Multiply as integers

Multiply 7 and 9: \(7\times9 = 63\)

Step2: Count decimal places

0.7 has 1 decimal place, 0.9 has 1 decimal place. Total decimal places: \(1 + 1 = 2\)

Step3: Place decimal in product

From the right of 63, move 2 places: \(0.63\)

Step1: Multiply as integers

Multiply 4 and 4: \(4\times4 = 16\)

Step2: Count decimal places

0.4 has 1 decimal place, 0.4 has 1 decimal place. Total decimal places: \(1 + 1 = 2\)

Step3: Place decimal in product

From the right of 16, move 2 places: \(0.16\)

Answer:

\(0.4\)

2)