Add and Subtract Rational Numbers: CCSS.Math.Content.7.NS.A.1d - Common Core: 7th Grade Math
Card 0 of 20
Solve:
Solve:
Let's work from left to right since it's only subtraction and addition. Since 
is greater than 
and it's positive our answer is positive, but we treat this like a subtraction problem because the 
is negative. 
. Now we have 
. 
is greater than 
and it's negative so our answer is negative and we treat this like a subtraction problem. 
, but since our answer should be negative our answer is 
.
Let's work from left to right since it's only subtraction and addition. Since
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Evaluate:
Evaluate:
Break up the parentheses. Double negatives result in a positive sign, and positive with a negative sign will result in a negative sign.
Next, simplify by adding and subtracting each component from left to right.
Break up the parentheses. Double negatives result in a positive sign, and positive with a negative sign will result in a negative sign.
Next, simplify by adding and subtracting each component from left to right.
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Solve:
Solve:
Solve by first combining signs and eliminate the parentheses.
A positive multiplied with a negative sign will give a negative sign.
Solve by first combining signs and eliminate the parentheses.
A positive multiplied with a negative sign will give a negative sign.
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Subtract: 
Subtract:
Eliminate the double negatives first.
Double negatives will result in a positive sign.
Simplify the terms.
Eliminate the double negatives first.
Double negatives will result in a positive sign.
Simplify the terms.
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Solve.
Solve.
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Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign 
we move to the right because that is towards the positive side of the number line. When we have a subtraction sign 
we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
Remember, 
and 
are opposite numbers. A number and its opposite always have a sum of 
.
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Remember,
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the left on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the left, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the left on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the left, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the left on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the left, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the left on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the left, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the left on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the left, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the left on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the left, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
Remember, 
and 
are opposite numbers. A number and its opposite always have a sum of 
.
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Remember,
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above
Use the number line provided to help solve the following problem:
Use the number line provided to help solve the following problem:
In order to solve this problem, we need to start at 
on the number line.
Next, we have 
which means we need to move 
places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.
The orange arrow moved 
places to the right, and ended at 
; thus,
In order to solve this problem, we need to start at
Next, we have
The orange arrow moved
Compare your answer with the correct one above