Question

The decimal 104.3 becomes 1,043 when multiplied by 10. The same number becomes 10.43 when multiplied by 0.10 explain why.

Answer 1

Answer :

Due to decimal moves  one step towards left side

Step-by-step explanation:

We are given that a decimal number 104.3 which becomes 1043 when multiplied by 10

We have to explain that a number 104.3 multiplied by 0.10 and becomes 10.43 why

When we multiplied 104.3 by 10

$104.3\times 10=\frac{1043}{10}\times 10=1043$

104.3 multiplied  by 0.10

$104.3\times 0.10=\frac{1043}{10}\times\frac{10}{100}$

=10.43

When we are multiplying 104.3 by 0.10 then the decimal moves one step towards left side due to denominator have 100 .

But in 104.3 multiplied by 10 then the number becomes 1043 because 104.3 have 10 in denominator when its decimal removes then 10 in denominator cancel 10 in multiply and then number becomes 1043.

This is the main reason.

Answer 2

when you multiply the number by ten you are multiplying it by a whole number and when you multiply it by "0.10" you are multiplying by a decimal which is the equivalent of division. If you don't understand this explanation just ask!