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Working with percentages is a concept which involves a variety of mathematical knowledge (addition, subtraction, multiplication, knowledge of multiplication facts, division, fractions, equivalent fractions, decimals, formulas and calculator use, just to name a few!!!!).
These worksheets on percentages are designed to assist the students with a variety of ways to work out percentages of a number. Below is a list of strategies covered when considering the concept percentages.
- developing an understanding of equivalent fractions.
- converting fractions and decimals to percentages.
- working out percentages using 10%’s and 5%’s: 10% of $80 = 8 = $8.
5% is 1/2 of 10%, therefore 5% of $80 = $4
- changing percentages to fractions: ie 25% = 1/4 , 20% = 1/5 , 50% = 1/2 , 75% = 3/4
- using fractions to work out 1% of a given number. ie: 1% of $50 = 50/100 = .50 = 50c
- moving the decimal point to find the percentage of a number. ie: moving the decimal point one spot to the left for working out 10% of a number and moving the decimal point two places to the left to work out 1% of a number.
- Percentages: using a formula with fractions that have a denominator other than 100. Sometimes a formula (with an understanding of equivalent fractions and division) is required to work out the percentage. For instance, test scores. ie: 45 out of 65 = 69.23%
- Using a calculator without using a formula with fractions that have a denominator other than 100. Simply divide the numerator by the denominator and multiply by 100.
ie - 45 out of 65 = .6923 x 100 = 69.23%
- Using a calculator to work out the new price of a discounted item. Simply type in the amount, press the minus key, type in the discount price then press the percent key.
- students to choose their preferred way to work out percentages when solving word problems.
- percentages: how to work out, by what percentage an item has increased or decreased.