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Then/Now You have already found percents using the percent proportion. (Lesson 7–3) Compute mentally with percents. Estimate with percents.
Concept
Example 1 A Use a Fraction to Compute Mentally A. Find 50% of 46 mentally. Answer: 50% of 46 is 23. THINK:
Example 1 A Use a Fraction to Compute Mentally = 6
Example 1 CYP A A.41 B.164 C.16 D.40 A. Find 50% of 82 mentally.
Example 1 CYP A A.6 B.4 C.16 D.48 B. Find 25% of 24 mentally.
Example 2 Use Decimals to Compute Mentally A. Compute 10% of 54 mentally. Answer: % of 54 = 0.1 ● 54 or 5.4
Example 2B Use Decimals to Compute Mentally B. Compute 1% of 219 mentally. Answer: % of 219 = 0.01 ● 219 or 2.19
Example 2 Use Decimals to Compute Mentally C. Compute 20% of 50 mentally. Answer: 10 First, find 10% of 50 = 0.1 ● 50 or 5 Then, 20% is 2 ● 10%, so 20% of 50 = 2(10% of 50) = 2(5) = 10
Example 2 Use Decimals to Compute Mentally D. Compute 15% of 40 mentally. Answer: 6 First, find 10% of 40 = 0.1 ● 40 or 4 = 2 Think of 15% as 10% + 5% Finally add (10% of 40) + (5% of 40) = = 6
Example 2A A B.0.89 C.8.9 D.890 A. Find 10% of 89 mentally.
Example 2B A B C.5.43 D.54.3 B. Find 1% of 543 mentally.
Example 2B A.56 B.8 C.24 D.16 C. Find 30% of 80 mentally.
Example 2B A.6 B.3 C.9 D.30 C. Find 15% of 60 mentally.
Example 3 Compute Mentally SHOPPING Garrett is shopping for a new video game. The original price of the game is $ The game is 10% off. How much will Garrett save? Find 10% of $60. 10% of 60=0.10 ● 60Move the decimal point one place to the left. =6=6 Answer: Garrett will save $6.
Example 3 A.$4.20 B.$21.00 C.$42.00 D.$84.00 John has a coupon for a 10% discount. If he buys a television with a regular price of $420, how much will he save?
Example 4 A Estimate Percent of a Number A. Estimate 22% of 494. Answer: So, 22% of 494 is about 100.
Example 4 B Estimate Percent of a Number B. So,
Example 4 C Estimate Percent of a Number C. Estimate 49% of 61. Answer: So, 49% of 61 is about is about 60.
Example 4 D Estimate Percent of a Number D. Estimate 155% of 38. Answer: So, 155% of 38 is about or % is about 150%. 38 is about % of 40 is % of 40 is 20.
Example 4 CYP A A.100 B.152 C.160 D.80 A. Estimate 38% of 400.
Example 4 CYP B A.25 B C.4 D.5 B. Estimate % of 2482.
Example 4 CYP C C. Which is the best estimate for 26% of 78? A.10 B.20 C.25 D.30
Example 4 CYP D A.135 B.46.5 C D.180 D. Estimate 153% of 93.