Math Lesson 7
Using Very Small and Very Large Numbers

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Instruction 7-2

Estimate, Round Off, and Manipulate Very Small and Very Large Numbers | Percents and Their Interpretations | Positive Integer Powers of Non-negative Integers | Decimals, Fractions, Mixed Numbers, and Positive and Negative Integers on the Number Line | Summary

PERCENTS AND THEIR INTERPRETATIONS 
CA GR5 NS 1.2.

Percents, Decimals, and Fractions

A percentage of anything tells us how many parts in each hundred there are of the item we are referring to.

You can convert a percentage to a decimal by dividing the percentage by 100. So, 75% is equal to 0.75. Or you can convert a percent to a decimal, by moving the decimal point two places to the left.

Example 1 Write each percent as a decimal: 38%, 24%, 93%, and 6%

Solution

Percent Decimal
38% .38
24% .24
93% .93
6% .06

Therefore, to convert a decimal to a percentage, all you have to do is multiply by 100.

To change a percentage to a fraction by placing the percentage over 100:

Don’t forget to reduce!

To convert fractions to decimals, you divide the numerator by the denominator.

Since means 3 ÷ 15, you can carry out the division process and the result is a decimal:

To change a decimal to a fraction, read the decimal in words and substitute numerals for words.

0.43 reads forty-three hundredths =

0.625 reads six hundred twenty five thousandths =

This can be reduced: 

Digits to the left of the decimal remain as whole numbers. For example:

Worksheet 1 Percent to Decimal

Worksheet 2 Fraction to Percent 

Worksheet 3 Rewrite as a  Fraction

Worksheet 4 Write Fractions as a Percentage and a Decimal  

Worksheet 5 Write Numbers as Fractions and Decimals

Links for Students, Parents and Teachers

Now let's do Practice Exercise 7-2 (top). 

  

Next Page:  Positive Integer Powers of Non-negative Integers (top)