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1. Round 2,345 yards to the nearest ten yards.

2. Round 59,825 feet to the nearest hundred feet.

3. A technician charges $34 per hour of labor. What is the final cost if the job takes 7 hours?

4. A piece of sheet metal measures 17 inches by 123 inches. Multiply these measurements to find the area.

Answer :

Let's solve each part of the question step-by-step.

1. Round 2,345 yards to the nearest ten yards:

To round to the nearest ten, we look at the ones digit, which is 5 in this case (2,345). Since 5 is 5 or more, we round up the tens digit by one. This changes the tens digit from 4 to 5 and turns the ones digit to 0.

So, 2,345 yards rounded to the nearest ten yards is 2,350.

2. Round 59,825 feet to the nearest hundred feet:

To round to the nearest hundred, we look at the tens digit, which is 2 in this case (59,825). Since 2 is less than 5, we round down, which means the hundreds digit stays the same and everything following turns to zero.

So, 59,825 feet rounded to the nearest hundred feet is 59,800.

3. Calculate the final cost for labor:

The technician charges [tex]$34 per hour, and the job takes 7 hours. To find the total cost, we multiply the hourly rate by the number of hours worked:

\[
34 \times 7 = 238
\]

Therefore, the final cost for labor is $[/tex]238.

4. Calculate the area of a sheet metal:

We have a piece of sheet metal that measures 17 inches by 123 inches. To find the area, we multiply the length by the width:

[tex]\[
17 \times 123 = 2,091
\][/tex]

Therefore, the area of the sheet metal is 2,091 square inches.

These solutions provide a clear breakdown of how the calculations were derived based on the details provided in the question.

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