Question

1.0.0 section review

1. given the number 92,475, which digit is in the ten - thousands place value column?

a. 2
b. 4
c. 7
d. 9

1. what is the distance around the foundation shown in figure sr01?

a. 206 feet
b. 214 feet
c. 224 feet
d. 234 feet

1. how many concrete blocks like the one shown in figure sr02 are required to erect a 2 high wall for the foundation shown in figure sr01? assume there is no waste. round the answer up to the nearest whole number. (hint: multiply the distance around the foundation by 12 to change it from feet to inches first.)

a. 336 blocks
b. 504 blocks
c. 514 blocks
d. 528 blocks

Explanation:

1.

Step1: Identify place - value positions

In the number 92,475, from right to left, the positions are units, tens, hundreds, thousands, ten - thousands.

Step2: Determine the digit in ten - thousands place

The digit in the ten - thousands place is 9.

Step1: Analyze the perimeter of the foundation

Add up the lengths of all the sides of the foundation.
\[46 + 30+8 + 10+20 + 8+8+38=206\]

Step1: Convert the perimeter to inches

The perimeter of the foundation is 206 feet. Since 1 foot = 12 inches, the perimeter in inches is \(206\times12 = 2472\) inches.

Step2: Calculate the number of blocks

The height of the wall is 2 feet or \(2\times12 = 24\) inches. The block height is 8 inches. The number of blocks in the height direction for each linear - inch of the perimeter is \(\frac{24}{8}=3\). The block length is 16 inches. The number of blocks along the perimeter is \(\frac{2472}{16}\times3=\frac{7416}{16}=463.5\). But we are building a 2 - foot high wall, so we multiply by 3. The number of blocks is \(\frac{206\times12}{16}\times3=\frac{2472}{16}\times3 = 463.5\times3=504\) (after rounding up to the nearest whole number).

Answer:

d. 9

2.