Previously we have discussed about rational expressions applications word problems and Friends today i am going to teach you one important topic of grade V of karnataka board namely percents and Fractions.A linear array of digits that represents a real number, every decimal place indicating a multiple of a negative power of 10. A number written using the base 10.
For example, the decimal 0.1 = 1/10, 0.12 = 12/100, 0.003 = 3/1000
A percent is a ratio whose second term is 100. Percent means parts per hundred. The word comes from the Latin phrase per centum, which means per hundred. In mathematics, we use the symbol % for percent.
Example of percents
23/100 =23%, 3/100 = 3%
In math fractions, the denominator tells us how many parts the whole is divided into, and the numerator tells us how many of those parts we're dealing with.the number above the bar is called the numerator, and the number below the bar is called the denominator.
Example : ¾ 3 is numerator and 4 is denominator
Every fraction can be converted to a decimal by dividing. If you use the calculator to divide 3 by 4, you'll find that it is equal to 0.75.
Here is a table of commonly occuring values shown in Percent, Decimal and Fraction form:
Percent-to-decimal conversions are easy; you mostly just move the decimal point two places. The way I keep it straight is to remember that50%, or one-half,. In other words, you have to move the decimal point two places to the left when you convert from a percent (50%) to a decimal (0.50). divide by 100, and remove the "%" sign. (Know more about Percentage ,click here),
Some more examples are
27% = 0.27
104% = 1.04
0.5% = 0.005
To convert from decimal to present in divide by 100, and remove the "%" sign. The easiest way to divide by 100 is to move the decimal point 2 places to the left.
Example
0.123 = 0.123/100 = 12.3
To convert fromFraction to Decimal the easiest way to convert a fraction to a decimal is to divide the top number by the bottom number (divide the numerator by the denominator in mathematical language)
Example: Convert 2/5 to a decimal
Divide 2 by 5: 2 ÷ 5 = 0.4
Answer: 2/5 = 0.4
To convert a decimal to fraction needs a little more work.
Example: To convert 0.75 to a fraction
First steps =0.75/1
= 0.75 × 100/ 1 × 100 Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc)
= ¾
To convert from fraction to percentage is to divide the top number by the bottom number than multiply the result by 100 and add the % sign,
Example: 38
First divide 3 by 8: 3 ÷ 8 = 0.375,
Then multiply by 100: 0.375 x 100 = 37.5
Add the "%" sign: and the answer is 37.5%
To convert from percentage to fraction first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).
Example 80% to convert in fraction
80/100 =0.80
0.8 × 10/ 1 × 10 Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc)
And the answer is =8/10 = 4/5
So here we end with Decimals, percents and fractions. I hope that this article will help you in solving problems Decimals, percents and fractions and If anyone wants to know about Percentages in Grade VI and also about LCM, GCF, ratios and proportions then they can refer Internet.
For example, the decimal 0.1 = 1/10, 0.12 = 12/100, 0.003 = 3/1000
A percent is a ratio whose second term is 100. Percent means parts per hundred. The word comes from the Latin phrase per centum, which means per hundred. In mathematics, we use the symbol % for percent.
Example of percents
23/100 =23%, 3/100 = 3%
In math fractions, the denominator tells us how many parts the whole is divided into, and the numerator tells us how many of those parts we're dealing with.the number above the bar is called the numerator, and the number below the bar is called the denominator.
Example : ¾ 3 is numerator and 4 is denominator
Here is a table of commonly occuring values shown in Percent, Decimal and Fraction form:
Percent Decimal Fraction
1% 0.1 1/100
10% 0.1 1/10
75% 0.75 3/4
Conversions from Percent to Decimal1% 0.1 1/100
10% 0.1 1/10
75% 0.75 3/4
Percent-to-decimal conversions are easy; you mostly just move the decimal point two places. The way I keep it straight is to remember that50%, or one-half,. In other words, you have to move the decimal point two places to the left when you convert from a percent (50%) to a decimal (0.50). divide by 100, and remove the "%" sign. (Know more about Percentage ,click here),
Some more examples are
27% = 0.27
104% = 1.04
0.5% = 0.005
To convert from decimal to present in divide by 100, and remove the "%" sign. The easiest way to divide by 100 is to move the decimal point 2 places to the left.
Example
0.123 = 0.123/100 = 12.3
To convert fromFraction to Decimal the easiest way to convert a fraction to a decimal is to divide the top number by the bottom number (divide the numerator by the denominator in mathematical language)
Example: Convert 2/5 to a decimal
Divide 2 by 5: 2 ÷ 5 = 0.4
Answer: 2/5 = 0.4
To convert a decimal to fraction needs a little more work.
Example: To convert 0.75 to a fraction
First steps =0.75/1
= 0.75 × 100/ 1 × 100 Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc)
= ¾
To convert from fraction to percentage is to divide the top number by the bottom number than multiply the result by 100 and add the % sign,
Example: 38
First divide 3 by 8: 3 ÷ 8 = 0.375,
Then multiply by 100: 0.375 x 100 = 37.5
Add the "%" sign: and the answer is 37.5%
To convert from percentage to fraction first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).
Example 80% to convert in fraction
80/100 =0.80
0.8 × 10/ 1 × 10 Then multiply top and bottom by 10 for every number after the decimal point (10 for 1 number, 100 for 2 numbers, etc)
And the answer is =8/10 = 4/5
So here we end with Decimals, percents and fractions. I hope that this article will help you in solving problems Decimals, percents and fractions and If anyone wants to know about Percentages in Grade VI and also about LCM, GCF, ratios and proportions then they can refer Internet.
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