wednesday, october 26 th please take out your homework and complete warm up did you write down your...

Wednesday, October 26th • Please take out your homework and

complete warm up• Did you write down your homework?

1. Circle the INTEGERS and underline the WHOLE NUMBERS

-3, ¼, 7, 0, -5.4, 9

2. Find the product 4.56 x .04

Warm Up

Corny Joke of the DayWhat did the first

casket say to the second casket?

Is that you COFFIN?

Schedule for the WeekWednesday: Ordering and

comparing rational numbers Thursday: adding and subtracting decimal integersFriday: Adding and subtracting fraction integers

Homework AnswersCan you find my mistakes?

1. Rational2. Rational3. Irrational4. Irrational5. Rational, Whole,

Integer6. Rational, Whole,

Integer7. Irrational8. Rational: Whole,

Integer 9. Irrational10. Rational:

Whole

Homework Answers

Fraction Test

Let’s look over the answers

Always ask yourself “does

my answer make

sense?!?!”

Retest?O 75 and above you will complete a packet

O74 and below you are eligible for a reteach

OMonday 10/31 will be the reteach

OWednesday 11/2 will be the retest

Retest Qualifications

O All Homework must from unit must be complete before you retake the test

ORetest formORetake packet must be complete before you retake the test

Question of the Day?!?!

How do compare and order rational numbers?

1. Comparing Integers

1-3

5-7

You can compare and order integers by graphing them on a number line.

• Integers increase in value as you move to the right along a number line.

• They decrease in value as you move to the left.

Remember

Compare the integers. Use < or >.

4 is farther to the right than -4, so 4 > -4.

1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0

4 -4>

The symbol < means “is less than,” and the symbol > means “is greater than.”

Remember!

Use a number line to order the integers from least to greatest.

–5, 4, –3, 2, –1, –2

The numbers in order from least to greatest are –5, –3, –2, –1, 2, and 4.

1 2 3 4 5 6 7 8 –8 –7–6–5–4 –3–2 –1 0

You Try!

ComparingFractions

Which is greater, or ?79

29

When two fractions have the same denominator, just compare the numerators.

79 > 2

9 because 7 > 2.

= 79

=29

Course 2

2-11 Comparing and Ordering Rational Numbers

Compare the fractions. Write < or >.

Additional Example 1A: Comparing Fractions

79

58

The LCM of the denominators 9 and 8 is 72.

79 = 7 · 8

9 · 8 = 5672

58 = 5 · 9

8 · 9 = 4572

5672 > 45

72 , and so . 79 > 5

8

Write equivalent fractions with 72 as the denominator.

Course 2

2-11 Comparing and Ordering Rational Numbers

Compare the numerators.

Additional Example 1B: Comparing Fractions

Compare the fractions. Write < or >.

25

37

– –

25– = –2 · 7

5 · 7=

–14 35

37– = –3 · 5

7 · 5=

–15 35

– 1435

> – 1535

, and so – > .25

– 37

Write equivalent fractions with 35 as the denominator.Put the negative signs in the numerators.

Both fractions can be written with a denominator of 35.

Course 2

2-11 Comparing and Ordering Rational Numbers

Compare the fractions. Write < or >.

56

78

The LCM of the denominators 6 and 8 is 48.

56 = 5 · 8

6 · 8 = 4048

78 = 7 · 6

8 · 6 = 4248

4048 < 42

48 , and so . 56 < 7

8

Write equivalent fractions with 48 as the denominator.

Check It Out: Example 1A

Course 2

2-11 Comparing and Ordering Rational Numbers

Compare the numerators.

Compare the fractions. Write < or >.

68

57

– –

68– = –6 · 7

8 · 7=

–42 56

57– = –5 · 8

7 · 8=

–40 56

– 4256

< – 4056

, and so – < .68

– 57

Write equivalent fractions with common denominators.Put the negative signs in the numerators.

Check It Out: Example 1B

Both fractions can be written with a denominator of 56.

Course 2

2-11 Comparing and Ordering Rational Numbers

ComparingDecimals

To compare decimals, line up the decimal points and compare digits from left to right until you find the place where the digits are different.

Course 2

2-11 Comparing and Ordering Rational Numbers

Compare the decimals. Write < or >.

Additional Example 2A: Comparing Decimals

0.427 0.425

0.427

0.425

Since 0.007 > 0.005, 0.427 > 0.425.

Line up the decimal points.The tenths and hundredths arethe same.

Compare the thousandths:

7

5

7 > 5.

Course 2

2-11 Comparing and Ordering Rational Numbers

Compare the decimals. Write < or >.

Additional Example 2B: Comparing Decimals

0.73 0.734

0.733…

0.734

Line up the decimal points.The tenths and hundredths arethe same.

Compare the thousandths:

3

4

3 < 4.

Course 2

2-11 Comparing and Ordering Rational Numbers

0.73 =_

Since 0.003 is < 0.004, 0.73 < 0.734.

Compare the decimals. Write < or >.

0.535 0.538

0.535

0.538

Since 0.005 < 0.008, 0.535 < 0.538.

Line up the decimal points.The tenths and hundredths arethe same.

Compare the thousandths:

5

8

5 < 8.

Check It Out: Example 2A

Course 2

2-11 Comparing and Ordering Rational Numbers

Check It Out: Example 2B

Course 2

2-11 Comparing and Ordering Rational Numbers

Compare the decimals. Write < or >.

0.334

0.3333…

0.334

Line up the decimal points.The tenths and hundredths arethe same.

Compare the thousandths:

3

4

3 < 4.

0.3

Since 0.003 is < 0.004, 0.3 < 0.334.

0.3 = 0.3 is a repeating decimal.

Putting it all

together

A Helpful Tool

Here are the most basic fraction to decimal

conversions you will see!!!!

You should memorize:½, ¼, 1/3, 1/5, 1/8, 1/9

Write each fraction as a decimal.

Additional Example 2: Using Mental Math to Write Fractions as Decimals

Course 2

2-10 Equivalent Fractions and Decimals

A.

4 5

4 5

x 2 2

= 8 10

= 0.8

Multiply to get a power of ten in the denominator.

B.

37 50

37 50

x 2 2

= 74 100

= 0.74

Multiply to get a power of ten in the denominator.

Write each fraction as a decimal.

Check It Out: Example 2

Course 2

2-10 Equivalent Fractions and Decimals

A.

3 5

3 5

x 2 2

= 6 10

= 0.6

Multiply to get a power of ten in the denominator.

B.

18 25

18 25

x 4 4

= 72 100

= 0.72

Multiply to get a power of ten in the denominator.

Write each decimal as a fraction in simplest form.

Additional Example 3: Writing Decimals as Fractions

Course 2

2-10 Equivalent Fractions and Decimals

A. 0.018 B. 1.55

0.018 = 181,000 1.55 =

155100

=18 ÷ 2

1,000 ÷ 2= 155 ÷ 5

100 ÷ 5

=3120

or 1 1120=

9500

You read the decimal 0.018 as “eighteen thousandths.”

Reading Math

Check It Out: Example 3

Insert Lesson Title Here

Course 2

2-10 Equivalent Fractions and Decimals

Write each decimal as a fraction in simplest form.

A. 0.015 B. 1.30

0.015 = 151,000 1.30 =

130100

= 15 ÷ 51,000 ÷ 5

= 130 ÷ 10100 ÷ 10

= 1310

or 1 310

= 3200

Lesson Quiz

Write each fraction as a decimal.

1.

3. 4.

Write each decimal as a fraction in simplest form.

5. 0.42

7. If your soccer team wins 21 out of 30 games, what is

your team’s winning rate?

2.6253.2

Insert Lesson Title Here

2150

69 8

Course 2

2-10 Equivalent Fractions and Decimals

165 2.

218

6. 8.625

0.70

710

1120 0.550.7

5 8

or 8

Order

Additional Example 3: Ordering Fractions and Decimals

45

0.93, and 0.9 from least to greatest.,

45 = 0.80

Graph the numbers on a number line.

0 0.2 0.4 0.6 0.8 1

0.93

Write as decimals with the same number of places.

0.93 = 0.93 0.9 = 0.90

Course 2

2-11 Comparing and Ordering Rational Numbers

0.80 < 0.90 < 0.93 Compare the decimals in order.

45From least to greatest, the numbers are , 0.9, 0.93.