Use the additive inverse to find 8.76−26.54.
To find the additive inverse of a number, we change its sign.
The additive inverse of 26.54 is -26.54.
Therefore, 8.76 - 26.54 can be written as 8.76 + (-26.54).
Adding these two numbers, we get -17.78.
So, 8.76 - 26.54 = -17.78.
Use the additive inverse to find −1223−(−856). Write the answer as a mixed number.
To find the additive inverse of a number, we change its sign.
The additive inverse of -856 is 856.
Therefore, -1223 - (-856) can be written as -1223 + 856.
Subtracting these two numbers, we get -367.
So, -1223 - (-856) = -367.
As a mixed number, -367 is -366 and 1.
Use the additive inverse to find −12 2/3 − (−8 5/6). Write the answer as a mixed number.
To find the additive inverse of a number, we change its sign.
The additive inverse of -8 5/6 is 8 5/6.
Therefore, -12 2/3 - (-8 5/6) can be written as -12 2/3 + 8 5/6.
Converting both mixed numbers to improper fractions, we have -38/3 + 53/6.
We need to find a common denominator for 3 and 6, which is 6.
-38/3 can be rewritten as -76/6.
-76/6 + 53/6 = -23/6.
The answer, as a mixed number, is -3 5/6.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22 − 1 1/2
To find the absolute value of subtracting -22 and -1 1/2, we need to find the difference between the two numbers and then take the absolute value.
-22 - 1 1/2 can be rewritten as -22 - 3/2.
Finding a common denominator for the subtraction, we have -22 - 3/2 = -44/2 - 3/2 = -47/2.
To take the absolute value, we disregard the negative sign, so the absolute value of -47/2 is 47/2.
However, on a vertical number line diagram, the absolute value can be represented as the distance between the numbers in question without considering the direction.
So, the distance between -22 and -1 1/2 is 47/2 units on the number line diagram.
−22 − 1 1/2
To subtract -1 1/2 from -22, we need to find a common denominator.
-1 1/2 can also be written as -3/2.
Now we can subtract:
-22 - 3/2 = -44/2 - 3/2 = -47/2.
Therefore, -22 - 1 1/2 is equal to -47/2.