Question

write the percent as a decimal or the decimal as a percent. use a model to represent the number

1. 63%
2. 0.21
3. 80%
4. 0.05
5. 47.4%
6. 0.999
7. 550%
8. 0.872

write the fraction as a decimal and a percent

1. \\(\frac{3}{10}\\)
2. \\(\frac{1}{10}\\)
3. \\(\frac{4}{5}\\)
4. \\(\frac{9}{20}\\)
5. \\(\frac{27}{50}\\)
6. \\(\frac{6}{25}\\)
7. \\(\frac{3}{2}\\)
8. \\(\frac{7}{8}\\)

Explanation:

Let's solve some of these problems step by step. We'll start with converting percents to decimals and decimals to percents, then fractions to decimals and percents.

Problem 1: Convert 63% to a decimal

Step 1: Recall the rule for converting percent to decimal

To convert a percent to a decimal, we divide by 100 (which is the same as moving the decimal point two places to the left).

Step 2: Apply the rule to 63%

$63\%=\frac{63}{100} = 0.63$

Step 1: Recall the rule for converting decimal to percent

To convert a decimal to a percent, we multiply by 100 (which is the same as moving the decimal point two places to the right) and add the percent sign.

Step 2: Apply the rule to 0.21

$0.21\times100 = 21\%$

Step 1: Convert fraction to decimal

To convert a fraction to a decimal, we perform the division. For $\frac{3}{10}$, we divide 3 by 10.
$3\div10 = 0.3$

Step 2: Convert decimal to percent

Now, convert the decimal 0.3 to a percent by multiplying by 100.
$0.3\times100 = 30\%$

Answer:

0.63

Problem 2: Convert 0.21 to a percent