long division

Front

What is long division?

Back

Long division is a method for dividing two numbers, where the divisor is separated from the dividend and the division is performed step by step.

Front

How do you set up a long division problem?

Back

To set up a long division problem, write the dividend (the number being divided) under the long division symbol and the divisor (the number you are dividing by) outside the symbol.

Front

What is the first step in long division?

Back

The first step in long division is to determine how many times the divisor can fit into the leading digits of the dividend.

Front

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

Back

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

Front

What does the term 'remainder' mean in division?

Back

The remainder is the amount left over after division when the dividend cannot be evenly divided by the divisor.

Front

How do you handle remainders in long division?

Back

In long division, if there is a remainder, it can be expressed as a fraction, decimal, or simply stated as 'r' followed by the remainder value.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations; dividing a number is the same as multiplying by its reciprocal.

Front

How can you check your long division answer?

Back

To check your long division answer, multiply the quotient by the divisor and add the remainder. The result should equal the original dividend.

Front

What is the significance of zero in long division?

Back

Zero is significant in long division as it can indicate that the divisor does not fit into the current digit of the dividend, and it helps in placing the correct digits in the quotient.

Front

What is a common mistake made in long division?

Back

A common mistake in long division is misplacing the decimal point or forgetting to bring down the next digit.