copyright©amberpasillas2010 take out a calculator
TRANSCRIPT
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Take out a calculator.Remove all other thoughts from your mind.Pay close attention to this lesson.Try all of the examples.Ignore all other distractions.
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Whole numbers and their opposites.
Natural Numbers -Natural counting numbers.
1, 2, 3, 4 …
Whole Numbers -Natural counting numbers and zero.
0, 1, 2, 3 …
Integers -… -3, -2, -1, 0, 1, 2, 3 …
Integers, fractions, and decimals.Rational Numbers -
Ex:
23 , -0.8 , 2.39 , 14
, -3 2
5
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Rational Numbers Any number that can be written as a fraction.
25
, 457
0.007 7
1000 , 18 18
1
Fractions/Decimals Integers
5.9 , 7
8 , 3.04 , 11
2 ... 3, 2, 1, 0, 1, 2, 3...
Negative Integers Wholes
... 3, 2, 1 0, 1, 2, 3...
Zero Naturals
0 1, 2, 3...
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Venn Diagram
Naturals 1, 2, 3...
Wholes 0
Integers 11 5
Rationals
6.7
5
9
0.8
2 3
7
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Rational numbers that can be written as decimals are described as either REPEATING DECIMALS or TERMINATING DECIMALS.
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Terminating Decimal Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide.
Repeating DecimalIs a decimal that shows a pattern of repeating digits.
10.5
2
40.36
11
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What type of decimal is this?
0.6
0.46464= 46
0.75
0.3842
0.3333 = 3
Terminating
Repeating
Terminating
Terminating
Repeating
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___ , ___ ___ ___ ___ ___ ___ ___
Th
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Hu
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Ten
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Hu
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8 4 3 1 8
Read as 843 and 18 hundredths
Decimals are read as “and”
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___ , ___ ___ ___ ___ ___ ___ ___
Th
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san
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Hu
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Ten
ths
Hu
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Th
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Th
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4 2 3 8
Read as 4 and 238 thousandths
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___ , ___ ___ ___ ___ ___ ___ ___
Th
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Hu
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Ten
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Hu
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Th
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Th
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2 9 0 1 3
Read as 29 and 13 thousandths
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___ , ___ ___ ___ ___ ___ ___ ___
Th
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Ten
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Hu
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Th
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san
dth
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Th
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0 0 0 0 1
Read as 1 ten thousandths
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How do we say this decimal?
0.6 Six Tenths
It is written as
the fraction 6/10
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How do we say this decimal?
0.3 Three Tenths
It is written as
the fraction 3/10
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How do we say this decimal?
0.52 Fifty Two Hundredths
It is written as
the fraction 52/100
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How do we say this decimal?
0.31 Thirty One Hundredths
It is written as
the fraction 31/100
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How do we say this decimal?
0.410 Four Hundred and Thousandths
It is written as the fraction 410/1000
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How do we say this decimal?
0.381 Three Hundred and Eighty One Thousandths
It is written as the fraction 381/1000
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To Change a Decimal To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction.
0.2 2
10
Two tenths
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Change these Decimals to FractionsREDUCE you answer if possible DECIMAL
0.500.80.0030.790.3331
FRACTION50 1
100 2
8 4
10 5
3
1000
79
100
3331
10,000
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To Change a Fractions To a Decimal: Divide the numerator by the denominator.
4
545 0.8
4 00
40.8
5
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To Change a Fractions To a Decimal: Divide the numerator by the denominator.
3
434 0.7
2 82
0
0
5
200
30.75
4
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To Change a Fractions To a Decimal: Divide the numerator by the denominator.
1
313 0.3
91
0
0
3
91
10.3
3
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To Change a Fractions To a Decimal: Divide the numerator by the denominator.
3
535 0.6
3 00
30.6
5
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Fraction Decimal
38
means 3 8
0 3 7 5
Say it correctly!
3.000 8 0.375
3751000
38
125125 0.375
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Fraction Decimal
0.454
0.454
511
means 5 11
0 4 5 4 ... 5 4 5.00000 11
0.45
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DecimalsTerminating Decimal Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide.
Repeating DecimalIs a decimal that shows a pattern of repeating digits.
#1
10.5
2
40.36
11
Decimal Place Value
___ , ___ ___ ___ ___ ___ ___ ___
Th
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san
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es
Ten
ths
Hu
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red
ths
Th
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dth
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Th
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dth
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2 4 3 1 6
Read as 243 and 16 hundredths
#2
Decimals are read as “and”
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To Change A Decimal To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction.
0.2 2
10
#3
Two tenths
1
5