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the math problems did Anya finish? How many did she not finish. M = 10 X25 75 100 -X10 2= 10 X10 3 10 70 100 X10 (x10 3 5 50 75, is 75% 100 30 100 50, Anya finished 70% of her problems. So, Anya did not finish 30% of her problems J8888885 www 6 RP 3C . ex.. 2-3 Percents and Decimals What will we learn today? -To write %/ as decimals. - To write decimals as % ex. Percent to decimal ÷ by 100 and remove % sign move decimal 2 places to the left ex. 531% ex 48% = 4,8% .48 Decimal to a Percent ex. 8% to a decimal method I 8 .08 100 and add a •move decimal point 2 places to the right. ex. 0.36 0.36% = 36% 2% to a decimal 2 1.02 100 0.4 to a % 4 = 40 = 40% 10 100 ×10 = 5,31% 32% = 5,31 Method 2 8% .08 • .02 40% = 40% 17 6 RP 3c 18 2-4 Percents Greater than 100 &' less. Than 1% ex. What will we learn today? -To write % greater than 100% or less than 1% as decimals or fractions - To write mixed #³ as percents ex. Write 0.6% as a decimal and as a fraction in simplest form 0.6% ol: 6 = .006 = 6:2= 3 fraction form 1,000 500 Write 230% as a mixed # in simplest form and as a decimal. 230% = 230. 100 Divide by 100 and remove 0/0 sign decimal form 30 = 2 100 ex. Write 1 ³/5 as a percent 13 8 5 5 ×20" 8 = 160 100 20 or 3 2 10 and 2,3 make into an improper fraction find an equivalent fraction 50 11/2/3 is 160% 6 RP 3c 2-5 Compare and Order Fractions, Decimals, and Perients What we will learn today? Compare and Order fractions, decimals, percents Least common denominator (LCD) = the least • common multiple of the denominator of two or more fractions. ex. 15 8 21 27 or = 6. 14 8 10/1 21 14 The Lim of the denominators 21 and 14 is 42, So, the LCD is 42. Write equivalent fractions with a denominator of 42 for each fraction, ex. Order the fractions 2/3,4/5, 8/15, and 3/5 from least to greatest -x2) 8 18 21 42 1.4 42 1. Rewrite each fraction using LCD of 15 2, 2 = 10 3=9 3 5 15 x3 -x5/ 412 88 15 5 15 15 15 3. Since 8L 9 4 10 4 12 the order of the 15 15 15 15 3/4 original fractions from least to greatest is 24 3 5 } 19: ex, 20 فرادی 5 <> or =.2 NIT 2 . 23/0 O .40.2 write the sentence write 2/5 as a decimal and compare. GRP 3 6RP 30 2-6 Estimate with Percents What will we learn today? -To estimate equivalent ratios ex. / using compatible #s or ex. Estimate 49% of 302 ✓ ↓ 50% of 300 1/2 of 300 is 150 50, 49% of 302 is about 150 Estimate 80% of 1605 1. 80% is 4/5 2. Round 1605 to 1,600 since it is divisible by 5 3.5 of 1600 is 320 or 1/5 means = by 5' 0% 100% 0 115 320 1/5 440 115 960 15 1280 1600 4 or 80% of 1605 is about 1,280 5 ex. A CD that originally cost $11.90 is on sale for 25% off. About how much will you save by buying the CD on sale? method I: equivalent ratios 25% of $11.90 25% of $12.00 x3 3. 4 $12.00 method 2: mental ma 25%=1/4 $11.90 ≈ $12.00 1/4 of $12.00 is about $. (divide $12 by the denominator 4) You will save about $3.00 buying the CDs 25% off 21 22 the Rate per using Estimate 27% of 512 27% 27 out of 100 512 ~ 500 ex. Estimate 100 100 + 100 + 100 + 100 + 100 = 500 (Adding 5 100³ =500) 27% of 500 is 27 five times 27+27+27+27+27=135 50, 27% of 512 is about 135 6 RP 3 6 RP 3c 2-7 Percent of a Number What will we learn today? To find the % of a # -To find the % of a # when the % is greater than 100% or less than 1% ex. Suppose there are 300 students at Valley Oak. Find the # of Students that have veggies as a snack. fruit -cheese fraction method 1:% as a. 17% = 12 100 17 of 300 or 17 X 300 100 100 no Snack 17 x 300 = 5100 51 100 1 100 method 2: % as a decimal 17% = .17 •17 of 300 = ⋅ 17 × 300 = 51 ex. Find 125% of 140 125% = 125÷5 100 -25 Chips 20 ↓ 25 x 1407 = 175. 1 130 50, 125% of 140 is 175 -veggies 17% ·cookies. 175 23 24 ex. Find 0.45% of 55. 45% = . 0045 · 0045 x 55. 2475 So, .45% of 5515.2475 @ 2 949 6 RP 3 ic RP 3 c C 2-8 Solve Percent Problems What will we learn today? -To solve % problems by: • using # lines to find the whole • using the percent proportion tion. -propor = is an equation that shows that 12 ratios are equivalent. percent proportion = one ratio compares a part to a whole, the other ratio is the equivalent percent written as a fraction with a denominator of 100 lex. 30 is 60% of what number? 0% O + 0% 0 H 2.5 40% 100% 50, 30 is 60% of 50 ex. 40% of Students in my class have blue eyes. If there are 10 students with blue eyes, how many are in my class 5 7.5 10 12.5 30 35 40 45 15 17.5 20 22.5 10 ÷ 4 spaces over=2.5 100% 50 ? 100% 25 50, 25 kids are in my class 25 ex. 110 is 55% of what number? X2 55 = 110 100 200 ex. 26 X2 310 is 40% of what number? *31 =4 10 25 40 100 310 775 :4 x31 40 can't be multiplied to 310 so you need to scale back then scale forward'