Use the additive inverse to find −123.45−(− 234.76).(1 point)
Responses
−111.31
negative 111.31
111.31
111.31
−358.21
negative 358.21
121.31
To find the result of −123.45−(−234.76), we can use the additive inverse.
The additive inverse of a number is the number that when added to the original number, gives a sum of zero.
In this case, the additive inverse of −234.76 is 234.76 because -234.76 + 234.76 = 0.
So, −123.45−(−234.76) can be rewritten as −123.45 + 234.76.
Now, we can add these two numbers together:
−123.45 + 234.76 = 111.31.
Therefore, the answer is 111.31.
Subtract Rational Numbers Quick Check
3 of 53 of 5 Items
Question
Consider 16–20.5. What is the solution? Represent the subtraction on a horizontal number line diagram.
(1 point)
Responses
−4.5
A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
negative 4.5 Image with alt text: A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
4.5
A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
4.5 Image with alt text: A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
16
A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
16 Image with alt text: A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4.5 to 16.
−4.5
A number line ranges from negative 21 to 15 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 20.5 to 16.
To find the additive inverse of a number, you simply change its sign. In this case, the additive inverse of -234.76 would be 234.76.
Next, to solve the expression -123.45 - (-234.76), you can rewrite it as -123.45 + 234.76.
Now, you can add the two numbers together:
-123.45 + 234.76 = 111.31
Therefore, the answer is 111.31.
To find the value of −123.45 − (−234.76) using the additive inverse, we need to remember that the additive inverse of a number is the number that when added to it, results in zero.
In this case, we can rewrite the expression as −123.45 + 234.76. To find the sum, add the numbers together:
−123.45 + 234.76 = 111.31
Therefore, the correct answer is 111.31.
To subtract 20.5 from 16, we can start by representing 16 on a number line.
A number line ranges from negative 4 to 16 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 4 to 16.
To subtract 20.5, we move 20.5 units to the left of 16 on the number line.
Therefore, the solution is -4.5.