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{3}{50}\\) and 0.06

Explanation:

Step 1: Set up long division

We want to divide 3 by 50. Since 3 is less than 50, we write it as \(3.00\) (adding two decimal places) and set up the division: \(50 \enclose{longdiv}{3.00}\)

Step 2: Divide

50 goes into 30 zero times, so we put a 0 above the first decimal place. Then we consider 300. 50 goes into 300 exactly 6 times (\(50 \times 6 = 300\)). So we write 6 above the second decimal place.

\[

$$\begin{array}{r} 0.06 \\ 50 \enclose{longdiv}{3.00} \\ \underline{0\phantom{.00}} \\ 30\phantom{0} \\ \underline{0\phantom{0}} \\ 300 \\ \underline{300} \\ 0 \\ \end{array}$$

\]

Answer:

Using long division, we divide 3 by 50. We add two decimal places to 3 (making it 3.00) and divide by 50. 50 goes into 300 (after accounting for the decimal) 6 times, resulting in 0.06. Thus, \(\frac{3}{50} = 0.06\).