1. 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

2. PLAN Review: Decimals and Percents
Thursday, September 29

3. 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

4. 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

5. 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 and
0 = 0
3 = 3
4 = 4
2 ≠ 1
2 > 1
____
>

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

7. 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 to the thousandths
0.342

8. Rounding Decimals Practice
Round 3, to the
thousandths place _________________
thousands place ___________________ 3,
3,000

9. Percents: Definition Percent means out of one hundred.

10. 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 %
= _________ %
= ___________
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.______
% =
5.24 07 %
3.8629

11. 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

12. 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

13. 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 ____
b ____
c ____
d ____
e ____
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)