Multiplying Mixed Numbers Worksheet
This worksheet is intended for use with the lesson Multiplying Decimals and Mixed Numbers.
Please answer the following questions, showing your work where appropriate. Good luck!
- Choose a whole number to be your starting number: _______________
- Choose a mixed number to multiply the number in #1 by: _______________
- Will the product (multiplication) of the numbers you chose be larger or smaller than the starting number? _______________
- What is the product when the two are multiplied? _______________
What is the difference between this product and the starting number?_______________ Please show your work.
- What will happen if you multiply the result in #4 by the mixed number you chose in #2? Will the result be larger or smaller than the starting number? than the result in #4? Please explain and show work that supports your conjecture:
- What is the ratio of the starting number and the result in #4? _______________
What is the ratio of the result in #4 and the result in #5? _______________ How do the two ratios compare? Please show your work:
- If you continue to multiply each result by the mixed number that you chose in #2, what will happen over time?
- Enter your starting number and multiplier into the computer program. Look at the numbers that were generated. Were your predictions correct? If not, what was different about the result?
- Try this again with another starting number. Perhaps you would like to try a starting number that is also a mixed number? What results might that give you? Can you come up with a starting number and a multiplier that give interesting or unexpected results?
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