Question

multiply: (a) 0.08 × 0.2 = \square (b) 0.7 × 0.9 = \square

Explanation:

Part (a)

Step1: Multiply the numbers without decimals

First, we multiply \(8\) and \(2\) (ignoring the decimal points for now). So, \(8\times2 = 16\).

Step2: Count the total number of decimal places

The number \(0.08\) has two decimal places, and \(0.2\) has one decimal place. So, the total number of decimal places is \(2 + 1=3\).

Step3: Place the decimal in the product

We take the product \(16\) and place the decimal point such that there are \(3\) decimal places. So, \(0.08\times0.2 = 0.016\).

Part (b)

Step1: Multiply the numbers without decimals

First, we multiply \(7\) and \(9\) (ignoring the decimal points for now). So, \(7\times9 = 63\).

Step2: Count the total number of decimal places

The number \(0.7\) has one decimal place, and \(0.9\) has one decimal place. So, the total number of decimal places is \(1+ 1 = 2\).

Step3: Place the decimal in the product

We take the product \(63\) and place the decimal point such that there are \(2\) decimal places. So, \(0.7\times0.9=0.63\).

Answer:

(a) \(0.016\)
(b) \(0.63\)