PERCENTS GREATER THAN 100 AND LESS THAN 1

Percents Greater than 100 and Less than 1 :

In this section, we will learn, how to find whether a percent is greater than 100 or less than 1.

How to find whether a percent is greater than 100 or less than 1?

In a fraction, when the numerator is bigger than the denominator, the percent is greater than 100%.

In a fraction, when the numerator is smaller than the denominator, the percent is either between 1% and 100 % or less than 1 %.

To make sure that the given fraction is less than 1%, better convert the given fraction into decimal and then convert into percent.

In decimal, when the given value is greater than 1, the percent is greater than 100%.

In decimal, when the given value is less than 1, the percent is either between 1% and 100% or less than      1%.

To make sure that the given decimal is less than 1%, better convert the given decimal into percent.

All mixed numbers/fractions are greater than 100%

Percents Greater than 100 and Less than 1 - Examples

Example 1 :

Classify the fraction 17 / 5 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

In the fraction 17 / 5, the numerator is greater than denominator.

So the fraction 17 / 5 is greater than 100%.

More clearly, In the above calculation, the fraction 17 / 5 is equal to 340% which is greater than 100%.

Example 2 :

Classify the fraction 7 / 25 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

In the fraction 7 / 25, the numerator is less than denominator.

From the above point, all we can conclude is, the fraction 7 / 25 is not greater than 100%.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given fraction into percent as given below. In the above calculation, the fraction 7 / 25 is equal to 28% which is between 1% and 100%.

Example 3 :

Classify the fraction 3 / 8 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

In the fraction 3 / 8, the numerator is less than denominator.

From the above point, all we can conclude is, the fraction 3 / 8 is not greater than 100%.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given fraction into percent as given below. In the above calculation, the fraction 3 / 8 is equal to 37.5% which is between 1% and 100%.

Example 4 :

Classify the fraction 13 / 8 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

In the fraction 13 / 8, the numerator is greater than denominator.

So the fraction 13 / 8 is greater than 100%.

More clearly, In the above calculation, the fraction 13 / 8 is equal to 162.5% which is between 1% and 100%.

Example 5 :

Classify the fraction 3 / 800 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

In the fraction 3 / 800, the numerator is less than denominator.

From the above point, all we can conclude is, the fraction 3 / 800 is greater than 100%.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given fraction into percent as given below. In the above calculation, the fraction 3 / 800 is equal to 0.375% which is less than 100%.

Example 6 :

Classify the decimal  2.742 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

The value of the given decimal is greater than 1.

So, it is greater than 100%

More clearly, In the above calculation, the decimal 2.742 is equal to 274.2% which is greater than 100%.

Example 7 :

Classify the decimal  0.2742 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

The value of the given decimal is less than 1.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given decimal into percent as given below. In the above calculation, the decimal 0.2742  is equal to 27.42% which is between 1% and 100%.

Example 8 :

Classify the decimal  0.0032 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

The value of the given decimal is less than 1.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given decimal into percent as given below. In the above calculation, the decimal 0.0032 is equal to 0.32% which is less than 1%.

Example 9 :

Classify the decimal  0.032 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

The value of the given decimal is less than 1.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given decimal into percent as given below. In the above calculation, the decimal 0.0.032  is equal to 3.2% which is between 1% and 100%.

Example 10 :

Classify the decimal  0.32 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

Solution :

The value of the given decimal is less than 1.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given decimal into percent as given below. In the above calculation, the decimal 0.0.32  is equal to 32% which is between 1% and 100%. After having gone through the stuff given above, we hope that the students would have understood, how to solve problems on percents greater than 100 and less than 1.

Apart from the stuff given in this section if you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 