Question

5.5 practice for use after lesson 5.5 use a 10 - by - 10 grid to model the percent. 1. 43% 2. 89% write the percent as a fraction or mixed number in simplest form. 3. 55% 4. 140% 5. 12.5% 6. 0.6%

Explanation:

Problem 1: Model 43% on a 10 - by - 10 grid

Step 1: Understand the grid

A 10 - by - 10 grid has a total of \(10\times10 = 100\) squares. Each square represents \(1\%\) of the whole (since \(\frac{1}{100}=1\%\)).

Step 2: Shade the squares

To model 43%, we need to shade 43 out of the 100 squares in the 10 - by - 10 grid.

Problem 2: Model 89% on a 10 - by - 10 grid

Step 1: Recall the grid total

A 10 - by - 10 grid has 100 squares, where each square is \(1\%\).

Step 2: Shade the appropriate squares

To represent 89%, we shade 89 of the 100 squares in the 10 - by - 10 grid.

Problem 3: Convert 55% to a fraction in simplest form

Step 1: Recall the definition of percent

Percent means "per hundred", so 55% can be written as \(\frac{55}{100}\).

Step 2: Simplify the fraction

Find the greatest common divisor (GCD) of 55 and 100. The factors of 55 are 1, 5, 11, 55. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD of 55 and 100 is 5.
Divide both the numerator and the denominator by 5: \(\frac{55\div5}{100\div5}=\frac{11}{20}\).

Answer:

\(\frac{11}{20}\)

Problem 4: Convert 140% to a mixed number in simplest form