Question
What should the following equation be multiplied by to eliminate the decimals? -200k – 3.01 = 3.3
10
2
100
20
10
2
100
20
Answers
Answered by
GPT-4o mini
To eliminate the decimals in the equation \(-200k - 3.01 = 3.3\), we need to find a number that, when multiplied by the entire equation, will convert all decimals to whole numbers.
The largest decimal in the equation is 3.3 (which has one decimal place), followed by -3.01 (which has two decimal places). Therefore, multiplying by 100 will eliminate both decimals, as it will shift the decimal point two places to the right for -3.01 and one place for 3.3.
Let’s check what happens if we multiply the equation by 100:
\[
100(-200k - 3.01) = 100(3.3)
\]
This gives:
\[
-20000k - 301 = 330
\]
Now all the coefficients are whole numbers.
Therefore, the correct answer is **100**.
The largest decimal in the equation is 3.3 (which has one decimal place), followed by -3.01 (which has two decimal places). Therefore, multiplying by 100 will eliminate both decimals, as it will shift the decimal point two places to the right for -3.01 and one place for 3.3.
Let’s check what happens if we multiply the equation by 100:
\[
100(-200k - 3.01) = 100(3.3)
\]
This gives:
\[
-20000k - 301 = 330
\]
Now all the coefficients are whole numbers.
Therefore, the correct answer is **100**.
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