3-1
description
Transcript of 3-1
Pre-Algebra
3-1 Rational Numbers
3-1 Rational Numbers
Pre-Algebra
Warm Up
Problem of the Day
Lesson Presentation
Pre-Algebra
3-1 Rational Numbers
Warm UpDivide.
Pre-Algebra
3-1 Rational Numbers
12 24
34
16
1. 36 3 2. 144 6
3. 68 17 4. 345 115
5. 1024 64
Pre-Algebra
3-1 Rational Numbers
Problem of the Day
An ice cream parlor has 6 flavors of ice cream. A dish with two scoops can have any two flavors, including the same flavor twice. How many different double-scoop combinations are possible?
21
Pre-Algebra
3-1 Rational Numbers
Learn to write rational numbers in equivalent forms.
rational number
relatively prime
Vocabulary
Pre-Algebra
3-1 Rational Numbers
Decimals that terminate or repeat are rational numbers.
A rational number is any number that can be written as a fraction, d≠0.
Numerator nd Denominator
Pre-Algebra
3-1 Rational Numbers
The goal of simplifying fractions is to make the numerator and the denominator relatively prime.
Relatively prime numbers have no common factors other than 1.
Pre-Algebra
3-1 Rational Numbers
Simplify.
105 GCF = ?
51055
2
1
5
Pre-Algebra
3-1 Rational Numbers
Simplify.
8016 GCF = ?
16801616
5
1
16
Pre-Algebra
3-1 Rational Numbers
Simplify.
2918- GCF = ?
29
18
1
These two numbers are relatively prime!!!
Pre-Algebra
3-1 Rational Numbers
Simplify.
306 GCF = ?
63066
5
1
6
Pre-Algebra
3-1 Rational Numbers
Simplify.
34-17 GCF = ?
1734-1717
2
1
17
Pre-Algebra
3-1 Rational Numbers
Pre-Algebra
3-1 Rational Numbers
–0.8
Write the decimal as a fraction in simplest form.
Tenths
108- GCF = ?
21028-
5
4
2
Pre-Algebra
3-1 Rational Numbers
5.37
Write the decimal as a fraction in simplest form.
Hundredths
100375 GCF = ?
100
375
1
5 and 37 are relatively prime!!
Pre-Algebra
3-1 Rational Numbers
0.622
Thousandeths
1000622 GCF = ?
210002622
500
311
2
Write the decimal as a fraction in simplest form.
Pre-Algebra
3-1 Rational Numbers
8.75
Hundredths
100
758 GCF = ?
25100
25758
4
38
25
Write the decimal as a fraction in simplest form.
Pre-Algebra
3-1 Rational Numbers
11 9
Write the fraction as a decimal.
1.222222…, a repeating decimal
= 1.2
Pre-Algebra
3-1 Rational Numbers
7 20
Write the fraction as a decimal.
0.35, a terminating decimal
= 0.35
Pre-Algebra
3-1 Rational Numbers
15 11
Write the fraction as a decimal.
1.363636…, a repeating decimal
= 1.36
Pre-Algebra
3-1 Rational Numbers
Lesson Quiz: Part 1Simplify.
1. 2.
Write each decimal as a fraction in simplest form.
3. 0.27 4. –0.625
5. Write as a decimal
18 42
3 7
15 21
5 7
27 100
–5 8
13 6 2.16
Pre-Algebra
3-1 Rational Numbers
Tommy had 13 hits in 40 at bats for his baseball team. What is his batting average? (Batting average is the number of hits divided by the number of at bats, expressed as a decimal.)
Lesson Quiz: Part 2
6.
0.325
Pre-Algebra
3-1 Rational Numbers
Homework
Pg 115;
1 – 49 odd
58 – 63 all