Question

6.1 - fractions, decimals, and percents

1. write 39.2% as a decimal.

a 10 by 10 grid with squares shaded and of 1 square shaded.
options:
3.92
0.392
0.392
0.0392

Explanation:

Step1: Convert percent to decimal

To convert a percentage to a decimal, divide by 100, which is equivalent to moving the decimal point two places left.
$39.\overline{2}\% = \frac{39.\overline{2}}{100}$

Step2: Perform the division

Moving the decimal point two places left gives the decimal value.
$\frac{39.\overline{2}}{100} = 0.39\overline{2}$

For the grid model:

Step1: Interpret the decimal value

$0.39\overline{2}$ means 39 full hundredths and a repeating $\frac{2}{9}$ of an additional hundredth (since $\overline{2} = \frac{2}{9}$). A 10x10 grid has 100 total squares, each representing 0.01.

Step2: Assign grid values

39 full squares represent 0.39, and $\frac{2}{9}$ of one square represents the repeating $0.\overline{2}$ in the thousandths place (since $0.00\overline{2} = \frac{2}{9} \times 0.01$).

Answer:

1. $0.39\overline{2}$ (Option: $\boldsymbol{0.39\overline{2}}$)
2. A 10 by 10 grid with $\boldsymbol{39}$ squares shaded and $\boldsymbol{\frac{2}{9}}$ of 1 square shaded.