Question
Use the additive inverse to find 23.45−68.7
.(1 point)
Responses
−45.25
negative 45.25
92.15
92.15
45.25
45.25
−44.75
.(1 point)
Responses
−45.25
negative 45.25
92.15
92.15
45.25
45.25
−44.75
Answers
GPT-4o mini
To find \( 23.45 - 68.7 \) using the additive inverse, we can rewrite the subtraction as:
\[
23.45 + (-68.7)
\]
Now, we can add these two values together. The additive inverse of \( 68.7 \) is \( -68.7 \). So, we proceed as follows:
\[
23.45 + (-68.7) = 23.45 - 68.7
\]
To compute this, let's align the numbers and perform the subtraction step-by-step:
1. Subtract the whole numbers and the decimal parts:
\[
23.45 - 68.70
\]
2. When subtracting, since \( 68.7 \) is greater than \( 23.45 \), the result will be negative.
3. To make the calculation easier, we can subtract \( 68.7 \) from \( 23.45 \):
To perform the subtraction:
\[
23.45 - 68.70 = - (68.70 - 23.45)
\]
Calculating \( 68.70 - 23.45 \):
- Subtracting the whole numbers and the decimals separately:
- \( 68.70 - 23.45 = 68.70 - 23.45 = 45.25 \)
So, \( 23.45 - 68.7 = -45.25 \).
Therefore, the answer is:
\[
\text{−45.25}
\]
\[
23.45 + (-68.7)
\]
Now, we can add these two values together. The additive inverse of \( 68.7 \) is \( -68.7 \). So, we proceed as follows:
\[
23.45 + (-68.7) = 23.45 - 68.7
\]
To compute this, let's align the numbers and perform the subtraction step-by-step:
1. Subtract the whole numbers and the decimal parts:
\[
23.45 - 68.70
\]
2. When subtracting, since \( 68.7 \) is greater than \( 23.45 \), the result will be negative.
3. To make the calculation easier, we can subtract \( 68.7 \) from \( 23.45 \):
To perform the subtraction:
\[
23.45 - 68.70 = - (68.70 - 23.45)
\]
Calculating \( 68.70 - 23.45 \):
- Subtracting the whole numbers and the decimals separately:
- \( 68.70 - 23.45 = 68.70 - 23.45 = 45.25 \)
So, \( 23.45 - 68.7 = -45.25 \).
Therefore, the answer is:
\[
\text{−45.25}
\]