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Independent Practice: Multiplicative Comparison
Solve each problem below by identifying the number in one set, and the number in the second set, which is a multiple of the first. Divide the second set by the first set. Go back to the problem to make sure you have answered the question being asked, and that your answer makes sense.
Sylvia lives 48 miles away from Washington Elementary School. Jessica lives six miles away from the same school. How many times as far from the school does Sylvia live compared to Jessica?
The number in one set is 48 . The number in the second set is 6 .
48 ÷ 6 = 8
Sylvia lives 8 times as far from the school as Jessica. If you multiply the distance away that Jessica lives by your answer, you should get Sylvia’s distance from the school. Is your answer reasonable?
Joe drew 32 pictures in his sketch book. He drew four times as many pictures as Kevin. How many pictures did Kevin draw?
The multiplier is 4 . The number in the second set is 32 .
32 ÷ 4 = 8
Kevin drew 8 pictures. If you multiply the multiplier by your answer, you should get the number of pictures that Joe drew. Is your answer reasonable?
Corina drank five sodas at the party on Saturday. Her brother, Oscar, drank two times as many. How many sodas did Oscar drink?
The number in one set is 5 . The multiplier is 2 .
5 x 2 = 10
Oscar drank 10 sodas. Since you are multiplying a whole number by a whole number, the number of sodas Oscar drank should be more than the number of sodas Corina drank. Is your answer reasonable?
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The various resources listed below are aligned to the same standard, (4OA02) taken from the CCSM (Common Core Standards For Mathematics) as the Word problems Worksheet shown above.
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.1
Multiplication and Division
- Multiplication Word Problems: Product Unknown : Product Unknown
- Multiplication Word Problems: Set Size Unknown : Set Size Unknown
- Multiplication Word Problems: Multiplier Unknown : Multiplier Unknown
Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:
Use the four operations with whole numbers to solve problems
- Multiplication as Comparison (From Example/Guidance)
- Multi-Step Problems (From Example/Guidance)
- Multiplication as Comparison (From Worksheet)
- Converting Metric Units of Measurement – Pre-assessment (From Worksheet)
- Word Problems: Money – Pre-assessment (From Worksheet)
- Multi-Step Word Problems (From Worksheet)
- Multi-Step Word Problems : Challenging (From Worksheet)