Evaluate fraction numerator open vertical bar a minus 16 b close vertical bar over denominator open vertical bar a plus b close vertical bar end fraction when a = -10 and b = 3
The vertical bars indicate absolute value, regardless of sign.
16/7
Well, evaluating a fraction involves substituting the given values of a and b into the expression. Let's plug these values in and see what we get:
Numerator: |a - 16b| = |-10 - 16(3)| = |-10 - 48| = |-58| = 58 (since absolute value makes negative numbers positive)
Denominator: |a + b| = |-10 + 3| = |-7| = 7
So, the fraction is 58/7.
To evaluate the fraction, substitute the given values of a and b into the expression:
Numerator: |a - 16b|
Denominator: |a + b|
Let's calculate the numerator and denominator separately using the given values:
Numerator:
|a - 16b| = |-10 - 16(3)|
= |-10 - 48|
= |-58|
= 58
Denominator:
|a + b| = |-10 + 3|
= |-7|
= 7
Now that we have the numerator and denominator values, we can calculate the fraction:
Numerator / Denominator = 58 / 7
Therefore, when a = -10 and b = 3, the value of the fraction is 58/7.
To evaluate the given fraction when a = -10 and b = 3, substitute these values into the expression:
Numerator: |a - 16b|
Denominator: |a + b|
First, substitute the values for a and b into the numerator:
|(-10) - 16(3)| = |(-10) - 48| = |-10 - 48| = |-58| = 58
Next, substitute the values for a and b into the denominator:
|(-10) + 3| = |-7| = 7
Therefore, the fraction becomes:
58/7