Word Problems: Multiplication and Division

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What is multiplication?

Back

Multiplication is a mathematical operation where a number is added to itself a certain number of times. For example, 3 multiplied by 4 (3 x 4) means adding 3 four times: 3 + 3 + 3 + 3 = 12.

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What is division?

Back

Division is a mathematical operation where a number is split into equal parts. For example, 12 divided by 3 (12 ÷ 3) means splitting 12 into 3 equal parts, which equals 4.

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How do you solve a word problem involving multiplication?

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To solve a word problem involving multiplication, identify the quantities involved, determine what is being multiplied, and then perform the multiplication to find the answer.

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How do you solve a word problem involving division?

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To solve a word problem involving division, identify the total quantity and the number of equal parts, then divide the total by the number of parts to find the size of each part.

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What is the formula for finding total earnings from a daily rate?

Back

Total Earnings = Daily Rate x Number of Days. For example, if you earn $15 a day for 14 days, your total earnings would be 15 x 14 = $210.

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What does it mean to find the average in a word problem?

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Finding the average means calculating the total amount and dividing it by the number of items. For example, if you drove 1,012 miles over 11 days, the average miles per day would be 1,012 ÷ 11 = 92 miles.

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What is a unit rate?

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A unit rate is a comparison of two different quantities where one of the quantities is equal to one. For example, if a car travels 300 miles in 5 hours, the unit rate is 300 ÷ 5 = 60 miles per hour.

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How do you calculate total distance traveled in a multi-stage event?

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To calculate total distance traveled in a multi-stage event, multiply the distance per stage by the number of stages. For example, if a bicyclist rides 155 miles per day for 24 days, the total distance is 155 x 24 = 3,720 miles.

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What is the relationship between multiplication and division?

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Multiplication and division are inverse operations. This means that if you multiply a number and then divide by the same number, you return to the original number. For example, 6 x 4 = 24 and 24 ÷ 4 = 6.

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How can you represent a word problem visually?

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You can represent a word problem visually by drawing a picture, using diagrams, or creating a table to organize the information and help understand the relationships between quantities.