Long Division

Front

What is long division?

Back

Long division is a method used to divide larger numbers by breaking the division process into simpler steps, involving repeated subtraction and multiplication.

Front

What is the first step in long division?

Back

The first step in long division is to divide the first digit (or first few digits) of the dividend by the divisor to determine how many times the divisor fits into that part of the dividend.

Front

How do you handle remainders in long division?

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When a remainder occurs in long division, it can be expressed as a fraction (remainder/divisor) or as a decimal by continuing the division process.

Front

What does the term 'dividend' refer to in division?

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The dividend is the number that is being divided in a division operation.

Front

What does the term 'divisor' refer to in division?

Back

The divisor is the number by which the dividend is divided.

Front

What is the quotient in a division problem?

Back

The quotient is the result of the division, representing how many times the divisor fits into the dividend.

Front

How do you check your work after performing long division?

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To check your work, multiply the quotient by the divisor and add the remainder (if any). The result should equal the original dividend.

Front

What is the significance of placing zeros in long division?

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Placing zeros in long division helps to keep the place value correct when the divisor does not fit into the current digit of the dividend.

Front

What is a common mistake made in long division?

Back

A common mistake is misplacing the decimal point or incorrectly estimating how many times the divisor fits into the dividend.

Front

How can long division be used in real-life applications?

Back

Long division can be used in various real-life applications such as calculating averages, splitting bills, or determining how many items can be purchased with a given amount of money.