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Transcript of Wednesday, October 26 th Please take out your homework and complete warm up Did you write down your...
![Page 1: Wednesday, October 26 th Please take out your homework and complete warm up Did you write down your homework? 1.Circle the INTEGERS and underline the WHOLE.](https://reader035.fdocuments.in/reader035/viewer/2022081519/56649e7b5503460f94b7b97c/html5/thumbnails/1.jpg)
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
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Corny Joke of the DayWhat did the first
casket say to the second casket?
Is that you COFFIN?
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Schedule for the WeekWednesday: Ordering and
comparing rational numbers Thursday: adding and subtracting decimal integersFriday: Adding and subtracting fraction integers
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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
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Fraction Test
Let’s look over the answers
Always ask yourself “does
my answer make
sense?!?!”
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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
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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
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Question of the Day?!?!
How do compare and order rational numbers?
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1. Comparing Integers
1-3
5-7
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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
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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!
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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!
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ComparingFractions
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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
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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.
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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
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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.
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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
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ComparingDecimals
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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
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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
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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.
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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
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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.
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Putting it all
together
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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
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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.
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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.
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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
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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
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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
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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.