Operations & Algebraic Thinking

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5th Grade Math › Operations & Algebraic Thinking

Questions 1 - 10

Solve:

$8\times(57-45)$

Explanation

$8\times(57-45)$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.

$8\times12=96$

Solve:

$8\times(57-45)$

Explanation

$8\times(57-45)$

When solving this problem, remember order of operations PEMDAS. The parentheses come first followed by the multiplication.

$8\times12=96$

Solve:

$32+(45-38)\times 7$

Explanation

$32+(45-38)\times 7$

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the addition.

$7\times7=49$

Solve:

$32+(45-38)\times 7$

Explanation

$32+(45-38)\times 7$

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the addition.

$7\times7=49$

Solve:

$2\times (50-25)\div5$

Explanation

$2\times (50-25)\div5$

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the division.

$25\times2=50$

$50\div5=10$

Select the equation that reflects the phrase below.

Find the product of times the quotient of divided by

$72\div9\times6$

$72-9\times6$

$72\times9\times6$

$9\times6\div72$

$72+9\times6$

Explanation

When you are asked to find the product that means we are going to multiply. Because we are multiplying and dividing in this question, we do not need to use parentheses because with multiplication and division you work the problem out from left to right. So first we have the division problem, then we multiply because it says to find the product of the quotient (answer to a division problem), which means we need to divide first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

Subtract from the quotient of divided by

$100\div4-5$

$100\div(4-5)$

$100\div(5-4)$

$100\times4-5$

$100\div4+5$

Explanation

Because of our order of operations, the division problem needs to come first. We list the subtraction last because we are subtracting a number by the quotient, so the quotient needs to be listed first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Select the equation that reflects the phrase below.

First add and , then multiply by .

$(8+9)\times2$

$(18+9)\times2$

$8+9\times2$

$2\times8+9$

$2\times9+8$

Explanation

Because we want to add and first, we need to set that off into parentheses due to the order of operation rules. Then we can multiply by .

Select the equation that reflects the phrase below.

Add to the difference between and

$86\div54+22$

$86\times54+22$

Explanation

Difference means the answer to a subtraction problem. Because we are adding a number to the difference, we need to do the subtraction problem first. Since we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the subtraction problem, then we add.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Solve:

$2\times (50-25)\div5$

Explanation

$2\times (50-25)\div5$

When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the division.

$25\times2=50$

$50\div5=10$

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