Question

a) 23.7 x 3.8
b) 45.76 x 0.25
c) 81.04 x 0.010
d) 6.47 x 64.5

Explanation:

Step1: Calculate 23.7 × 3.8

First convert to integers: $237 \times 38 = 9006$. Count decimal places: 1 + 1 = 2. Shift decimal left 2: $\frac{9006}{100} = 90.06$

Step2: Calculate 45.76 × 0.25

Note $0.25 = \frac{1}{4}$, so $45.76 \times \frac{1}{4} = 11.44$

Step3: Calculate 81.04 × 0.010

$0.010 = \frac{1}{100}$, so $81.04 \times \frac{1}{100} = 0.8104$

Step4: Calculate 6.47 × 64.5

Convert to integers: $647 \times 645 = 417315$. Count decimal places: 2 + 1 = 3. Shift decimal left 3: $\frac{417315}{1000} = 417.315$

Answer:

a) $90.06$
b) $11.44$
c) $0.8104$
d) $417.315$