Multiplication and Division

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What is multiplication?

Back

Multiplication is a mathematical operation that represents the repeated addition of a number. For example, 3 multiplied by 4 (3 x 4) means adding 3 four times: 3 + 3 + 3 + 3 = 12.

Front

What is division?

Back

Division is a mathematical operation that represents the process of splitting a number into equal parts. For example, 12 divided by 4 (12 ÷ 4) means splitting 12 into 4 equal parts, which equals 3.

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What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations. This means that if you multiply a number and then divide by the same number, you will return to the original number. For example, 6 x 2 = 12 and 12 ÷ 2 = 6.

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What is a quotient?

Back

A quotient is the result of a division problem. For example, in the division 20 ÷ 5 = 4, the number 4 is the quotient.

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What is a factor?

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A factor is a number that divides another number without leaving a remainder. For example, in the multiplication 3 x 4 = 12, both 3 and 4 are factors of 12.

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What does it mean to divide by zero?

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Dividing by zero is undefined in mathematics. This means you cannot divide any number by zero because it does not result in a meaningful value.

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What is a multiplication table?

Back

A multiplication table is a chart that shows the products of pairs of numbers. It helps students learn and memorize multiplication facts.

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How do you check your division answer?

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To check your division answer, you can multiply the quotient by the divisor. If the result equals the dividend, your answer is correct. For example, if 12 ÷ 4 = 3, then check by calculating 3 x 4 = 12.

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What is repeated subtraction?

Back

Repeated subtraction is a method used to perform division by subtracting the divisor from the dividend until you reach zero. For example, to divide 12 by 3, you can subtract 3 from 12 four times: 12 - 3 - 3 - 3 - 3 = 0.

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What is a remainder?

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A remainder is the amount left over after division when the dividend is not evenly divisible by the divisor. For example, in 10 ÷ 3, the quotient is 3 and the remainder is 1.