Question

1. fifty-four percent of the students in your class have moved at least one time. write this percent as a decimal.

answer:
*17. a. what number is halfway between 4 and 6?
b. what number is halfway between 4.5 and 6.7? (hint: add the numbers and divide by 2)
*19.
a. convert $2\frac{1}{2}$ to a decimal number.
b. write 3.75 as a reduced mixed number.

Explanation:

Question 15

Step1: Recall percent to decimal conversion

To convert a percent to a decimal, we divide the percent value by 100 (or move the decimal point two places to the left).
For 54%, we do \( 54\div100 \).

Step2: Perform the division

\( 54\div100 = 0.54 \)

Step1: Recall the formula for midpoint

The number halfway between two numbers \( a \) and \( b \) is the average of \( a \) and \( b \), given by \( \frac{a + b}{2} \).
Here, \( a = 4 \) and \( b = 6 \), so we calculate \( \frac{4 + 6}{2} \).

Step2: Calculate the sum and divide

First, \( 4+6 = 10 \). Then, \( \frac{10}{2}=5 \).

Step1: Use the midpoint formula

The formula for the number halfway between \( a \) and \( b \) is \( \frac{a + b}{2} \). Here, \( a = 4.5 \) and \( b = 6.7 \), so we calculate \( \frac{4.5+6.7}{2} \).

Step2: Add the numbers

\( 4.5 + 6.7=11.2 \).

Step3: Divide by 2

\( \frac{11.2}{2}=5.6 \).

Answer:

0.54

Question 17a