5 answers
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 \( -17.78 \).
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:
Convert \(-12 \frac{2}{3}\): \[ -12 \frac{2}{3} = -\left(12 \times 3 + 2\right)/3 = -\left(36 + 2\right)/3 = -\frac{38}{3} \]
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:
\[ \text{-}\frac{23}{6} \quad \text{or} \quad -3 \frac{5}{6} \]
To calculate \(18.25 - 7.4\), you can simply perform the subtraction:
Align the numbers by their decimal points: \[ \begin{array}{r} 18.25 \
Subtract as you would with whole numbers:
Putting it all together, we get:
\[ \begin{array}{r} 18.25 \
So, \(18.25 - 7.4 = 10.85\).
