Question

use long division to show that the fraction and decimal in the pair are equal.
use the sketch tool or upload a photo of your work on paper.
\\(\frac{7}{25}\\) and 0.28

Explanation:

Step1: Set up long division

We want to divide 7 by 25. So we write it as \( 25 \enclose{longdiv}{7.00} \) (we add two decimal places because we expect a two - decimal - place result, but we can add more if needed). Since 25 is larger than 7, we put a 0 before the decimal point and then consider 70 (by adding a decimal point and a zero to 7, making it 7.0).

Step2: First division step

We ask how many times 25 goes into 70. \( 25\times2 = 50 \), \( 25\times3=75 \) which is too big. So we put 2 above the 0 in the tenths place. Then we subtract \( 70 - 50=20 \).

Step3: Second division step

Bring down a 0 (from the hundredths place) to make 200. Now we ask how many times 25 goes into 200. \( 25\times8 = 200 \). So we put 8 above the 0 in the hundredths place. Then we subtract \( 200 - 200 = 0 \).
So when we do \( 7\div25 \), we get 0.28.

Answer:

By long division, we have shown that \( \frac{7}{25}=0.28 \) (the long - division steps are as follows: \( 25 \enclose{longdiv}{7.00} \), first we see that \( 25\times0 = 0 \) (for the ones place), then for the tenths place, \( 25\times2 = 50 \), \( 70 - 50 = 20 \), bring down a 0 to get 200, and \( 25\times8=200 \), so the result is 0.28, which is equal to the given decimal 0.28).