1-1 rational numbers divide without using a calculator. 12 24 false 4 1/8 1. 36 3 2. 144 6 3. t/f?...
TRANSCRIPT
1-1 Rational Numbers
Divide without using a calculator.
12 24
False
4 1/8
1. 36 3 2. 144 6
3. T/F? The denominator of ¾ is 3?
4. Change to a mixed number: 33/8
Bell Work:
1-1 Rational Numbers
I can •Simplify fractions•Write decimals as fractions
Learning Target:
1-1 Rational Numbers
rational number
relatively prime
Vocabulary
- any number that can be written as a fraction
- two numbers whose only shared factors are 1
- a fraction that can’t be reduced
- any number that terminates or repeatsterminates repeats
1-1 Rational Numbers
1-1 Rational Numbers
16
80
Find a number that will divide evenly into both
How about 8?
1 5
=
1680
Divide the numerator and denominator by 8.= 16 ÷ 8
80 ÷ 8
Let me show you one:
I can simplify fractions
Do you need to reduce more?
210
= 2 ÷ 2 10 ÷ 2
1-1 Rational Numbers
= –18 29
–18 29
18 = 2 • 9 29 = 1 • 29
;There are no common factors.
18 and 29 are relatively prime.–18 29
Try this one with your partner:
I can simplify fractions
1-1 Rational Numbers
18
27
9 is a common factor.
2 3
=
1827 =18 ÷ 9
27 ÷ 9Divide the numerator and denominator by 9.
Try this by yourself:
I can simplify fractions
1-1 Rational Numbers
Steps:
2. Count the number of places AFTER the decimal. This will be the number of zeros in the denominator.
I can write decimals as fractions
3. Put a 1 in front of the zeros
1. Write a fraction. Use the numbers after the decimal as the numerator.
4. Simplify the fraction
1-1 Rational Numbers
5.37
A. 5.37
7 is in the hundredths place.37 100
= 5
Let me show you two examples:
0.622
B. 0.6222 is in the thousandths place.
622 1000
=
= 311 500
Simplify by dividing by the common factor 2.
I can write decimals as fractions
1-1 Rational Numbers
8.75
A. 8.75
5 is in the hundredths place.75
100= 8
= 8 3 4
Simplify by dividing by the common factor 25.
Try these with your partner:
0.2625
B. 0.26255 is in the ten-thousandths place.
2625 10,000
=
= 21 80
Simplify by dividing by the common factor 125.
I can write decimals as fractions
1-1 Rational NumbersHave you mastered today’s learning targets?
Then, prove it with this four question quiz!
1-1 Rational Numbers
Lesson Quiz
Simplify.
1. 2.
Write each decimal as a fraction in simplest form.
3. 0.27 4. –0.625
18 42
3 7
15 21
5 7
27 100
– 5 8
1-1 Rational Numbers
Assignment:
page 8, problems 1 – 18
Use your calculator only for emergencies and to check your work.