Division with Remainder

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What is division with remainder?

Back

Division with remainder is a mathematical operation where one number (the dividend) is divided by another number (the divisor), resulting in a quotient and a remainder. The remainder is what is left over after the division when the dividend is not perfectly divisible by the divisor.

Front

How do you calculate the number of vehicles needed for a group of people?

Back

To calculate the number of vehicles needed, divide the total number of people by the capacity of one vehicle. If there is a remainder, round up to the next whole number since you cannot have a fraction of a vehicle.

Front

What is the formula for division?

Back

The formula for division is: Dividend ÷ Divisor = Quotient + Remainder/Divisor.

Front

How do you find the quotient and remainder when dividing two numbers?

Back

To find the quotient and remainder, perform the division. The quotient is the whole number result of the division, and the remainder is what is left over after subtracting the product of the divisor and the quotient from the dividend.

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What is the relationship between division and multiplication?

Back

Division is the inverse operation of multiplication. If a × b = c, then c ÷ b = a and c ÷ a = b.

Front

How do you round up when calculating the number of vehicles needed?

Back

When calculating the number of vehicles needed, if the division results in a decimal or a remainder, round up to the next whole number to ensure all individuals have transportation.

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What is the significance of the remainder in division?

Back

The remainder indicates how many units are left over after division. It is important in real-world applications, such as determining how many additional resources are needed.

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How can you express a division problem with a remainder in a mathematical equation?

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A division problem with a remainder can be expressed as: Dividend = (Divisor × Quotient) + Remainder.

Front

What is the process for dividing larger numbers, such as 7,893 ÷ 9?

Back

To divide larger numbers, use long division. Divide the first digit(s) of the dividend by the divisor, write the quotient above, multiply the divisor by the quotient, subtract from the dividend, and bring down the next digit. Repeat until all digits are processed.

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How do you apply division in real-life scenarios, such as transporting items?

Back

In real-life scenarios, division helps determine how many groups or containers are needed to transport items. For example, dividing the total number of items by the capacity of each container gives the number of containers required.