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use the additive inverse to find 8.76 - 26.54. (1 points)Asked by help
Use the additive inverse to find 8.76-26.54 (1 point)
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Answered by
GPT-4o mini
To use the additive inverse to find \( 8.76 - 26.54 \), you can rewrite the subtraction as the addition of the additive inverse. The additive inverse of \( 26.54 \) is \( -26.54 \).
So, you can express the operation as:
\[
8.76 - 26.54 = 8.76 + (-26.54)
\]
Now, you can perform the addition:
\[
8.76 + (-26.54) = 8.76 - 26.54
\]
Now let's calculate that:
\[
8.76 + (-26.54) = 8.76 - 26.54 = -17.78
\]
Thus, the result of \( 8.76 - 26.54 \) is \( -17.78 \).
So, you can express the operation as:
\[
8.76 - 26.54 = 8.76 + (-26.54)
\]
Now, you can perform the addition:
\[
8.76 + (-26.54) = 8.76 - 26.54
\]
Now let's calculate that:
\[
8.76 + (-26.54) = 8.76 - 26.54 = -17.78
\]
Thus, the result of \( 8.76 - 26.54 \) is \( -17.78 \).
Answered by
GPT-4o mini
To compute \(-12 \frac{2}{3} - (-8 \frac{5}{6})\), we can first rewrite the expression to remove the double negative:
\[
-12 \frac{2}{3} + 8 \frac{5}{6}
\]
Next, let's convert the mixed numbers into improper fractions:
1. Convert \(-12 \frac{2}{3}\):
\[
-12 \frac{2}{3} = -\left(12 \times 3 + 2\right)/3 = -\left(36 + 2\right)/3 = -\frac{38}{3}
\]
2. Convert \(8 \frac{5}{6}\):
\[
8 \frac{5}{6} = \left(8 \times 6 + 5\right)/6 = \left(48 + 5\right)/6 = \frac{53}{6}
\]
Now we have:
\[
-\frac{38}{3} + \frac{53}{6}
\]
To add these fractions, we need a common denominator. The least common multiple of 3 and 6 is 6. So we can convert \(-\frac{38}{3}\) to a fraction with a denominator of 6:
\[
-\frac{38}{3} = -\frac{38 \times 2}{3 \times 2} = -\frac{76}{6}
\]
Now we can add:
\[
-\frac{76}{6} + \frac{53}{6} = \frac{-76 + 53}{6} = \frac{-23}{6}
\]
So, the final result is:
\[
-12 \frac{2}{3} - (-8 \frac{5}{6}) = -\frac{23}{6}
\]
If you'd like to express \(-\frac{23}{6}\) as a mixed number, it would be:
\[
-3 \frac{5}{6}
\]
Thus, the final answer can be written in either improper fraction or mixed number form:
\[
\text{-}\frac{23}{6} \quad \text{or} \quad -3 \frac{5}{6}
\]
\[
-12 \frac{2}{3} + 8 \frac{5}{6}
\]
Next, let's convert the mixed numbers into improper fractions:
1. Convert \(-12 \frac{2}{3}\):
\[
-12 \frac{2}{3} = -\left(12 \times 3 + 2\right)/3 = -\left(36 + 2\right)/3 = -\frac{38}{3}
\]
2. Convert \(8 \frac{5}{6}\):
\[
8 \frac{5}{6} = \left(8 \times 6 + 5\right)/6 = \left(48 + 5\right)/6 = \frac{53}{6}
\]
Now we have:
\[
-\frac{38}{3} + \frac{53}{6}
\]
To add these fractions, we need a common denominator. The least common multiple of 3 and 6 is 6. So we can convert \(-\frac{38}{3}\) to a fraction with a denominator of 6:
\[
-\frac{38}{3} = -\frac{38 \times 2}{3 \times 2} = -\frac{76}{6}
\]
Now we can add:
\[
-\frac{76}{6} + \frac{53}{6} = \frac{-76 + 53}{6} = \frac{-23}{6}
\]
So, the final result is:
\[
-12 \frac{2}{3} - (-8 \frac{5}{6}) = -\frac{23}{6}
\]
If you'd like to express \(-\frac{23}{6}\) as a mixed number, it would be:
\[
-3 \frac{5}{6}
\]
Thus, the final answer can be written in either improper fraction or mixed number form:
\[
\text{-}\frac{23}{6} \quad \text{or} \quad -3 \frac{5}{6}
\]
Answered by
GPT-4o mini
To calculate \(18.25 - 7.4\), you can simply perform the subtraction:
1. Align the numbers by their decimal points:
\[
\begin{array}{r}
18.25 \\
- 7.40 \\
\hline
\end{array}
\]
2. Subtract as you would with whole numbers:
- Starting from the right:
- \(5 - 0 = 5\)
- \(2 - 4\) cannot be done, so we need to borrow. Borrow 1 from the 8, making it 7, and the 2 becomes 12. Thus:
- \(12 - 4 = 8\)
- Now subtract the whole numbers: \(7 - 7 = 0\)
- Lastly, the leftmost number: \(1 - 0 = 1\)
Putting it all together, we get:
\[
\begin{array}{r}
18.25 \\
- 7.40 \\
\hline
10.85 \\
\end{array}
\]
So, \(18.25 - 7.4 = 10.85\).
1. Align the numbers by their decimal points:
\[
\begin{array}{r}
18.25 \\
- 7.40 \\
\hline
\end{array}
\]
2. Subtract as you would with whole numbers:
- Starting from the right:
- \(5 - 0 = 5\)
- \(2 - 4\) cannot be done, so we need to borrow. Borrow 1 from the 8, making it 7, and the 2 becomes 12. Thus:
- \(12 - 4 = 8\)
- Now subtract the whole numbers: \(7 - 7 = 0\)
- Lastly, the leftmost number: \(1 - 0 = 1\)
Putting it all together, we get:
\[
\begin{array}{r}
18.25 \\
- 7.40 \\
\hline
10.85 \\
\end{array}
\]
So, \(18.25 - 7.4 = 10.85\).
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