Answer:
Because we actually divide by 10 when a number is multiplied by 0.1.
Step-by-step explanation:
Let [tex]a[/tex] be a number.
When we multiply a number by 10:
[tex]a \times 10 = 10 a[/tex] (One '0' is increased in the number)
For example:
[tex]23 \times 10 = 230[/tex]
Considering a decimal number:
[tex]2.3 \times 10 = 23[/tex]
Multiplying a number with 0.1 (which is actually [tex]\frac{1}{10}[/tex]) means dividing the number by 10.
[tex]23\times 0.1 =23\times \frac{1}{10}=2.3[/tex]
Considering a decimal number:
[tex]2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23[/tex]
Therefore, When multiplying a number by 0.1, move the decimal to the left.
Answer:
Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.
Step-by-step explanation:
hope this helps
