Question

find $8 \times 0.3$.

$\

$$\begin{align*}8 \\times 0.3 &= 8 \\times (3 \\times 0.1) \\\\&= (8 \\times 3) \\times 0.1 \\\\&= 24 \\times 0.1 \\\\&= 2.4\\end{align*}$$

$

complete the sentence.

multiplying a number by 0.1 moves each digit one place to the?

Explanation:

Step1: Recall the effect of multiplying by 0.1

Multiplying a number by 0.1 is equivalent to dividing the number by 10. When we divide a number by 10, each digit in the number moves one place to the right (for example, 24 × 0.1 = 2.4, where the digit 2 moves from the tens place to the ones place and 4 moves from the ones place to the tenths place, effectively moving each digit one place to the right).

Step2: Determine the direction

Since multiplying by 0.1 is like dividing by 10, the digits move to the right.

Answer:

right