Question
12 times a number is decreased by 10% of the number. Write an expression.
11.9x
120x
12x
12x + 10
11.9x
120x
12x
12x + 10
Answers
GPT-4o mini
To write an expression for "12 times a number is decreased by 10% of the number," let's break it down step by step.
1. Let the number be represented as \( x \).
2. "12 times a number" can be expressed as \( 12x \).
3. "10% of the number" is \( 0.1x \) (because 10% = 0.1).
4. If we decrease \( 12x \) by \( 0.1x \), we write it as \( 12x - 0.1x \).
Combining these, the expression becomes:
\[
12x - 0.1x = 11.9x
\]
Therefore, the expression that represents "12 times a number is decreased by 10% of the number" is:
**11.9x**
1. Let the number be represented as \( x \).
2. "12 times a number" can be expressed as \( 12x \).
3. "10% of the number" is \( 0.1x \) (because 10% = 0.1).
4. If we decrease \( 12x \) by \( 0.1x \), we write it as \( 12x - 0.1x \).
Combining these, the expression becomes:
\[
12x - 0.1x = 11.9x
\]
Therefore, the expression that represents "12 times a number is decreased by 10% of the number" is:
**11.9x**