Estimate the factors and solve. Which expression has an estimated product of $60?
(29.5)(1.7)
(13.2)(4.5)
(4.67)(9.8)
(7.3)(8.52)
Answer (2)
The expression that has an estimated product of 60 is (29.5)(1.7). By rounding the factors to the nearest whole numbers and calculating the estimated products of each expression, we find that only (29.5)(1.7) yields 60. Other expressions yield estimated products of 65, 50, and 63, respectively.
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Round each factor to the nearest whole number.
Calculate the estimated product of each expression.
(29.5)(1.7) \approx (30)(2) = 60
The expression with an estimated product of 60 is ( 29.5 ) ( 1.7 ) .
Explanation
Understanding the Problem We are given four expressions and we need to estimate the factors in each expression to find which one has an estimated product of 60.
Rounding the Factors First, we round each factor in the expressions to the nearest whole number:
5 rounds to 30
7 rounds to 2
2 rounds to 13
5 rounds to 5
67 rounds to 5
8 rounds to 10
3 rounds to 7
52 rounds to 9
Calculating Estimated Products Next, we calculate the estimated product of each expression:
(29.5)(1.7) \approx (30)(2) = 60
(13.2)(4.5) \approx (13)(5) = 65
(4.67)(9.8) \approx (5)(10) = 50
(7.3)(8.52) \approx (7)(9) = 63
Identifying the Expression Finally, we compare the estimated products to 60 and identify the expression with the closest estimated product. The expression (29.5)(1.7) has an estimated product of 60.
Examples
Estimating products is useful in everyday situations such as grocery shopping. For example, if you want to buy 5 items that cost $2.95 each, you can estimate the total cost by multiplying 5 by 3, which gives you $15. This helps you quickly estimate the total cost without needing to do exact calculations.
