Decimal Multiplication and Division Quiz

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Questions and Answers

How many calories did Marcus burn while exercising over the 6 days?

  • 27,000 calories
  • 2,250 calories
  • 1,800 calories
  • 2,700 calories (correct)

Amber spent $0.75 on each candy bar.

True (A)

What is the total weight of sand Molly purchased from the small and large bags?

91.5 pounds

Molly needs ______ pounds of sand for her playground.

<p>158</p> Signup and view all the answers

How much did Celine pay for the 7 candles after using her coupon?

<p>$55.90 (C)</p> Signup and view all the answers

Each small bag of sand weighs 20.7 pounds.

<p>False (B)</p> Signup and view all the answers

What is the quotient of 31 divided by 2.79?

<p>11.1</p> Signup and view all the answers

Marcus exercised for ______ hours each day.

<p>1.5</p> Signup and view all the answers

Which equation shows how to find the total cost in dollars and cents of the 5 lemons that Zoey bought?

<p>5 x 0.30 = 1.50 (B)</p> Signup and view all the answers

What is the water pressure, in psi, of each hose when all three hoses are turned on?

<p>21.6 psi (A)</p> Signup and view all the answers

The equation 0.42 ÷ 7 = 0.06 is represented by the model.

<p>False (B)</p> Signup and view all the answers

How many total miles did Debbie run in 14 days?

<p>59.5 miles (D)</p> Signup and view all the answers

Marta’s first step should be to ____________.

<p>multiply 2 by 1.3</p> Signup and view all the answers

The value of the expression 5[6.8 + 2(1.3)] is __________.

<p>57.2</p> Signup and view all the answers

What is the length of each smaller piece of cardboard after Darlene cuts a 28.05-inch cardboard into 5 equal pieces?

<p>5.61 inches</p> Signup and view all the answers

Match the following operations with their corresponding results:

<p>5 x 0.30 = $1.50 64.8 ÷ 3 = 21.6 psi 0.42 ÷ 7 = 0.07 28.05 ÷ 5 = 5.61 inches</p> Signup and view all the answers

Flashcards

Multiplying decimals

Multiplying decimal numbers involves aligning the numbers vertically, calculating the product as if they were whole numbers, and then placing the decimal point in the product according to the total number of decimal places in the factors.

Dividing decimals

To divide decimals, ensure the divisor (the number you're dividing by) is a whole number. Multiply both the dividend (the number being divided) and the divisor by the same power of 10 to move the decimal point in the divisor to the right. Perform long division as you would with whole numbers.

Decimal multiplication problem

Zoey bought 5 lemons, each costing $0.30. Find the total cost.

Decimal division problem

3 hoses receive a total water pressure of 64.8 psi. Find water pressure per hose

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Decimal division model

A model showing 0.42 divided by 7

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Decimal multiplication word problem

Debbie ran 4.25 miles each day for 14 days. Find the total miles.

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Order of Operations (PEMDAS)

The order in which mathematical operations are performed in an expression: Parentheses/Brackets, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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Evaluating an expression with order of operations

Calculating the value of an expression using the correct order of mathematical operations.

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Amber's Candy Bars Cost

Amber spent $0.75 on each of 5 candy bars.

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Marcus's Exercise Calories

Marcus burned 2,700 calories exercising for 6 days.

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Molly's Sand Purchase

Molly needs about 15 more pounds of sand.

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Division Problem 31 ÷ 2.79

The quotient is approximately 11.15.

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Celine's Candle Cost

Celine paid $59.85 for 7 candles.

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Quarters to Dollars

Amber had $3.75 in quarters.

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Pounds of Sand

Molly bought 5 small bags with 12.8 pounds of sand each and 3 large bags with 20.7 pounds each.

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Total Exercise Hours

Marcus exercised for 9 hours over 6 days

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Study Notes

Decimal Multiplication and Division

  • Problem 1: Zoey bought 5 lemons, each costing $0.30. The correct equation to find the total cost is 5 x $0.30 = $1.50.

  • Problem 2: Three hoses receive a total water pressure of 64.8 psi. If the pressure is evenly distributed, each hose receives 21.6 psi.

  • Problem 3: A model shows a division problem. The matching equation is 0.42 ÷ 7 = 0.06.

  • Problem 4: Debbie ran 4.25 miles a day for 14 days. The total distance she ran is 59.5 miles.

  • Problem 5: A model represents 1 whole. The model that represents 3 x 1.4 is option C.

  • Problem 6: Marta needs to multiply 2 by 1.3 to correctly solve 5[6.8 + 2(1.3)].

  • Problem 7: The correct answer to the expression 5[6.8 + 2(1.3)] is 47.

  • Problem 8: Darlene's cardboard is 28.05 inches long. When cut into 5 equal pieces, each piece is 5.61 inches long.

  • Problem 9: Amber has $3.75 in quarters, which is equivalent to 15 quarters. If she spends this money on five candy bars, the equation that represents the amount spent on each bar is $3.75 ÷ 5 = $0.75.

  • Problem 10: Marcus exercised 1.5 hours a day for 6 days. If he burned 300 calories per hour, he burned a total of 2700 calories.

  • Problem 11: Molly needs 158 pounds of sand. She bought 5 small bags (12.8 pounds each) and 3 large bags (20.7 pounds each). Molly still needs approximately 30 pounds of sand.

  • Problem 12: The quotient in the given problem 31 ÷ 2.79 is 11.18 (approximately).

  • Problem 13: Celine bought 7 candles at $8.55 each. A $3.95 coupon was used. The total cost of the candles is $55.90.

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