Algebra/Arithmetic/Multiplication Problems
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There are three types of multiplication word problems:
- Repeated Addition
- Cartesian Multiplication
- Multiplicative Comparison Problems - This type of problem might look like a repeated addition or Cartesian multiplication problem, but you are missing part of the problem. If you know one number and a multiplier this is called a "Product Unknown Comparison Problem". If you know the product and the multiplier, but not the original set this is called a "Set Size Unknown problem", and finally if you are given the size of two sets, one of which is a multiple of the other than this is a "Multiplier Unknown" problem
Problem 1
The picture to the right shows stamps, arranged in four groups of four.
How many stamps are in that image? While you can count them individually, there is a much faster way of getting the total.
Problem 2
Problem 3
Multiplicative Comparison Problems:
Multiplier Unknown Comparison Problem:
Mary is collecting bottles to return for deposit. There are 24 bottles in a case. This month she has collected 3 cases of bottles. How many bottles has she collected?
Product Unknown Comparison Problem:
If the deposit on each bottle is 5 cents, how much money will Mary collect for her 3 cases of bottles?
Set Size Unknown Comparison Problem:
Mary's younger brother also collected bottles. He received $2.40 for the bottles he collected. How many cases did he collect?