Long Division Word Problems Flashcard

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, involving repeated subtraction and multiplication.

Front

How do you divide a number by a whole number using long division?

Back

To divide a number by a whole number using long division, write the dividend (the number being divided) under the long division symbol and the divisor (the number you are dividing by) outside. Then, determine how many times the divisor fits into the leading digits of the dividend, multiply, subtract, and bring down the next digit, repeating the process until all digits have been used.

Front

What is the quotient in a division problem?

Back

The quotient is the result of dividing one number by another, representing how many times the divisor fits into the dividend.

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 can you check your long division answer?

Back

You can check your long division answer by multiplying the quotient by the divisor and adding the remainder. The result should equal the original dividend.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations; if you multiply a number by a divisor, you can divide the product by the same divisor to return to the original number.

Front

How do you interpret a word problem involving division?

Back

To interpret a word problem involving division, identify the total quantity (dividend), the number of groups or items per group (divisor), and what is being asked (quotient or remainder).

Front

What is the importance of estimating in long division?

Back

Estimating helps to determine a reasonable range for the quotient before performing long division, making the process quicker and helping to catch errors.

Front

What is a practical application of long division in real life?

Back

Long division can be used in real-life situations such as sharing items equally, calculating prices per unit, or determining how many containers are needed for a certain quantity.

Front

How do you handle a situation where the divisor is larger than the dividend?

Back

If the divisor is larger than the dividend, the quotient is 0, and the dividend is the remainder.