2.8 Problem Solving Division

Front

What is division?

Back

Division is the process of splitting a number into equal parts or groups. It is one of the four basic operations in mathematics.

Front

What does it mean when we say 'A weighs X times as much as B'?

Back

It means that the weight of A is X times greater than the weight of B.

Front

If a hamster weighs 7 times as much as a duck, how do we express this relationship mathematically?

Back

If the weight of the duck is D, then the weight of the hamster is 7D.

Front

How do you solve a problem where one quantity is a multiple of another?

Back

You can set up an equation based on the relationship, then solve for the unknown quantity.

Front

What is a multi-step problem?

Back

A multi-step problem requires more than one operation to find the solution, often involving several calculations.

Front

If an athlete ran 1,200 laps in total, and ran 4 times as many laps in the second month as in the first, how do you find the laps run in the first month?

Back

Let x be the laps in the first month. Then, the second month is 4x. The equation is x + 4x = 1200.

Front

What is the total weight of Charlie and Tali if Charlie weighs 5 times as much as Tali?

Back

If Tali's weight is T, then Charlie's weight is 5T. The total weight is T + 5T = 132 pounds.

Front

How do you find the number of fiction and nonfiction books if there are 20 times more nonfiction books?

Back

Let F be the number of fiction books. Then, the nonfiction books are 20F. The equation is F + 20F = 1155.

Front

What is the first step in solving a division problem?

Back

Identify the total quantity and the number of equal parts you want to divide it into.

Front

What does it mean to compare weights using division?

Back

It means to find out how many times heavier one object is compared to another.