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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14 answers
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)
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.
-22 - (-1 1/2)
To subtract -1 1/2, we need to find a common denominator:
-1 1/2 = -3/2
Now we can subtract the numbers:
-22 - (-3/2)
Subtracting a negative number is equivalent to adding a positive number:
-22 + 3/2 = -44/2 + 3/2 = -41/2
To find the absolute value, we disregard the negative sign:
| -41/2 | = 41/2
Therefore, the absolute value of subtracting -22 and -1 1/2 on a vertical number line diagram is 41/2.
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?
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.
12 + 8
Now, we can perform the subtraction:
12 + 8 = 20
Therefore, 12 - (-8) is equal to 20.
5 answers