Question

Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m 0. 02 02. 1m = –1. 45 – 4. 81m.

Answer 1

Each term of the equation be multiplied by the number 100 to eliminate the decimals before solving.

How to eliminate the decimal points?

The decimal points are used to separate the integer part to the fractional part of a number. It is represented by the dot symbol.

To eliminate the dot or the decimal point from a number, multiply the number by the power of 10.

For one digit after the decimal-

If the number contains 1 digit after the decimal point, then multiply it by 10 to remove the decimal point.

For example, 1.2. In this number the only one digit is there after the decimal point thus,

$n=1.2\times10\\n=12$

Thus the number of multiples are removed.

If the number contains 2,3,4... digit after the decimal point, then multiply it by 100,1000,10000,,,so on to remove the decimal point.

 

Given information-

The given equation in the problem is,

$-m+ 0. 02 +2. 1m = -1. 45 - 4. 81m.$

In the above equation, there is maximum 2 digits after the decimal point.

Thus multiply the equation by 100 to remove the decimal point as,

$100\times(-m)+ 100\times0. 02 +100\times2. 1m = 100\times(-1. 45) - 100\times4. 81m.\\-100m+2+210m=-145-481m$

Therefore each term of the equation be multiplied by the number 100 to eliminate the decimals before solving.

Learn more about the decimal point here;

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