Question

(0.34)·(0.02)
120·(0.002)

Explanation:

Part b: \((0.34) \cdot (0.02)\)

Step 1: Multiply the numbers without decimals

First, we multiply \(34\) and \(2\) (ignoring the decimal points for now). So, \(34\times2 = 68\).

Step 2: Count the total number of decimal places

The number \(0.34\) has 2 decimal places, and \(0.02\) has 2 decimal places. So, the total number of decimal places is \(2 + 2=4\).

Step 3: Place the decimal in the product

We take the product \(68\) and place the decimal point such that there are 4 decimal places. So, we get \(0.0068\) (we add leading zeros to make up the 4 decimal places: \(0.0068\)).

Part c: \(120 \cdot (0.002)\)

Step 1: Multiply the numbers without decimals

First, we multiply \(120\) and \(2\) (ignoring the decimal point in \(0.002\) for now). So, \(120\times2 = 240\).

Step 2: Count the number of decimal places

The number \(0.002\) has 3 decimal places.

Step 3: Place the decimal in the product

We take the product \(240\) and place the decimal point such that there are 3 decimal places. So, we get \(0.240\) which simplifies to \(0.24\) (or we can think of it as \(120\times0.002=\frac{120\times2}{1000}=\frac{240}{1000} = 0.24\)).

Answer:

s:

• For part b: \(\boldsymbol{0.0068}\)
• For part c: \(\boldsymbol{0.24}\)