Relating Multiplication and Division

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What is multiplication?

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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?

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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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What is a fact family?

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A fact family is a group of related addition and subtraction or multiplication and division equations that use the same numbers. For example, the numbers 2, 3, and 6 can form the fact family: 2 + 3 = 5, 3 + 2 = 5, 5 - 2 = 3, 5 - 3 = 2.

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How do multiplication and division relate to each other?

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Multiplication and division are inverse operations. This means that if you multiply two numbers, you can divide the product by one of the numbers to get the other number. For example, if 4 x 5 = 20, then 20 ÷ 5 = 4.

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What is the equation for finding how many groups can be made?

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To find how many groups can be made, you can use division. For example, if you have 18 items and want to put them into groups of 3, you would calculate 18 ÷ 3 = 6 groups.

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What does it mean to complete a fact family?

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Completing a fact family means finding the missing numbers or equations that relate to the given numbers. For example, if you know 2, 3, and 5, you can find the addition and subtraction equations that connect them.

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If you have 24 apples and want to put them in bags of 6, how many bags do you need?

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What is the relationship between the numbers in a multiplication equation?

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In a multiplication equation, the numbers are called factors, and their product is the result. For example, in 3 x 4 = 12, 3 and 4 are factors, and 12 is the product.