Use the additive inverse to find −492.89−(−871.78).
Determine the distance between −18.26 and −2.45 on a number line.(1 point)
Responses
To find the distance between two points on a number line, we subtract the smaller value from the larger value and take the absolute value of the result.
In this case, the smaller value is -18.26 and the larger value is -2.45.
|-2.45 - (-18.26)| = |-2.45 + 18.26|
Simplifying, we get:
|15.81| = 15.81
Therefore, the distance between -18.26 and -2.45 on a number line is 15.81.
Subtract 24−(−15).
To subtract 24 - (-15), we can rewrite the expression as 24 + 15, using the additive inverse.
24 + 15 = 39
Therefore, 24 - (-15) = 39.
What is 1749 + 59 − 8 − 10?
To find 1749 + 59 - 8 - 10, we can add and subtract the numbers in order:
1749 + 59 - 8 - 10 = (1749 + 59) - 8 - 10
= 1808 - 8 - 10
= 1792 - 10
= 1782
Therefore, 1749 + 59 - 8 - 10 = 1782.
To find the negative value of a number, we can use its additive inverse, which is the number that when added to the original number gives the sum of zero.
For example, the additive inverse of 10 is -10 since 10 + (-10) = 0.
So, to find -492.89 - (-871.78), we can rewrite the expression as -492.89 + (-871.78), and then use the additive inverse of -871.78, which is 871.78.
Thus, -492.89 - (-871.78) = -492.89 + 871.78.