Operations - 7th Grade Math
Card 0 of 3
Andrew spends every Saturday at the gym working out. He can complete 
of his workout in 
of an hour. If he continues at this rate, how much of his workout does Andrew complete per hour?
Andrew spends every Saturday at the gym working out. He can complete
The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of his workout, 
, divided by hours, 
:
Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.
Therefore:
Andrew can complete 
of his workout per hour.
The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of his workout,
Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.
Therefore:
Andrew can complete
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Solve:
Solve:
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
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Solve:
Solve:
We know the following information:
In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:
- A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
- A negative number divided by a negative number will always equal a positive number
Thus,
We know the following information:
In this particular case, do the negative numbers change our answer? . There are a couple of rules that we need to remember when multiplying with negative numbers:
- A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
- A negative number divided by a negative number will always equal a positive number
Thus,
Compare your answer with the correct one above