Question

1. write 49.92% as a decimal. describe a model to represent the number. a 10 by 10 grid with squares shaded and of 1 square shaded. 0.04992 \bigcirc 0.4992 \bigcirc 4.992 \bigcirc 499.29 \bigcirc

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 to the left.
$49.\overline{92}\% = \frac{49.\overline{92}}{100}$

Step2: Perform the division

Moving the decimal point of $49.\overline{92}$ two places left gives the decimal value.
$\frac{49.\overline{92}}{100} = 0.49\overline{92}$

A 10x10 grid has 100 total squares, representing 1 whole (100%). $49.\overline{92}\%$ means nearly 50% of the grid is shaded. 49 full squares represent 49%, and the repeating $0.\overline{92}$ of the 50th square represents the remaining portion of the percentage.

Answer:

0.49$\overline{92}$

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For the model part: