QUESTION IMAGE
Question
journal
define percent in your own words. then, describe how to write fractions and decimals as percents.
remember
a percent is a part - to - whole relationship with a whole of 100. to convert a decimal to a percent, multiply the decimal by 100. to convert a percent to a decimal, divide the percent by 100.
practice
1 label each mark on the number line with a fraction, decimal, and percent.
fraction: 0, $\frac{1}{5}$, __, $\frac{3}{5}$, __, 1
decimal: 0.0, __, 0.4, , __, 1.0
percent: 0%, __, , __, 80%, 100%
2 the table shows the portion of sixth - graders at a school who have a particular number of siblings. complete the table by representing each portion as a part - to - whole ratio, a fraction, a decimal, and a percent.
| number of siblings | ratio | fraction | decimal | percent |
|---|---|---|---|---|
| 1 | $\frac{1}{5}$ | 20% | ||
| 2 | 3:8 | $\frac{3}{8}$ | ||
| $\frac{6}{25}$ | 0.24 | |||
| 4 or more | $\frac{7}{200}$ |
Problem 1: Labeling the Number Line
Step 1: Analyze the first missing value (fraction for 0.4)
The decimal is 0.4. To convert to a fraction, we know that 0.4 = $\frac{4}{10}$ = $\frac{2}{5}$. So the fraction is $\frac{2}{5}$.
Step 2: Convert $\frac{1}{5}$ to decimal and percent
- Decimal: $\frac{1}{5}$ = 1 ÷ 5 = 0.2
- Percent: 0.2 × 100 = 20%
Step 3: Convert 0.4 to percent
0.4 × 100 = 40%, so the percent is 40%.
Step 4: Convert $\frac{3}{5}$ to decimal and percent
- Decimal: $\frac{3}{5}$ = 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%
Step 5: Analyze the 80% value
- Decimal: 80% ÷ 100 = 0.8
- Fraction: 0.8 = $\frac{8}{10}$ = $\frac{4}{5}$
Filling the Table:
| Fraction | 0 | $\frac{1}{5}$ | $\frac{2}{5}$ | $\frac{3}{5}$ | $\frac{4}{5}$ | 1 |
|---|---|---|---|---|---|---|
| Percent | 0% | 20% | 40% | 60% | 80% | 100% |
Problem 2: Completing the Siblings Table
For 0 siblings:
- Ratio: 3:20 (since fraction is $\frac{3}{20}$)
- Decimal: $\frac{3}{20}$ = 3 ÷ 20 = 0.15
- Percent: 0.15 × 100 = 15%
For 1 sibling:
- Ratio: 1:5 (since fraction is $\frac{1}{5}$)
- Decimal: $\frac{1}{5}$ = 1 ÷ 5 = 0.2
For 2 siblings:
- Decimal: $\frac{3}{8}$ = 3 ÷ 8 = 0.375
- Percent: 0.375 × 100 = 37.5%
For the $\frac{6}{25}$ row:
- Ratio: 6:25 (since fraction is $\frac{6}{25}$)
- Percent: 0.24 × 100 = 24%
For 4 or more siblings:
- Decimal: $\frac{7}{200}$ = 7 ÷ 200 = 0.035
- Percent: 0.035 × 100 = 3.5%
- Ratio: 7:200 (since fraction is $\frac{7}{200}$)
Filling the Siblings Table:
| Number of Siblings | Ratio | Fraction | Decimal | Percent |
|---|---|---|---|---|
| 1 | 1:5 | $\frac{1}{5}$ | 0.2 | 20% |
| 2 | 3:8 | $\frac{3}{8}$ | 0.375 | 37.5% |
| 3 | 6:25 | $\frac{6}{25}$ | 0.24 | 24% |
| 4 or more | 7:200 | $\frac{7}{200}$ | 0.035 | 3.5% |
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
Problem 1: Labeling the Number Line
Step 1: Analyze the first missing value (fraction for 0.4)
The decimal is 0.4. To convert to a fraction, we know that 0.4 = $\frac{4}{10}$ = $\frac{2}{5}$. So the fraction is $\frac{2}{5}$.
Step 2: Convert $\frac{1}{5}$ to decimal and percent
- Decimal: $\frac{1}{5}$ = 1 ÷ 5 = 0.2
- Percent: 0.2 × 100 = 20%
Step 3: Convert 0.4 to percent
0.4 × 100 = 40%, so the percent is 40%.
Step 4: Convert $\frac{3}{5}$ to decimal and percent
- Decimal: $\frac{3}{5}$ = 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%
Step 5: Analyze the 80% value
- Decimal: 80% ÷ 100 = 0.8
- Fraction: 0.8 = $\frac{8}{10}$ = $\frac{4}{5}$
Filling the Table:
| Fraction | 0 | $\frac{1}{5}$ | $\frac{2}{5}$ | $\frac{3}{5}$ | $\frac{4}{5}$ | 1 |
|---|---|---|---|---|---|---|
| Percent | 0% | 20% | 40% | 60% | 80% | 100% |
Problem 2: Completing the Siblings Table
For 0 siblings:
- Ratio: 3:20 (since fraction is $\frac{3}{20}$)
- Decimal: $\frac{3}{20}$ = 3 ÷ 20 = 0.15
- Percent: 0.15 × 100 = 15%
For 1 sibling:
- Ratio: 1:5 (since fraction is $\frac{1}{5}$)
- Decimal: $\frac{1}{5}$ = 1 ÷ 5 = 0.2
For 2 siblings:
- Decimal: $\frac{3}{8}$ = 3 ÷ 8 = 0.375
- Percent: 0.375 × 100 = 37.5%
For the $\frac{6}{25}$ row:
- Ratio: 6:25 (since fraction is $\frac{6}{25}$)
- Percent: 0.24 × 100 = 24%
For 4 or more siblings:
- Decimal: $\frac{7}{200}$ = 7 ÷ 200 = 0.035
- Percent: 0.035 × 100 = 3.5%
- Ratio: 7:200 (since fraction is $\frac{7}{200}$)
Filling the Siblings Table:
| Number of Siblings | Ratio | Fraction | Decimal | Percent |
|---|---|---|---|---|
| 1 | 1:5 | $\frac{1}{5}$ | 0.2 | 20% |
| 2 | 3:8 | $\frac{3}{8}$ | 0.375 | 37.5% |
| 3 | 6:25 | $\frac{6}{25}$ | 0.24 | 24% |
| 4 or more | 7:200 | $\frac{7}{200}$ | 0.035 | 3.5% |