# AzM2 Grade 5 Math Test

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#### Identify and solve the problem: 5 x (3+4) + 6 x (3+4) =

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Parentheses, multiplication, and remaining addition would be the order of operations for this problem. When the numbers in the parenthesis (3+4) are added together, the result is 7.
5x7, 6x7 is multiplied in front of them. Finally, the sum of 35 and 42 is calculated.

#### Compare and contrast the two numbers below. Which of the following statements is correct? 5,092 and 5,90

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The "9" in the second number is ten times as large as the "9" in the first.
The value of the 9 increases tenfold when it is moved from the tens to the hundreds place.

#### To the hundredth decimal place, round 893.688. Choose the correct answer.

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We are looking at the third number following the decimal to determine whether to round up or down when eliminating that digit because we are rounding to the closest hundredth. After the decimal point, we're left with only two numbers, rounding the 8 to 9.

#### Multiply 578 by 6,937 to get the answer.

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Students must be able to multiply three-digit numbers by four-digit numbers with ease. When multiplying each pair of digits, make sure the digits are in the correct place value.

#### For the number 40, Maggie was looking for factor pairings. The following is Maggie's list of 40 factor pairs: 40 and 1 two and twenty 4 and ten (5) and (8) What is the best way for Maya to demonstrate that her responses are correct?

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This activity requires you to use mathematical reasoning to find factoring pairs for a whole number in the range of 1 to 100. Because factor pairs are two numbers that, when multiplied together, equal another number (or product), the right answer is (c) "When you multiply the two values in each factor pair, the product is 40."

#### Which of the following number statements best represents Multiplication's Associative Property?

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When three or more numbers are multiplied, the product will be the same no matter how the three numbers are arranged, according to the Associative Property of Multiplication. Whether the 11 x 6 are grouped together in parenthesis or the 6 x 7 are grouped together, multiplying 11 x 6 x 7 will get the same result. The other possibilities are all mathematically true, but they demonstrate distinct multiplication features.

#### Which of the following expressions equals 2?

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Work from the inside to the outside when using parenthesis () and brackets [].

[(3 x 2) + 4] ÷ 5 → [6 + 4] ÷ 5 → 10 ÷ 5 → 2

2 x [(5 x 4) ÷ 10] → 2 x [20 ÷ 10] → 2 x 2 → 4

12 - [(4 + 8) ÷ 3] → 12 - [12 ÷ 3] → 12 - 4 → 8

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