Section 1.5 Multiplication of Whole Numbers and Area 41 Solving an Application Involving Multiplication Example 9 The average weekly income for production workers is $489. How much does a production worker earn in 1 year (assume 52 weeks in 1 year). Solution: The value $489 per week is a unit rate. The total for 1 year is given by 4 4 TIP: This product can be estimated quickly by rounding the factors. 489 rounds to 52 rounds to The total yearly income is approximately $25,000. Estimating gives a quick approximation of a product. Furthermore, it also checks for the reasonableness of our exact product. In this case $25,000 is close to our exact value of $25,428. 6. Area of a Rectangle Another application of multiplication of whole numbers lies in finding the area of a region. Area measures the amount of surface contained within the region. For example, a square that is 1 in. by 1 in. occupies an area of 1 square inch, denoted as 1 in.2. Similarly, a square that is 1 centimeter (cm) by 1 cm occupies an area of 1 square centimeter. This is denoted by 1 cm2. 4 1 8 1 9 52 978 24450 25,428 $489 52. Answer 13. 2925 words 5 00 5 0 25 000 1 in. 1 square inch 1 in.2 1 in. 1 square centimeter 1 cm2 1 cm 1 cm The units of square inches and square centimeters and are called square units. To find the area of a region, measure the number of square units occupied in that region. For example, the region in Figure 1-4 occupies Area 6 cm2 2 cm 3 cm 6 cm2. 1in.2 cm22 The yearly total is $25,428. Figure 1-4 Skill Practice 13. Ella can type 65 words per minute. How many words can she type in 45 minutes?
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