Pregunta
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Estimate each of the following by first rounding each amount to the nearest dollar before calculating. a pens at \( \$ 4.27 \) each b the total of \( \$ 5.99, \$ 4.78 \) and \( \$ 12.09 \) c \( \$ 56.67 \) divided into three equal groups d \( \$ 569.34 \) less \( \$ 123.85 \) d

Ask by Cook Park. in Australia
Feb 26,2025

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- a. Each pen costs approximately \$4. - b. The total is about \$23. - c. Each group gets about \$19. - d. The difference is approximately \$445.

Solución

Let's solve each part step by step by first rounding the amounts to the nearest dollar. ### a. Pens at \( \$ 4.27 \) each 1. Round \( 4.27 \) to the nearest dollar: - \( 4.27 \) rounds to \( 4 \). 2. If we assume we want to buy \( n \) pens, the total cost would be \( 4n \). ### b. The total of \( \$ 5.99, \$ 4.78 \), and \( \$ 12.09 \) 1. Round each amount: - \( 5.99 \) rounds to \( 6 \). - \( 4.78 \) rounds to \( 5 \). - \( 12.09 \) rounds to \( 12 \). 2. Calculate the total: \[ 6 + 5 + 12 = 23 \] ### c. \( \$ 56.67 \) divided into three equal groups 1. Round \( 56.67 \) to the nearest dollar: - \( 56.67 \) rounds to \( 57 \). 2. Divide by \( 3 \): \[ \frac{57}{3} = 19 \] ### d. \( \$ 569.34 \) less \( \$ 123.85 \) 1. Round each amount: - \( 569.34 \) rounds to \( 569 \). - \( 123.85 \) rounds to \( 124 \). 2. Calculate the difference: \[ 569 - 124 = 445 \] ### Summary of Estimates - a. Total cost of pens: \( 4n \) (depends on the number of pens) - b. Total of \( \$ 5.99, \$ 4.78, \) and \( \$ 12.09 \): \( 23 \) - c. \( \$ 56.67 \) divided into three equal groups: \( 19 \) - d. \( \$ 569.34 \) less \( \$ 123.85 \): \( 445 \)

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The Deep Dive

To estimate each amount, let’s round to the nearest dollar first! For the mass of pens at \( \$ 4.27 \), rounding gives you \( \$ 4 \) each. So if you were looking at, say, \( 10 \) pens, the estimated total cost would be \( 10 \times 4 = \$ 40 \). Now, for the total of \( \$ 5.99, \$ 4.78, \) and \( \$ 12.09 \), rounding them gives: \( \$ 6, \$ 5, \) and \( \$ 12 \) respectively. Adding those together, you get \( 6 + 5 + 12 = \$ 23 \). Next, for dividing \( \$ 56.67 \) into three equal groups, rounded, that’s \( \$ 57 \div 3 = \$ 19 \) each. Lastly, when finding \( \$ 569.34 \) less \( \$ 123.85 \), we round to \( \$ 569 \) and \( \$ 124 \), leading to \( 569 - 124 = \$ 445 \). There you go—a simple and effective way to estimate costs with rounded values!

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