Question

1. \\(3.2 \times 0.41 =\\)\
2. \\(2 \times 0.4 =\\)\
3. \\(0.003 \times 4 =\\)\
4. \\(1.1 \times 7 =\\)\
5. \\(4.302 \times 12.05 =\\)\
6. \\(3.20 \times 0.00125 =\\)\
7. \\(0.001 \times 0.10 =\\)

Explanation:

Step1: Multiply as whole numbers

$32 \times 41 = 1312$

Step2: Count decimal places

3.2 has 1 decimal place, 0.41 has 2, total 3. Shift decimal left 3 places: $\frac{1312}{1000}=1.312$

Step1: Multiply whole numbers

$2 \times 4 = 8$

Step2: Count decimal places

0.4 has 1 decimal place. Shift decimal left 1 place: $\frac{8}{10}=0.8$

Step1: Multiply whole numbers

$3 \times 4 = 12$

Step2: Count decimal places

0.003 has 3 decimal places. Shift decimal left 3 places: $\frac{12}{1000}=0.012$

Step1: Multiply whole numbers

$11 \times 7 = 77$

Step2: Count decimal places

1.1 has 1 decimal place. Shift decimal left 1 place: $\frac{77}{10}=7.7$

Step1: Multiply as whole numbers

$4302 \times 1205 = 5183910$

Step2: Count decimal places

4.302 has 3, 12.05 has 2, total 5. Shift decimal left 5 places: $\frac{5183910}{100000}=51.8391$

Step1: Multiply as whole numbers

$320 \times 125 = 40000$

Step2: Count decimal places

3.20 has 2, 0.00125 has 5, total 7. Shift decimal left 7 places: $\frac{40000}{10000000}=0.004$

Step1: Multiply whole numbers

$1 \times 10 = 10$

Step2: Count decimal places

0.001 has 3, 0.10 has 2, total 5. Shift decimal left 5 places: $\frac{10}{100000}=0.00001$

Answer:

1. $1.312$
2. $0.8$
3. $0.012$
4. $7.7$
5. $51.8391$
6. $0.004$
7. $0.00001$