2.8 Problem Solving Division

What is a multi-step problem?

• A problem that can be solved in one step.

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

• A problem that has only one correct answer.

• A problem that does not require any calculations.

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

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

• You can simply add the two quantities together.

• You can ignore the relationship and guess the value.

• You can multiply the two quantities to find the answer.

What is the importance of understanding ratios in division problems?

• Ratios help to compare quantities and understand the relationship between them.

• Ratios are only useful in multiplication problems.

• Ratios can be ignored in division problems.

• Ratios are only applicable to whole numbers.

If a boy weighs 11 times less than a fish, how do we express this relationship?

• If the weight of the fish is F, then the weight of the boy is F/11.

• If the weight of the fish is F, then the weight of the boy is 11F.

• If the weight of the fish is F, then the weight of the boy is F/10.

• If the weight of the fish is F, then the weight of the boy is F/12.

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

• 110 pounds

• 132 pounds

• 150 pounds

• 120 pounds

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?

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

• The total laps run in the first month is 300 laps.

• The athlete ran 600 laps in the first month.

• The first month laps can be found by dividing 1200 by 5.

What is the first step in solving a division problem?

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

• Perform the division operation directly.

• Estimate the quotient before dividing.

• Write down the division equation.

What does it mean to compare weights using division?

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

• It means to add the weights of two objects together.

• It means to find the average weight of two objects.

• It means to subtract the weight of one object from another.

How can diagrams help in solving word problems?

• They provide a detailed narrative of the problem.

• They visually represent the problem, making it easier to understand relationships and quantities.

• They eliminate the need for calculations altogether.

• They confuse the solver with unnecessary details.

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

• F + 20F = 1155

• F + 20F = 1000

• F + 20F = 1200

• F + 20F = 900