Students learn prime factorization, Least Common Multiple, and Highest Common Factor / Great Common Divisor.
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The following GeoGebra applet might be useful if you need guidance on prime factorization.
Answer the following questions on prime factorization for the numbers 126 and 180.
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Question 1
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What is the prime factorization of 126?
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Question 2
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What is the prime factorization of 180?
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Question 3
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What is HCF(126, 180)?
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Answer the following questions on prime factorization for the numbers 108, 168, 300, and
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Question 5
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What is the prime factorization of 108?
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Question 6
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What is the prime factorization of 168?
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Write the fraction \dfrac{48}{112} in lowest terms by canceling out the HCF from the numerator and denominator.
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Question 10
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What is the prime factorization of 48?
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Question 11
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What is the prime factorization of 112?
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Question 12
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What is \dfrac{48}{112} in lowest terms?
Question 13
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Calculations with fractions can be made easier by cancelling any common factors between any numerator and any denominator. Use this fact to help you find the value of \dfrac{27}{40} \div 1\dfrac{19}{35}. Write your final answer as a fraction.
Question 14
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Sherbet has a garden of beautiful red roses measuring 84 meters by 112 meters. He wants to divide the whole garden into the minimum number of square plots. What is the length of one side of a square plot?
Question 15
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Aanyaa is building a cardboard fort in an alley. However, she has only a very small alley with dimensions 120cm, 180cm, and 420cm. For some odd reason, she has decided she wants to build it using only the minimum number of cube cardboard boxes possible that fit perfectly into this space. What is the length of one side of a cubic cardboard box she will need?
Are you an over-achiever? Did you finish this assignment before the end of class? Do you expect Mr. Watson to have designed something fun and exciting for you to work on as a reward for your hard work?
