Goteachmaths.co.uk Increase/Decrease Quantities by a Percentage Multiplier – Complete Lesson Delete unwanted slides. To print handouts: File>Print>Print.

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goteachmaths.co.uk Increase/Decrease Quantities by a Percentage Multiplier – Complete Lesson Delete unwanted slides. To print handouts: File>Print>Print Current Slide

Increase / Decrease a Quantity by a Percentage Multiplier 23 November 201823 November 2018 Increase / Decrease a Quantity by a Percentage Multiplier

Converting Percentages RECALL 50 100 50% 0.5 75 100 75% 0.75 150 100 150% 1.50 265 1000 26.5% 0.265

Converting Percentages RECALL 50 100 50% 0.5 75 100 75% 0.75 150 100 150% 1.50 26 100 26% 0.26

What happens if something increases by 100%? % Change Multiplier +73.45% +46.6% +53% +45% +10% +/- 0% 1 -20% -35% -67% -81.5% -97.75% Increase Decrease Answers What happens if something increases by 100%?

What happens if something increases by 100%? % Change Multiplier +73.45% 1.7345 +46.6% 1.466 +53% 1.53 +45% 1.45 +10% 1.1 +/- 0% 1 -20% 0.8 -35% 0.65 -67% 0.33 -81.5% 0.185 -97.75% 0.0225 Increase Decrease Answers What happens if something increases by 100%?

150% of $300 1.5 x 300 = $450 I invested $300 and it increased by 50%. Convert to a decimal. 1.5 x 300 = $450 Multiplier

I invested $500 and it increased by 25%. 125% of $500 Convert to a decimal. 1.25 x 500 = $625 Multiplier

I invested $400 and it increased by 15%. 115% of $400 Convert to a decimal. 1.15 x 400 = $460

I invested $500 and it increased by 1.5%. 101.5% of $500 Convert to a decimal. 1.015 x 500 = $507.50

A $80 T-shirt increased in price by 50% Convert to a decimal Original Amount 80 New Percentage 150% Multiplier 1.5 Calculation 80 x 1.5 New Price $120

A $120 T-shirt increased in price by 30% Convert to a decimal Original Amount 120 New Percentage 130% Multiplier 1.3 Calculation 120 x 1.3 New Price $156

A $235 pair of shoes increased in price by 45%! Convert to a decimal Original Amount 235 New Percentage 145% Multiplier 1.45 Calculation 235 x 1.45 New Price $340.75

A $46.50 pair of shoes increased in price by 15.5% Convert to a decimal Original Amount 46.5 New Percentage 115.5% Multiplier 1.155 Calculation 46.5 x 1.155 New Price $53.71 2 d.p. Why?

80% of $400 0.8 x 400 = $320 I invested $400 and it decreased by 20%. What % will we have left? 80% of $400 Convert to a decimal. 0.8 x 400 = $320

60% of $200 0.6 x 200 = $120 I invested $200 and it decreased by 40%. What % will we have left? 60% of $200 Convert to a decimal. 0.6 x 200 = $120

85% of $300 0.85 x 300 = $255 I invested $300 and it decreased by 15%. What % will we have left? 85% of $300 Convert to a decimal. 0.85 x 300 = $255

68% of $700 0.68 x 700 = $476 I invested $700 and it decreased by 32%. What % will we have left? 68% of $700 Convert to a decimal. 0.68 x 700 = $476

I invested $320 and it decreased by 12.5%. What % will we have left? 87.5% of $320 Convert to a decimal. 0.875 x 320 = $280

A $70 pair of jeans were on sale. 30% off! A $70 pair of jeans were on sale. 30% off! What is the new price? Convert to a decimal Original Amount 70 New Percentage 70% Multiplier 0.7 Calculation 70 x 0.7 New Price $49

A $95 pair of jeans were on sale. 15% off! A $95 pair of jeans were on sale. 15% off! What is the new price? Convert to a decimal Original Amount 95 New Percentage 85% Multiplier 0.85 Calculation 95 x 0.85 New Price $80.75

A $647 TV was on sale. 17.5% off! What is the new price? 17.5% off! Convert to a decimal Original Amount 647 New Percentage 82.5% Multiplier 0.825 Calculation 647 x 0.825 New Price $533.78 2 d.p. Why?

A $837 TV was on sale. 13.25% off! What is the new price? 13.25% off! Convert to a decimal Original Amount 837 New Percentage 86.75% Multiplier 0.8675 Calculation 837 x 0.8675 New Price $726.10

$80 per Kg $102 per Kg $1080 per Kg Copper Aluminium Gold $120 per Kg + 17.5% Aluminium + 35% Gold $120 per Kg - 15% $800 per Kg $94 per Kg + 16% + 23.5% $240 per T - 17% Silver Nickel $12 per g $278.40 per T $54 per Kg Lead $14.82 per g $44.82 per Kg $58 per Kg - 13.6% Quartz - 38.56% $73 per g Lithium + 65.4% $125.39 per Kg $63.29 per g $95.93 per Kg $77.04 per Kg Cobalt

I invested $280 in an account that gives 3% interest every year. How much would I have after… 1 year? 2 years? 5 years?

I invested $280 in an account that gives 3% interest every year. How much would I have after… 1 year? 2 years? 5 years? $288.40 $297.05 $324.60

Increase a Quantity by a Percentage Multiplier Example: A pair of sneakers increases in price by 20%. They were $88. What is their new price? Original Amount 88 New Percentage 120% Multiplier 1.2 Calculation 88 x 1.2 New Price $105.60 Convert % to a decimal. A $75 pair of jeans increases in price by 30%. What is their new price? A $135 pair of boots increases in price by 55%. What is their new price? Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Draw the table in your book to find the new prices for these items. 1) A $56 pair of jeans increased in price by 33% 2) A $138 pair of shoes increased in price by 72% 3) A $346 bicycle increased in price by 12.5% 4) A $548 TV increased in price by 23.2% 5) A $43.50 T-shirt increased in price by 4% 6) A $256.75 games console increased in price by 7.25%

Increase a Quantity by a Percentage Multiplier Example: Example: A pair of sneakers increases in price by 20%. They were $88. What is their new price? A pair of sneakers increases in price by 20%. They were $88. What is their new price? Original Amount 88 New Percentage 120% Multiplier 1.2 Calculation 88 x 1.2 New Price $105.60 Original Amount 88 New Percentage 120% Multiplier 1.2 Calculation 88 x 1.2 New Price $105.60 Convert % to a decimal. Convert % to a decimal. A $75 pair of jeans increases in price by 30%. What is their new price? A $135 pair of boots increases in price by 55%. What is their new price? A $75 pair of jeans increases in price by 30%. What is their new price? A $135 pair of boots increases in price by 55%. What is their new price? Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Draw the table in your book to find the new prices for these items. Draw the table in your book to find the new prices for these items. 1) A $56 pair of jeans increased in price by 33% 1) A $56 pair of jeans increased in price by 33% 2) A $138 pair of shoes increased in price by 72% 2) A $138 pair of shoes increased in price by 72% 3) A $346 bicycle increased in price by 12.5% 3) A $346 bicycle increased in price by 12.5% 4) A $548 TV increased in price by 23.2% 4) A $548 TV increased in price by 23.2% 5) A $43.50 T-shirt increased in price by 4% 5) A $43.50 T-shirt increased in price by 4% 6) A $256.75 games console increased in price by 7.25% 6) A $256.75 games console increased in price by 7.25%

Increase a Quantity by a Percentage Multiplier Example: A pair of sneakers increases in price by 20%. They were $88. What is their new price? Original Amount 88 New Percentage 120% Multiplier 1.2 Calculation 88 x 1.2 New Price $105.60 Answers Convert % to a decimal. A $75 pair of jeans increases in price by 30%. What is their new price? A $135 pair of boots increases in price by 55%. What is their new price? Original Amount 75 New Percentage 130% Multiplier 1.3 Calculation 75 x 1.3 New Price $97.50 Original Amount 135 New Percentage 155% Multiplier 1.55 Calculation 135 x 1.55 New Price $209.25 Draw the table in your book to find the new prices for these items. 1) A $56 pair of jeans increased in price by 33% $74.48 2) A $138 pair of shoes increased in price by 72% $237.36 3) A $346 bicycle increased in price by 12.5% $389.25 4) A $548 TV increased in price by 23.2% $675.14 5) A $43.50 T-shirt increased in price by 4% $45.24 $275.36 6) A $256.75 games console increased in price by 7.25%

Decrease a Quantity by a Percentage Multiplier Example: A TV is on sale! 40% off! It was $450 What is its new price? 100% minus the discount. Original Amount 450 New Percentage 60% Multiplier 0.6 Calculation 450 x 0.6 New Price $270 Less than 1 for a decrease. A $130 pair of shoes is on sale. 60% off! What is their new price? A $560 TV is on sale. 35% off! What is their new price? Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Use the method to complete this table. Item Price ($) Discount New Price ($) Pair of sneakers 84 15% Computer 470 35% Calculator 95 25.5% T-shirt 46 43.5% Dress 175 5.7% Bicycle 346 88.23%!

Decrease a Quantity by a Percentage Multiplier Example: Example: A TV is on sale! 40% off! It was $450 What is its new price? A TV is on sale! 40% off! It was $450 What is its new price? 100% minus the discount. Original Amount 450 New Percentage 60% Multiplier 0.6 Calculation 450 x 0.6 New Price $270 100% minus the discount. Original Amount 450 New Percentage 60% Multiplier 0.6 Calculation 450 x 0.6 New Price $270 Less than 1 for a decrease. Less than 1 for a decrease. A $130 pair of shoes is on sale. 60% off! What is their new price? A $560 TV is on sale. 35% off! What is their new price? A $130 pair of shoes is on sale. 60% off! What is their new price? A $560 TV is on sale. 35% off! What is their new price? Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Use the method to complete this table. Use the method to complete this table. Item Price ($) Discount New Price ($) Pair of sneakers 84 15% Computer 470 35% Calculator 95 25.5% T-shirt 46 43.5% Dress 175 5.7% Bicycle 346 88.23%! Item Price ($) Discount New Price ($) Pair of sneakers 84 15% Computer 470 35% Calculator 95 25.5% T-shirt 46 43.5% Dress 175 5.7% Bicycle 346 88.23%!

Answers Decrease a Quantity by a Percentage Multiplier Example: A TV is on sale! 40% off! It was $450 What is its new price? 100% minus the discount. Original Amount 450 New Percentage 60% Multiplier 0.6 Calculation 450 x 0.6 New Price $270 Less than 1 for a decrease. Answers A $130 pair of shoes is on sale. 60% off! What is their new price? A $560 TV is on sale. 35% off! What is their new price? Original Amount 130 New Percentage 40% Multiplier 0.4 Calculation 130 x 0.4 New Price $52 Original Amount 560 New Percentage 65% Multiplier 0.65 Calculation 560 x 0.65 New Price $364 Use the method to complete this table. Item Price ($) Discount New Price ($) Pair of sneakers 84 15% 71.40 Computer 470 35% 305.50 Calculator 95 25.5% 70.78 T-shirt 46 43.5% 25.99 Dress 175 5.7% 165.03 Bicycle 346 88.23%! 40.72

Increase a Quantity by a Percentage Multiplier Decrease a Quantity by a Percentage Multiplier Example: Example: A TV is on sale! 40% off! It was $450 What is its new price? A pair of sneakers increases in price by 20%. They were $88. What is their new price? Original Amount 88 New Percentage 120% Multiplier 1.2 Calculation 88 x 1.2 New Price $105.60 100% minus the discount. Original Amount 450 New Percentage 60% Multiplier 0.6 Calculation 450 x 0.6 New Price $270 Convert % to a decimal. Less than 1 for a decrease. A $75 pair of jeans increases in price by 30%. What is their new price? A $135 pair of boots increases in price by 55%. What is their new price? A $130 pair of shoes is on sale. 60% off! What is their new price? A $560 TV is on sale. 35% off! What is their new price? Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Original Amount New Percentage Multiplier Calculation New Price Use the method to complete this table. Draw the table in your book to find the new prices for these items. Item Price ($) Discount New Price ($) Pair of sneakers 84 15% Computer 470 35% Calculator 95 25.5% T-shirt 46 43.5% Dress 175 5.7% Bicycle 346 88.23%! 1) A $56 pair of jeans increased in price by 33% 2) A $138 pair of shoes increased in price by 72% 3) A $346 bicycle increased in price by 12.5% 4) A $548 TV increased in price by 23.2% 5) A $43.50 T-shirt increased in price by 4% 6) A $256.75 games console increased in price by 7.25%

Increase a Quantity by a Percentage Multiplier Decrease a Quantity by a Percentage Multiplier Example: Example: A TV is on sale! 40% off! It was $450 What is its new price? A pair of sneakers increases in price by 20%. They were $88. What is their new price? Original Amount 88 New Percentage 120% Multiplier 1.2 Calculation 88 x 1.2 New Price $105.60 100% minus the discount. Original Amount 450 New Percentage 60% Multiplier 0.6 Calculation 450 x 0.6 New Price $270 Convert % to a decimal. Less than 1 for a decrease. Answers A $75 pair of jeans increases in price by 30%. What is their new price? A $135 pair of boots increases in price by 55%. What is their new price? A $130 pair of shoes is on sale. 60% off! What is their new price? A $560 TV is on sale. 35% off! What is their new price? Original Amount 75 New Percentage 130% Multiplier 1.3 Calculation 75 x 1.3 New Price $97.50 Original Amount 135 New Percentage 155% Multiplier 1.55 Calculation 135 x 1.55 New Price $209.25 Original Amount 130 New Percentage 40% Multiplier 0.4 Calculation 130 x 0.4 New Price $52 Original Amount 560 New Percentage 65% Multiplier 0.65 Calculation 560 x 0.65 New Price $364 Use the method to complete this table. Draw the table in your book to find the new prices for these items. Item Price ($) Discount New Price ($) Pair of sneakers 84 15% 71.40 Computer 470 35% 305.50 Calculator 95 25.5% 70.78 T-shirt 46 43.5% 25.99 Dress 175 5.7% 165.03 Bicycle 346 88.23%! 40.72 1) A $56 pair of jeans increased in price by 33% $74.48 2) A $138 pair of shoes increased in price by 72% $237.36 3) A $346 bicycle increased in price by 12.5% $389.25 4) A $548 TV increased in price by 23.2% $675.14 5) A $43.50 T-shirt increased in price by 4% $45.24 $275.36 6) A $256.75 games console increased in price by 7.25%

Check your success! I can calculate percentage increase multipliers. I can calculate percentage decrease multipliers. I can use percentage multipliers to increase and decrease a quantity.

Check your success! I can calculate percentage increase multipliers. I can calculate percentage decrease multipliers. I can use percentage multipliers to increase and decrease a quantity.

Write a text message to a friend describing: How to increase $250 by 11% using a calculator.