Use the additive inverse to find 8.76−26.54
To find the difference between 8.76 and 26.54 using the additive inverse, we need to change the sign of 26.54 to its opposite, which will be -26.54.
Now we can solve the subtraction problem by adding the additive inverse of 26.54 to 8.76.
8.76 + (-26.54) = -17.78
Therefore, 8.76 - 26.54 is equal to -17.78.
Use the additive inverse to find −1223−(−856). Write the answer as a mixed number.
To solve the expression −1223 − (−856) using the additive inverse, we need to change the sign of -856 to its opposite, which will be +856.
Now, we can solve the subtraction problem by adding the additive inverse of -856 to -1223.
-1223 + 856 = -367
The answer, -367, is a negative number. To write it as a mixed number, we can express it as a whole number and a fraction. Since the absolute value of -367 is larger than 1, the whole number part will be -1.
To find the fraction part, we can take the absolute value of -367 and subtract the whole number part from it.
|-367| - |-1| = 367 - 1 = 366
Therefore, -367 can be written as a mixed number: -1 366/1.
Use the additive inverse to find −12 2/3−(−8 5/6). Write the answer as a mixed number.
To solve the expression −12 2/3 − (−8 5/6) using the additive inverse, we need to change the sign of -8 5/6 to its opposite, which will be +8 5/6.
Now, we can solve the subtraction problem by adding the additive inverse of -8 5/6 to -12 2/3.
-12 2/3 + 8 5/6 = -12 + 8 + 2/3 + 5/6 = -4 + 2/3 + 5/6
To add the fractions, we need a common denominator. The least common multiple of 3 and 6 is 6, so we convert both fractions to have a denominator of 6.
-4 + 2/3 + 5/6 = -4 + 4/6 + 5/6 = -4 + 9/6
Now, we can combine the whole number and fraction parts.
-4 + 9/6 = -4 + 1 3/6
Simplifying the fraction:
-4 + 1 3/6 = -4 + 1 1/2
To combine the whole numbers and fractions, we need a common denominator. The common denominator of 2 and 6 is 6.
-4 + 1 1/2 = -4 + 3/2 = -4 + 6/4 = -4 + 1 2/4
Simplifying the fraction:
-4 + 1 2/4 = -4 + 1 1/2
Therefore, the answer is -4 1/2 as a mixed number.
What is the distance between −8 and 16 on a number line?
To find the distance between -8 and 16 on a number line, we can subtract the smaller value from the larger value and take the absolute value of the result:
|16 - (-8)| = |16 + 8| = |24| = 24
Therefore, the distance between -8 and 16 on a number line is 24 units.
What is the distance between 18.25 and −7.4 on the number line?
To find the distance between 18.25 and -7.4 on the number line, we subtract the smaller value from the larger value and take the absolute value of the result:
|18.25 - (-7.4)| = |18.25 + 7.4| = |25.65| = 25.65
Therefore, the distance between 18.25 and -7.4 on the number line is 25.65 units.