Question

1. place value

write the value of the 7 in the number 4,731.92.

1. powers of 10

300 × 10² =

1. customary conversion

85 ft = __ yd __ ft

• 1 yard = 3 feet

1. multiplication

Explanation:

Question 2: Place Value

Step1: Identify the place of 7

In the number 4,731.92, the digit 7 is in the hundreds place (since from the right of the decimal, the places to the left are ones, tens, hundreds, thousands...; here, 4 is thousands, 7 is hundreds, 3 is tens, 1 is ones).

Step2: Determine the value

The value of a digit in the hundreds place is the digit multiplied by 100. So, \( 7 \times 100 = 700 \).

Step1: Calculate \( 10^2 \)

We know that \( 10^2 = 10 \times 10 = 100 \).

Step2: Multiply by 300

Now, multiply 300 by 100: \( 300 \times 100 = 30000 \).

Step1: Recall the conversion factor

We know that 1 yard = 3 feet. So, to convert feet to yards, we divide the number of feet by 3.

Step2: Divide 85 by 3

Divide 85 by 3: \( 85 \div 3 = 28 \) with a remainder of 1 (because \( 28 \times 3 = 84 \), and \( 85 - 84 = 1 \)). So, the number of yards is 28 and the remaining feet is 1.

Answer:

700

Question 3: Powers of 10