Objective SWBAT estimate percents SWBAT estimate percents.
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Transcript of Objective SWBAT estimate percents SWBAT estimate percents.
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ObjectiveObjectiveSWBAT estimate percentsSWBAT estimate percents
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““Estimating with Percents”Estimating with Percents”
You can use fractions or decimals to You can use fractions or decimals to estimate with percents. estimate with percents.
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Estimating Percents with FractionsEstimating Percents with Fractions
PercentPercent 10%10% 20%20% 25%25% 33 % 33 % 50%50% 66 %66 %
FractionFraction
31
32
32
21
31
41
51
101
You can estimate the percent of a number by substituting a fraction that is close to a given percent.
A basketball costs $14.99 at A basketball costs $14.99 at Modell’s. Sports Authority is Modell’s. Sports Authority is offering the same basketball at offering the same basketball at 20% off the regular price of 20% off the regular price of $19.99. Estimate to determine $19.99. Estimate to determine which store is offering the better which store is offering the better deal? deal?
Find 20% of $19.99
00.4$
2051
Compatible numbersCompatible numbers – – numbers that are close and help you numbers that are close and help you use mental math to find the solutionuse mental math to find the solution
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Use a fraction and compatible numbers to estimate the Use a fraction and compatible numbers to estimate the percent of each number.percent of each number.
means multiplicationmeans multiplication
25%25% 11 44
Find 25% of 35.Find 25% of 35.36
41
19
436
136
41
34%34% 11 33
Find 34% of 63.Find 34% of 63.
163
31
121
363
163
31
Finding Percent Finding Percent ofof a Numbera Number
8%8% 111010
Find 8% of 261.Find 8% of 261.260
101
126
10260
1260
101
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Estimating Percents with DecimalsEstimating Percents with DecimalsAnother way to estimate percents is to find 1% or Another way to estimate percents is to find 1% or 10% of a number. You can do this by moving the 10% of a number. You can do this by moving the decimal point in the number.decimal point in the number.
1% 1% Find of any Find of any number by moving the number by moving the decimal point 2 places to decimal point 2 places to the left.the left.
10% 10% Find of any Find of any number by moving the number by moving the decimal point 1 place to decimal point 1 place to the left.the left.
Find 1% of 45Find 1% of 45
45 45 = 0.45 = 0.45 .0.0Find 10% of 45Find 10% of 45
45 45 = 4.5 = 4.5 .0.0
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Use 1% or 10% to estimate the Use 1% or 10% to estimate the percent of each number.percent of each number.
Find 4% of 1818 is about 20, so find 4% of 20.1% of 20 = 20.4% of 20 = 4 · 0.2 = 0.84% of 18 is about 0.8.
4% equals 4 · 1%.
.
Find 29% of 8029% is about 30, so find 30% of 80.10% of 80 = 80.30% of 80 = 3 · 8.0 = 24.029% of 80 is about 24.
30% equals 3 · 10%..
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Real-Life ApplicationReal-Life ApplicationTim spent $58 on dinner for his family. About how much money should he leave for a 15% tip?
Since $58 is about $60, find 15% of $60.15% = 10% + 5%10% of $60 = $65% of $60 = $6 ÷ 2 = $3$6 + $3 = $9
Tim should leave about $9 for a 15% tip.
Think: 15% is 10% + 5%.
5% is of 10% so divide $6 by 2.
12
Add the 10% and 5% estimates.
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Real-Life ApplicationReal-Life ApplicationAmanda spent $12 on a hair cut. About how much money should she leave for a 15% tip?
Since $12 is about $10, find 15% of $10.15% = 10% + 5%10% of $10 = $15% of $10 = $1 ÷ 2 = $0.50$1 + $0.50 = $1.50
Amanda should leave about $1.50 for a 15% tip.
Think: 15% is 10% + 5%.
5% is of 10% so divide $1 by 2.
12
Add the 10% and 5% estimates.