It’s time for Spiral Review! This review will help you remember some of the things you have already learned. Take your time and try your best.

Question

What is 0.574 rounded to the nearest hundredth?
A carpenter cuts 3.7 feet from a board that is 10.9 feet long. Which is the best estimate of the length of the remaining board?
4 feet
7 feet
11 feet
15 feet

Answer 1

To answer your questions:

1. Rounding 0.574 to the nearest hundredth: The hundredth place is the second digit after the decimal point, which in this case is 7. The next digit (the thousandths place) is 4. Since 4 is less than 5, we do not round up. Therefore, 0.574 rounded to the nearest hundredth is 0.57.

2. Estimating the length of the remaining board after cutting: The initial length of the board is 10.9 feet. When we cut 3.7 feet from it, we can estimate it as follows:

   • 10.9 feet is approximately 11 feet.
   • 3.7 feet is approximately 4 feet.

   So, if we subtract the estimated cut from the estimated total: \( 11 , \text{feet} - 4 , \text{feet} \approx 7 , \text{feet} \).

Therefore, the best estimate of the length of the remaining board is 7 feet.