• The result of subtracting d from c produces a difference that represents how much larger c is than d.
• The result of multiplying c times d produces c copies of d (or d copies of c), or a value that is c times as large as d, or a value that is d times as large as c.
• The result of dividing c by d produces the relative size of c and d. By this we mean that the result tells you how many times as large c is as d. We can also say that the result is the value of c measured in units of d.
Apply the above guidelines when answering each part of the following questions.
Write an expression to represent each of the following relationships.
a. How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall.
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b. How many times as large 10 is as 2.
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c. How many times as tall Porter is as Henry, given that Porter is n inches tall and Henry is m inches tall.
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d. How many times as tall Henry is as Porter, given that Porter is n inches tall and Henry is m inches tall.
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e. The actual number of COVID-19 cases, which is 10 times as large as the number of positive test cases, x.
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f. How many hundred thousand people living in the world are living in poverty, given that n people in the world are living in poverty. (Hint: How many times as large is n as 100,000?)
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