Use the additive inverse to find 23.45−68.7

The additive inverse of a number is the number that, when added to the original number, equals zero. In this case, the additive inverse of 68.7 is -68.7.

To find 23.45 - 68.7 using the additive inverse, we can rewrite the equation as 23.45 + (-68.7).

Adding these two numbers, we have 23.45 + (-68.7) = -45.25.

Therefore, 23.45 - 68.7 = -45.25.

Determine the distance between 13.48 and −3.46

on a number line

To determine the distance between two numbers on a number line, you need to subtract the smaller number from the larger number and take the absolute value of the result.

In this case, the smaller number is -3.46 and the larger number is 13.48.

Taking the absolute value of (13.48 - (-3.46)), we have |13.48 - (-3.46)|.

Simplifying the expression, we get |13.48 + 3.46| = |16.94|.

Therefore, the distance between 13.48 and -3.46 on a number line is 16.94.

What is −99.85−16.98

?

To find -99.85 - 16.98, you can simply subtract the two numbers:

-99.85
-16.98
---------
-116.83

Therefore, -99.85 - 16.98 is equal to -116.83.

A city’s record high temperature is 106°F

and record low temperature is −17°F
. How much warmer is the city’s record high temperature than the record low temperature?

To find out how much warmer the record high temperature is compared to the record low temperature, we need to subtract the low temperature from the high temperature:

106°F - (-17°F)

When subtracting a negative number, we can change the subtraction operation to addition:

106°F + 17°F

Adding these two temperatures, we get:

123°F

Therefore, the city's record high temperature is 123°F warmer than its record low temperature.

You have a score of −500

points in a game. After three rounds of answering your questions correctly, you have a score of 2,700 points. What is the change in score?

To find the change in score, we need to subtract your initial score from your final score:

2,700 points - (-500 points)

When subtracting a negative number, we can change the subtraction operation to addition:

2,700 points + 500 points

Adding these two scores, we get:

3,200 points

Therefore, the change in score is an increase of 3,200 points.

A diver is 15 feet below sea level. The diver then swims up 15 feet to the surface. Which expression shows the correct sum?