Question

jacob knows that \\(\frac{1}{20}\\) means “1 divided by 20.” he uses this to find the decimal equivalent for \\(\frac{1}{20}\\). enter a digit into each box to complete his work. \\(\

$$\begin{array}{r}0.\\square\\square\\\\20\\overline{)1.00}\\\\-\\quad0\\\\\\hline\\quad1\\ 0\\\\-\\square\\square0\\\\\\hline\\end{array}$$

\\)

Explanation:

Step1: Divide 1.0 by 20

20 goes into 10 zero times, so we look at 100. $20 \times 5 = 100$, so the first decimal digit is 0, the second is 5.

Step2: Fill the subtraction box

The value to subtract from 100 is $20 \times 5 = 100$, so the boxes are 1 and 0.

Answer:

The top boxes (decimal digits) are 0 and 5, so the quotient is $0.05$.
The bottom subtraction boxes are 1 and 0, so we subtract $100$ from $100$.

Filled long division:

    0 . 0 5
20 | 1 . 0 0
    - 0
    -----
      1 0 0
    - 1 0 0
    -----
        0

Final decimal equivalent: $0.05$