Division Fact Families

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What is a division fact family?

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A division fact family consists of a set of related multiplication and division facts that use the same numbers. For example, the numbers 30, 5, and 6 form a fact family: 30 ÷ 5 = 6, 5 x 6 = 30.

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How do you determine how many days a bag of items will last if a certain amount is used each day?

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To find out how many days a bag of items will last, divide the total number of items by the number of items used each day. For example, if there are 30 dog bones and 5 are used each day, then 30 ÷ 5 = 6 days.

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What is the relationship between multiplication and division in a fact family?

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Multiplication and division are inverse operations. In a fact family, if you know the product of two numbers, you can find the quotient by dividing the product by one of the factors.

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How can you find the total number of legs if you know the number of animals and the number of legs each has?

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To find the total number of legs, multiply the number of animals by the number of legs each animal has. For example, if there are 4 ants and each ant has 6 legs, then 4 x 6 = 24 legs.

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What is the formula to find out how many items each person gets when sharing?

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To find out how many items each person gets when sharing, divide the total number of items by the number of people. For example, if there are 40 candies and 8 friends, then 40 ÷ 8 = 5 candies per friend.

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What does it mean for a math sentence to NOT belong to a fact family?

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A math sentence that does not belong to a fact family does not use the same numbers or does not follow the relationship defined by the multiplication or division of those numbers.

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How do you identify the correct division fact from a given multiplication fact?

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To identify the correct division fact from a multiplication fact, take the product and divide it by one of the factors. For example, from 7 x 6 = 42, the division facts are 42 ÷ 7 = 6 and 42 ÷ 6 = 7.

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What is the significance of understanding fact families in solving application-based questions?

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Understanding fact families helps students recognize relationships between numbers, making it easier to solve application-based questions involving division and multiplication.

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How can you check if your division answer is correct?

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To check if your division answer is correct, multiply the quotient by the divisor. If the product equals the dividend, then the division is correct.

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What is the total number of legs for 5 spiders if each has 8 legs?

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To find the total number of legs for 5 spiders, multiply the number of spiders by the number of legs each has: 5 x 8 = 40 legs.