3. In 2002, Home Depot’s sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000.
a. Write Home Depot’s 2002 sales and 2006 sales in scientific notation.
You can find the percent of growth in Home Depot’s sales from 2002 to 2006 by following these steps:
• Find the increase in sales from 2002 to 2006.
• Find what percent that increase is of the 2002 sales.
b. What was the percent growth in Home Depot’s sales from 2002 to 2006? Do all your work by using scientific notation.
a)
count the zeroes:
58,200,00,00 = 582x10^8 = 5.82x10^10
90,800,00,00 = 9.08x1010
b)
increase = 9.08-5.82 = 3.26x10^10
3.26/5.82 = 56%
You can fill in the powers of 10 as needed.
a. To write Home Depot's 2002 and 2006 sales in scientific notation, we need to represent the value of the sales in terms of a number between 1 and 10 multiplied by a power of 10.
2002 sales: $58,200,000,000 can be written as $5.82 x 10^10 in scientific notation. We move the decimal point to the left so that there is only one non-zero digit to the left of the decimal point, and the exponent represents the number of places we moved the decimal.
2006 sales: $90,800,000,000 can be written as $9.08 x 10^10 in scientific notation, following the same process.
b. To calculate the percent growth in Home Depot's sales from 2002 to 2006, we need to follow the steps provided:
Step 1: Find the increase in sales from 2002 to 2006.
To find the increase in sales, we subtract the 2002 sales from the 2006 sales:
$9.08 x 10^10 - $5.82 x 10^10 = $3.26 x 10^10
Step 2: Find what percent that increase is of the 2002 sales.
To find the percent increase, we divide the increase in sales by the 2002 sales and multiply by 100:
($3.26 x 10^10 / $5.82 x 10^10) * 100 = (3.26 / 5.82) * 100 = 0.559 * 100 = 55.9%
Therefore, the percent growth in Home Depot's sales from 2002 to 2006 is 55.9%.