long division

Front

What is long division?

Back

Long division is a method for dividing large numbers by breaking the division process into a series of easier steps.

Front

How do you perform long division?

Back

1. Divide the first digit of the dividend by the divisor. 2. Multiply the divisor by the result and subtract from the dividend. 3. Bring down the next digit. 4. Repeat until all digits have been brought down.

Front

What is the quotient in division?

Back

The quotient is the result of dividing one number by another.

Front

What is a remainder in division?

Back

A remainder is the amount left over after division when the dividend is not evenly divisible by the divisor.

Front

How do you interpret the result of a division problem with a remainder?

Back

The result can be expressed as a mixed number, where the quotient is the whole number part and the remainder is the fractional part.

Front

What does it mean to divide a number by 1?

Back

Dividing any number by 1 results in the same number, as 1 is the multiplicative identity.

Front

What is the significance of zero in division?

Back

Dividing by zero is undefined, as it does not produce a meaningful result.

Front

How do you divide a decimal number by a whole number?

Back

You can perform long division as usual, treating the decimal as a whole number, and place the decimal point in the quotient directly above the decimal in the dividend.

Front

What is the value of a digit in a number based on its place value?

Back

The value of a digit is determined by its position in the number; for example, in 247,098, the 4 is in the ten-thousands place, so its value is 40,000.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.