Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

–m + 0.02 + 2.1m = –1.45 – 4.81m

0.01
0.1
10
100

Option D: The number 100 should be multiplied with each term to eliminate the decimals before solving.

Explanation:

The given equation is

We need to determine the number that should be multiplied with each term to eliminate the decimals before solving.

Let us consider the terms which is a decimal number and determine the number that should be multiplied with them to eliminate the decimal.

Thus, from the equation, we have, 0.02, 2.1, 1.45 and 4.81

The term 0.02 consists of 2 decimal places and hence the number 100 can be multiplied with them to eliminate the decimal places.

Thus, we have,

The term 2.1 consists of 1 decimal place and hence 10 can be multiplied.

Thus, we get,

Similarly, the terms 1.45 and 4.81 consists of 2 decimal places and hence the number 100 can be multiplied with them to eliminate the decimal places.

Thus, we get,

Hence, the maximum number that can be multiplied to eliminate the decimal places is 100.

Therefore, Option D is the correct answer.