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)...
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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
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Transcript of 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)...
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 3 Ones
6 Ten-Million 1 Tenths
2 Million 1 Hundredths
2 Hundred-Thousand
4 Thousandths
8 Ten-Thousand 8 Ten-thousandths
8 Thousands 6 Hundred-thousandths
4 Hundreds 8 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 _____ 0.2891.91 _____ 9.120.347 _____ 20.351
>
<
<
Rounding Decimals
(1) locate the place you are rounding to
(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
0.34198
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.
15 % means 15 out of 100
1.5 % means _____________________1.5 out of 100
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
2863.4 %
07
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__ = ______/______ 75
8421 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
0.1818/100 = 9/50
3.6/100 = 36/1000
= 9/2503.6 %
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 ____ 345.992b. 356.792 ____ 356.782c. 272.81 ____ 272.18d. 3.9182 ____ 3.9082e. 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*40b. 80 – 80*(0.60)c. 80*60d. 80 – 80*(0.40)e. 80*(0.40)
