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In order to access this I need to be confident with:
Place ValueMultiplying and dividing 10, 100, 1000
Simplifying fractions Equivalent fractions Mixed number to improper fractions Addition and subtraction Fractions (numerator and denominator)Decimal to percent
Here you will learn about converting a decimal to percent.
Students will first learn about converting decimals to percents in 6th grade math as part of their work with ratios and proportional relationships and will expand that knowledge to solving problems such as finding the whole given a part and the percent or finding the part given the whole and the percent.
This will later be used to find percent increase/decrease in 7th grade.
What is decimal to percent?
Converting a decimal to percent is representing the decimal as a percentage without changing its value.
The word percent means one part out of one hundred, and you can use this information to express a decimal as a percent.
For example,
\begin{aligned} & 0.25=25 \% \\\\ & 0.45=45 \% \\\\ & 0.33333...=33.3 \% \\\\ & 0.8=80 \% \end{aligned}
What is decimal to percent?
Common Core State Standards
How does this apply to 6th grade math?
- Grade 6 – Ratios and Proportional Relationships (6.RP.A.3a)
Use ratio and rate reasoning to solve real-world and mathematical problems, for example, by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
How to convert a decimal to percent
In order to convert a decimal to a percent, you need to:
- Multiply the decimal by \bf{100} and add the percent sign ( \textbf{\%} ).
- Clearly state the answer showing ‘decimal’ = ‘percent’.
![[FREE] Converting Fractions, Decimals and Percents Check for Understanding Quiz (Grade 4 to 6)](https://thirdspacelearning.com/wp-content/uploads/2023/07/Converting-fractions-decimals-and-percents-check-for-understanding-quiz-listing-image-.png)
[FREE] Converting Fractions, Decimals and Percents Check for Understanding Quiz (Grade 4 to 6)
Use this quiz to check your grade 4 to 6 students’ understanding of converting fractions, decimals and percents. 10+ questions with answers covering a range of 4th, 5th and 6th grade converting fractions, decimals and percents topics to identify areas of strength and support!
DOWNLOAD FREE [FREE] Converting Fractions, Decimals and Percents Check for Understanding Quiz (Grade 4 to 6)
Use this quiz to check your grade 4 to 6 students’ understanding of converting fractions, decimals and percents. 10+ questions with answers covering a range of 4th, 5th and 6th grade converting fractions, decimals and percents topics to identify areas of strength and support!
DOWNLOAD FREEDecimal to percent examples
Example 1: converting a decimal to a percent
Convert 0.7 to a percent.
- Multiply the decimal by \bf{100} and add the percent sign ( \textbf{\%} ).
0.7\times100=70\%
The 7 has moved two places to the left. The decimal point does not move.
2Clearly state the answer showing ‘decimal’ = ‘percent’.
0.7=70\%
Example 2: converting a decimal to a percent
Convert 0.625 to a percent.
Multiply the decimal by \bf{100} and add the percent sign ( \textbf{\%} ).
0.625\times100
62.5\%
Clearly state the answer showing ‘decimal’ = ‘percent’.
0.625 =62.5\%
Example 3: converting a decimal to a percent (where the decimal is greater than 1 )
Convert 1.23 to a percent.
Multiply the decimal by \bf{100} and add the percent sign ( \textbf{\%} ).
1.23 \times 100=123\%
Clearly state the answer showing ‘decimal’ = ‘percent’.
1.23=123\%
Example 4: converting a decimal to a percent (involving thousandths)
Convert 0.006 to a percent.
Multiply the decimal by \bf{100} and add the percent sign ( \textbf{\%} ).
0.006 \times 100=0.6\%
Clearly state the answer showing ‘decimal’ = ‘percent’.
0.006=0.6\%
Example 5: converting a repeating decimal to a percent
Convert 0.\overline{2} to a percent.
Multiply the decimal by \bf{100} and add the percent sign ( \textbf{\%} ).
0.\overline{2} \times 100
For this step, you need to remember that the 2 is repeating; this means it is repeated infinitely.
For example, 0.\overline {2}=0.222222222222…
So when you multiply the repeating decimal by 100, you still have the repeating 2. Therefore,
0.\overline{2}\times100= 22.\overline{2}\%
Clearly state the answer showing ‘decimal’ = ‘percent’.
0.\overline{2}=22.\overline{2}\%
Example 6: converting a repeating decimal to a percent
Convert 0.\overline{142857} to a percent.
Multiply the decimal by \bf{100} and add the percent sign ( \textbf{\%} ).
0.\overline{142857} \times 100
For this step, you need to remember that the 142857 is repeating; this means it is repeated infinitely.
For example,
0.\overline{142857}=0.142857142857142857142857…
So,
0.\overline{142857} \times100=14.2857142857142857142857...
Therefore,
0.\overline{142857} \times 100=14.\overline{285714}
14.\overline{285714}\%
Clearly state the answer showing ‘decimal’ = ‘percent’.
0.\overline{142857} =14.\overline{285714}\%
Teaching tips for decimal to percent
- Use visual models such as hundreds grids or pie charts to illustrate the equivalence of decimals to percents and to demonstrate how both forms are ways to represent a part of a whole or a rate.
- Use real world contexts to demonstrate how decimals can be thought of as percentages.
- Conversion table worksheets for decimal to percent conversion have their place, but make sure that students have a conceptual understanding of the relationship between decimals and percentages.
Easy mistakes to make
- Mistakes with multiplication of \bf{100}
Often mistakes are made when multiplying a value by 100 by moving the digits the incorrect number of decimal places.
- Not adding a percent sign
Percents must end in a percentage symbol (\%).
For example,
50 is not a percentage but 50\% is.
- Not noticing a recurring decimal
Sometimes a repeating decimal is not immediately obvious.
For example,
\cfrac{1}{7}=0.142857142857142857...
Therefore,
\cfrac{1}{7}= 0.\overline{142857}
Related lessons on converting fractions, decimals, and percentages
Practice decimal to percent questions
1. Convert 0.1 to a percentage.
Start by multiplying the decimal value by 100.
0.1 \times 100
This gives you 10.
Add the percent sign to represent your answer as a percent.
10\% is your final answer.
0.1 = 10\%
2. Convert 0.4 to a percentage.
Start by multiplying the decimal value by 100.
0.4 \times 100
This gives you 40.
Add the percent sign to represent your answer as a percent.
40\% is your final answer.
3. Convert 1.1 to a percentage.
Start by multiplying the decimal value by 100.
1.1 \times 100
This gives you 110.
Add the percent sign to represent your answer as a percent.
110\% is your final answer.
4. Convert 0.006 to a percentage.
Start by multiplying the decimal value by 100.
0.006 \times 100
This gives you 0.6.
Add the percent sign to represent your answer as a percent.
0.6\% is your final answer.
5. Convert 30.05 to a percentage.
Start by multiplying the decimal value by 100.
30.05 \times 100
This gives you 3,005.
Add the percent sign to represent your answer as a percent.
3,005\% is your final answer.
6. Convert 0.\overline{4} to a percentage.
Start by multiplying the decimal value by 100.
0 .\overline{4} \times 100
This gives you 44.\overline{4}.
Add the percent sign to represent your answer as a percent.
4.\overline{4}\% is your final answer.
Decimal to percent FAQs
To convert a decimal to a percent, you multiply the decimal form of the number by 100 and add the percent symbol, or percentage sign (\%).
The repeating sequence should only be written once. If the repeating decimal value is the same digit, write one digit behind the decimal point with a line over the digit. If the repeating decimal is a sequence of three digits that repeat, write the three digits with a line over all of them.
If your decimal is greater than 1, your percent equivalent will be greater than 100\%.
If your decimal is less than 1, your percent equivalent will be less than 100\%.
If your decimal is equal to 1, your percent equivalent will be equal to 100\%.
The next lessons are
- Percent
- Compound measures
- Arithmetic
- Properties of equality
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