Subtract Rational Numbers Quick Check
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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.
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.
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.
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.
negative 4.5 Image with alt text: 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.
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The correct answer is -4.5.
Use the image to answer the question.
A vertical number line ranges from negative 24 to negative 22 in increments of 1. A solid line with dots on both ends is drawn on the number line, ranging from negative 23 and one-half to negative 22.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22−112
(1 point)
Based on the information given, the absolute value of subtracting -22 and -1/12 on a vertical number line diagram would be 331/2.
wrong
I apologize for the incorrect response. Let's correct it.
To find the absolute value of subtracting -22 and -1/12 on a vertical number line diagram, we need to subtract the two numbers and then take the absolute value of the result.
-22 - (-1/12)
Simplifying this expression, we need to subtract a negative number, which is equivalent to adding a positive number.
-22 + 1/12
To add these numbers, we need to find a common denominator.
-22 = -264/12
Now we can add the numbers:
-264/12 + 1/12 = -263/12
To find the absolute value, we disregard the negative sign:
| -263/12 | = 263/12
Therefore, the absolute value of subtracting -22 and -1/12 on a vertical number line diagram is 263/12.
What is the absolute value of subtracting these rational numbers on a vertical number line diagram? −22−1 1/2
Use the image to answer the question.
A number line ranges from negative 1 to 2 in increments of 1. A solid line with three dots is drawn along the number line, ranging from negative 1 to 2. The first dot is at Negative 1 and is labeled Jason’s friend’s house. dot two is at 0 and labeled Jason’s house. Dot 4 is at 2 and labeled Jason’s school.
Jason rides his bike home from school 2 miles. On his way back home from school, he passes his house to go to his friend's house, which is a mile farther. What is the total distance Jason traveled from school?
To find the total distance Jason traveled from school, we need to add the distance from his school to his friend's house, and then add the distance from his friend's house to his own house.
The distance from his school to his friend's house is 2 miles.
The distance from his friend's house to his own house is 1 mile farther.
Therefore, the total distance Jason traveled from school is 2 miles + 1 mile = 3 miles.
Subtract 12−(−8)
To subtract 12 - (-8), we can rewrite the expression as:
12 + 8
Now, we can perform the subtraction:
12 + 8 = 20
Therefore, 12 - (-8) is equal to 20.