Download presentation

Presentation is loading. Please wait.

1
**Percentage Multipliers**

© T Madas

2
**To convert a decimal into a percentage, you multiply the decimal by 100**

To convert a percentage into a decimal, you divide the percentage by 100 x 100 ÷ 100 0.3 30% 40% 0.4 x 100 ÷ 100 0.45 45% 6% 0.06 x 100 ÷ 100 0.05 5% 200% 2 x 100 ÷ 100 1.5 150% 800% 8 x 100 ÷ 100 4 400% 17.5% 0.175 x 100 ÷ 100 0.318 31.8% 34.9% 0.349 © T Madas

3
**We can use multipliers in calculations:**

The decimal form of a percentage is also known as the percentage multiplier. We can use multipliers in calculations: To convert a decimal into a percentage, you multiply the decimal by 100 To convert a percentage into a decimal, you divide the percentage by 100 25% = 13% 72.5% = 13.2% 6.6% = 220% 0.5% = 0.25 = 0.13 0.725 = 0.132 0.066 = 2.2 0.005 Find 25% of 456 0.25 x 456 = 114 Find 37% of 514 0.37 x 514 = Find 6% of 348 0.06 x 348 = 20.88 © T Madas

4
**We can use multipliers in calculations:**

The decimal form of a percentage is also known as the percentage multiplier. We can use multipliers in calculations: 25% = 13% 72.5% = 13.2% 6.6% = 220% 0.5% = 0.25 = 0.13 0.725 = 0.132 0.066 = 2.2 0.005 Find 7.5% of 124 0.075 x 124 = 9.3 Find 200% of 356 2 x 356 = 712 © T Madas

5
Calculating Percentages using Multipliers © T Madas

6
**Practice on using Percentage Multipliers**

Calculate the following percentages by using multipliers: 35% of 124: 43% of 220: 74% of 350: 13% of 270: 29% of 260: 65% of 480: 5% of 185: 7% of 631: 7.5% of 440: 5.5% of 820: 0.35 0.43 0.74 0.13 0.29 0.65 0.05 0.07 0.075 0.055 x 124 = x 220 = x 350 = x 270 = x 260 = x 480 = x 185 = x 631 = x 440 = x 820 = 43.4 94.6 259 35.1 75.4 312 9.25 44.17 33 45.1 © T Madas

7
**Practice on using Percentage Multipliers**

Calculate the following percentages by using multipliers: 65% of 144: 13% of 320: 54% of 360: 81% of 670: 8% of 250: 4.5% of 560: 17.5% of 820: 7.3% of 1450: 11.5% of 444: 0.5% of 910: 0.65 0.13 0.54 0.81 0.08 0.045 0.175 0.073 0.115 0.005 x 144 = x 320 = x 360 = x 670 = x 250 = x 560 = x 820 = x 1450 = x 444 = x 910 = 93.6 41.6 194.4 542.7 20 25.2 143.5 105.85 51.06 4.55 © T Madas

8
**Practice on using Percentage Multipliers**

Find 12% of 140 16.8 Find 34% of 185 62.9 Find 22% of 387 85.14 Find 17.5% of 240 42 Find 35% of 96.4 33.74 Find 8.5% of 384 32.64 Find 72% of 855 615.6 Find 27.5% of 120 33 Find 41% of 390 159.9 Find 7.2% of 855 61.56 Find 26% of 307 79.82 Find 16.4% of 365 59.86 Find 9% of 110 9.9 Find 1.7% of 300 5.1 Find 12.5% of 68 8.5 Find 0.5% of 110 9.9 © T Madas

9
**Practice on using Percentage Multipliers**

Find 14% of 160 22.4 Find 35% of 284 99.4 Find 24% of 749 179.76 Find 17.5% of 320 56 Find 45% of 146.4 65.88 Find 8.5% of 384 10.71 Find 32% of 855 273.6 Find 27.5% of 360 99 Find 11% of 930 102.3 Find 8.2% of 900 73.8 Find 36% of 385 138.6 Find 18.4% of 565 103.96 Find 7% of 220 15.4 Find 0.5% of 360 1.8 Find 12.5% of 88 11 Find 0.25% of 400 1 © T Madas

10
Test on calculating Percentages using Multipliers © T Madas

11
**Practice on using Percentage Multipliers**

Calculate the following percentages by using multipliers: 35% of 124: 43% of 220: 74% of 350: 13% of 270: 29% of 260: 65% of 480: 5% of 185: 7% of 631: 7.5% of 440: 5.5% of 820: 0.35 0.43 0.74 0.13 0.29 0.65 0.05 0.07 0.075 0.055 x 124 = x 220 = x 350 = x 270 = x 260 = x 480 = x 185 = x 631 = x 440 = x 820 = 43.4 94.6 259 35.1 75.4 312 9.25 44.17 33 45.1 © T Madas

12
**Practice on using Percentage Multipliers**

Calculate the following percentages by using multipliers: 65% of 144: 13% of 320: 54% of 360: 81% of 670: 8% of 250: 4.5% of 560: 17.5% of 820: 7.3% of 1450: 11.5% of 444: 0.5% of 910: 0.65 0.13 0.54 0.81 0.08 0.045 0.175 0.073 0.115 0.005 x 144 = x 320 = x 360 = x 670 = x 250 = x 560 = x 820 = x 1450 = x 444 = x 910 = 93.6 41.6 194.4 542.7 20 25.2 143.5 105.85 51.06 4.55 © T Madas

13
**Practice on using Percentage Multipliers**

Find 12% of 140 16.8 Find 34% of 185 62.9 Find 22% of 387 85.14 Find 17.5% of 240 42 Find 35% of 96.4 33.74 Find 8.5% of 384 32.64 Find 72% of 855 615.6 Find 27.5% of 120 33 Find 41% of 390 159.9 Find 7.2% of 855 61.56 Find 26% of 307 79.82 Find 16.4% of 365 59.86 Find 9% of 110 9.9 Find 1.7% of 300 5.1 Find 12.5% of 68 8.5 Find 0.5% of 110 9.9 © T Madas

14
**Practice on using Percentage Multipliers**

Find 14% of 160 22.4 Find 35% of 284 99.4 Find 24% of 749 179.76 Find 17.5% of 320 56 Find 45% of 146.4 65.88 Find 8.5% of 384 10.71 Find 32% of 855 273.6 Find 27.5% of 360 99 Find 11% of 930 102.3 Find 8.2% of 900 73.8 Find 36% of 385 138.6 Find 18.4% of 565 103.96 Find 7% of 220 15.4 Find 0.5% of 360 1.8 Find 12.5% of 88 11 Find 0.25% of 400 1 © T Madas

15
**Percentage Multipliers**

[higher] © T Madas

16
**To convert any type of number into a percentage you multiply the number by 100**

FACT 0.38 x 100 = 38% 0.213 x 100 = 21.3% 1.63 x 100 = 163% 2 x 100 = 200% 4/7 x 100 = 400/7 ≈ 57.14% x 100 = 300/4 = 75% © T Madas

17
**When you multiply a number by 1**

When you multiply a number by 1.1 you increase the number by ______of your starting number 0.1 When you multiply a number by 0.9 you decrease the number by ______of your starting number 0.1 © T Madas

18
**When you multiply a number by 1**

When you multiply a number by 1.2 you increase the number by ______of your starting number 0.2 When you multiply a number by 0.8 you decrease the number by ______of your starting number 0.2 © T Madas

19
**We extend this idea to percentages**

When you multiply a number by 1.15 you increase the number by ______of your starting number 0.15 When you multiply a number by 0.85 you decrease the number by ______of your starting number 0.15 We extend this idea to percentages © T Madas

20
**Examples on using Percentage Multipliers**

Increase 5000 by 10% Increase 4500 by 15% Increase 1200 by 27% Decrease 750 by 20% Decrease 1200 by 14% Decrease by 32% Increase 2000 by 17.5% Decrease by 5.5% 5000 x 1.1 4500 x 1.15 1200 x 1.27 750 x 0.80 1200 x 0.86 12500 x 0.68 2000 x 1.175 17000 x 0.945 © T Madas

21
**Using Multipliers for Percentage Changes**

If an amount is increased by x % the new amount is (100 + x )% of the original amount Increase 9000 by 15% 9000 x 1.15 = 10350 100% + 15% = 115% 115% = 1.15 If an amount is decreased by x % the new amount is (100 – x )% of the original amount Decrease 4500 by 12% 4500 x 0.88 = 7920 100% – 12% = 88% 88% = 0.88 © T Madas

22
**Calculating Percentage increases & decreases using multipliers**

© T Madas

23
**Percentage Changes using Multipliers**

Calculate the following percentages by using multipliers: Increase 220 by 15%: Decrease 230 by 15%: Increase 125 by 12%: Decrease 180 by 9%: Increase 320 by 22% : Decrease 155 by 18%: Increase 275 by 24%: Decrease 725 by 25%: Increase 520 by 35%: Decrease 900 by 16%: 220 230 125 180 320 155 275 725 520 900 x 1.15 = x 0.85 = x 1.12 = x 0.91 = x 1.22 = x 0.82 = x 1.24 = x 0.75 = x 1.35 = x 0.84 = 253 195.5 140 163.8 390.4 127.1 341 543.75 702 756 © T Madas

24
**Percentage Changes using Multipliers**

Calculate the following percentages by using multipliers: Increase 260 by 15%: Decrease 450 by 12%: Increase 225 by 16%: Decrease 184 by 5%: Increase 780 by 7% : Decrease 265 by 18%: Increase 430 by 8%: Decrease 870 by 6%: Increase 520 by 17.5%: Decrease 900 by 5.5%: 260 450 225 184 780 265 430 870 520 900 x 1.15 = x 0.88 = x 1.16 = x 0.95 = x 1.07 = x 0.82 = x 1.08 = x 0.94 = x = x = 299 396 261 174.8 834.6 217.3 464.4 817.8 611 850.5 © T Madas

25
**Percentage increase & decrease using Multipliers**

Increase 320 by 10% 352 Increase 175 by 15% 201.25 Increase 156 by 35% 210.6 Decrease 240 by 20% 192 Decrease 865 by 40% 519 Increase 125 by 12% 140 Increase 264 by 29% 340.56 Decrease 1008 by 7% 937.44 Decrease 298 by 13% 259.26 © T Madas

26
**Percentage increase & decrease using Multipliers**

Increase 340 by 15% 391 Increase 245 by 18% 289.1 Increase 825 by 34% 1105.5 Decrease 280 by 15% 238 Decrease 345 by 40% 207 Increase 9832 by 16% Increase 398 by 31% 521.38 Decrease 1538 by 5% 1461.1 Decrease 312 by 11% 277.68 © T Madas

27
Test on Percentage increases & decreases using multipliers © T Madas

28
**Percentage Changes using Multipliers**

Calculate the following percentages by using multipliers: Increase 220 by 15%: Decrease 230 by 15%: Increase 125 by 12%: Decrease 180 by 9%: Increase 320 by 22% : Decrease 155 by 18%: Increase 275 by 24%: Decrease 725 by 25%: Increase 520 by 35%: Decrease 900 by 16%: 220 230 125 180 320 155 275 725 520 900 x 1.15 = x 0.85 = x 1.12 = x 0.91 = x 1.22 = x 0.82 = x 1.24 = x 0.75 = x 1.35 = x 0.84 = 253 195.5 140 163.8 390.4 127.1 341 543.75 702 756 © T Madas

29
**Percentage Changes using Multipliers**

Calculate the following percentages by using multipliers: Increase 260 by 15%: Decrease 450 by 12%: Increase 225 by 16%: Decrease 184 by 5%: Increase 780 by 7% : Decrease 265 by 18%: Increase 430 by 8%: Decrease 870 by 6%: Increase 520 by 17.5%: Decrease 900 by 5.5%: 260 450 225 184 780 265 430 870 520 900 x 1.15 = x 0.88 = x 1.16 = x 0.95 = x 1.07 = x 0.82 = x 1.08 = x 0.94 = x = x = 299 396 261 174.8 834.6 217.3 464.4 817.8 611 850.5 © T Madas

30
**Percentage increase & decrease using Multipliers**

Increase 320 by 10% 352 Increase 175 by 15% 201.25 Increase 156 by 35% 210.6 Decrease 240 by 20% 192 Decrease 865 by 40% 519 Increase 125 by 12% 140 Increase 264 by 29% 340.56 Decrease 1008 by 7% 937.44 Decrease 298 by 13% 259.26 © T Madas

31
**Percentage increase & decrease using Multipliers**

Increase 340 by 15% 391 Increase 245 by 18% 289.1 Increase 825 by 34% 1105.5 Decrease 280 by 15% 238 Decrease 345 by 40% 207 Increase 9832 by 16% Increase 398 by 31% 521.38 Decrease 1538 by 5% 1461.1 Decrease 312 by 11% 277.68 © T Madas

32
© T Madas

33
**What is the decimal you multiply with to …**

… find 15% of a number … increase a number by 12% … decrease a number by 5% … increase a number by 20% … find 45% of a number … decrease a number by 15% … find 20% of a number … increase a number by 50% … decrease a number by 30% … find 25% of a number 0.15 1.12 0.95 1.2 0.45 0.85 0.2 1.5 0.7 0.25 © T Madas

34
**What is the decimal you multiply with to …**

… find 35% of a number … increase a number by 35% … decrease a number by 35% … increase a number by 12% … find 85% of a number … decrease a number by 4% … find 12.5% of a number … increase a number by 5% … decrease a number by 12% … find 17.5% of a number 0.35 1.35 0.65 1.12 0.85 0.96 0.125 1.05 0.88 0.175 © T Madas

35
**What is the decimal you multiply with to …**

… find 22.5% of a number … increase a number by 17.5% … decrease a number by 11% … increase a number by 12.5% … find 95% of a number … decrease a number by 24% … find 7.5% of a number … increase a number by 6.2% … decrease a number by 65% … find 1.2% of a number 0.225 1.175 0.89 1.125 0.95 0.86 0.075 1.062 0.35 0.012 © T Madas

36
© T Madas

37
**What is the decimal you multiply with to …**

… find 15% of a number … increase a number by 12% … decrease a number by 5% … increase a number by 20% … find 45% of a number … decrease a number by 15% … find 20% of a number … increase a number by 50% … decrease a number by 30% … find 25% of a number 0.15 1.12 0.95 1.2 0.45 0.85 0.2 1.5 0.7 0.25 © T Madas

38
**What is the decimal you multiply with to …**

… find 35% of a number … increase a number by 35% … decrease a number by 35% … increase a number by 12% … find 85% of a number … decrease a number by 4% … find 12.5% of a number … increase a number by 5% … decrease a number by 12% … find 17.5% of a number 0.35 1.35 0.65 1.12 0.85 0.96 0.125 1.05 0.88 0.175 © T Madas

39
**What is the decimal you multiply with to …**

… find 22.5% of a number … increase a number by 17.5% … decrease a number by 11% … increase a number by 12.5% … find 95% of a number … decrease a number by 24% … find 7.5% of a number … increase a number by 6.2% … decrease a number by 65% … find 1.2% of a number 0.225 1.175 0.89 1.125 0.95 0.86 0.075 1.062 0.35 0.012 © T Madas

40
© T Madas

41
**Match with an arrow each statement to a calculation. **

For each of the calculations that you did not pick, write a statement involving percentages about what it could possibly represent. a 85 x 0.93 b 85 x 1.07 Find 7% of 85 c 85 x 0.07 Increase 85 by 7% d 85 x 0.7 Decrease 85 by 7% e 85 x 1.7 d 85 x 0.7 Find 70% of 85 Decrease 85 by 30% e 85 x 1.7 Find 170% of 85 Increase 85 by 70% © T Madas

42
© T Madas

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google