1.3 Homework Solutions 31) -3 33) 2.5 35) 1 37) (10, 3) 39) (-10, -3) 41) (5.6, 2.85) 43) R(2, 7) 56) Answer Example: You can find the distance in two other ways other than using a ruler. One is by applying the Pythagorean Theorem, since the distance is the hypotenuse of the triangle containing the points. The other is using the distance formula, which is a generalization of the Pythagorean Theorem. 65) t = 9

PLAN Review: Decimals and Percents Thursday, September 29

Bell Ringer: Place Value Label each digit with the place value it represents. For example in the number 4.3, for represents the ones place and 3 represents the tenths place

Place Value: 3,762,288,413.114868 3 Billion 1 Tens 7 Hundred-Million Ones 6 Ten-Million Tenths 2 Million Hundredths Hundred-Thousand 4 Thousandths 8 Ten-Thousand Ten-thousandths Thousands Hundred-thousandths Hundreds Millionths

Comparing Decimals > (1) start at the greatest place value, (2) compare digits left to right, (3) continue until digits differ, (4) compare the different digits, (5) the greater digit signifies the greater decimal. Compare 0.34203 and 0.34198 0 = 0 3 = 3 4 = 4 2 ≠ 1 2 > 1 0.34203 ____ 0.34198 >

Comparing Decimals Practice Write < or > in the blank. 0.32 _____ 0.289 1.91 _____ 9.1 20.347 _____ 20.351 > < <

Rounding Decimals (1) locate the place you are rounding to 0.34198 (2) look at the digit to the right of that place if the digit is less than 5, round down if the digit is greater than 5, round up (3) rounded to Round 0.34198 to the thousandths 0.34198 0.342

Rounding Decimals Practice Round 3,245.60537 to the thousandths place _________________ thousands place ___________________ 3,245.605 3,000

Percents: Definition Percent means out of one hundred.

Decimals to Percents to Fractions To write a decimal as a percent: (1) move the decimal point two places to the right (2) write the percent sign 0.78 = 78 % 0.0524 = _________ % 28.634 = ___________ To write a percent as a decimal: (1) move the decimal point two places to the left (2) write zeros if necessary 36 % = 0.36 7 % = 0.______ 386.29 % = 5.24 07 2863.4 % 3.8629

Decimals to Percents to Fractions To write a fraction as a percent: (1) divide the numerator by the denominator = decimal (2) follow the procedure to turn decimal into a fraction ¼ = 0.25 = 25 % ¾ = 0.75 = ________ % To write a percent as a fraction: (1) write the percent with 100 as the denominator (2) simplify the fraction if possible 56 % = 56/100 = 14/25 84 % = ______/100__ = ______/______ 84 75 21 25

Decimals to Fractions to Percents: Practice Complete the table. The three numbers across each row should be equal. Fraction Decimal Percent 18% 0.036 18/100 = 9/50 0.18 3.6/100 = 36/1000 3.6 % = 9/250

Decimals and Percents Practice 1. Jennifer ran 3/8 of a mile. What percent of a mile did she run? 2. The symbol < can be used to fill in the blank to make which choice true? a. 345.982 ____ 345.992 b. 356.792 ____ 356.782 c. 272.81 ____ 272.18 d. 3.9182 ____ 3.9082 e. 576.91 ____ 567.91 3. Rachel wants to buy a calculator. A calculator normally sells for $80, but it is on sale for 40% off. Which expression correctly represents how to find the sale price? a. 80*40 b. 80 – 80*(0.60) c. 80*60 d. 80 – 80*(0.40) e. 80*(0.40)