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miller_prealgebra_2e_ch1_3

40 Chapter 1 Whole Numbers 12 2 24 Notice in each case the product is followed by the total number of zeros from each factor. Consider the product 1200 20. Shift the numbers 1200 and 20 so that the zeros appear to the right of the multiplication process. Multiply Write the product 24 followed by the total number of zeros from each factor. Estimating a Product 12 00 2 0 24 000 Example 7 12 2 24. Estimate the product 795(4060) by rounding 795 to the nearest hundred and 4060 to the nearest thousand. Solution: 795 rounds to 800 4060 rounds to 4000 The product is approximately 3,200,000. 8 00 4 000 32 00000 Estimating a Product in an Application Example 8 For a trip from Atlanta to Los Angeles, the average cost of a plane ticket was $495. If the plane carried 218 passengers, estimate the total revenue for the airline. (Hint: Round each number to the hundreds place and find the product.) Solution: $495 rounds to 218 rounds to The airline received approximately $100,000 in revenue. 5. Applications Involving Multiplication In English there are many different words that imply multiplication. A partial list is given in Table 1-3. Answers 11. 360,000 12. $2,550,000 $ 5 00 2 00 $10 0000 Table 1-3 Word/Phrase Example In Symbols Product The product of 4 and 7 4 7 Times 8 times 4 8 4 Multiply . . . by . . . Multiply 6 by 3 6 3 Multiplication may also be warranted in applications involving unit rates. In Example 8, we multiplied the cost per customer ($495) by the number of customers (218). The value $495 is a unit rate because it gives the cost per one customer (per one unit). Skill Practice 11. Estimate the product 421(869) by rounding each factor to the nearest hundred. Skill Practice 12. A small newspaper has 16,850 subscribers. Each subscription costs $149 per year. Estimate the revenue for the year by rounding the number of subscriptions to the nearest thousand and the cost to the nearest ten.


miller_prealgebra_2e_ch1_3
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