Copyright©amberpasillas2010 TAKE OUT A CALCULATOR

copyright©amberpasillas2010

TAKE OUT A CALCULATOR


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.


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


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...


Venn Diagram

Naturals 1, 2, 3...

Wholes 0

Integers 11 5

Rationals

6.7

5

9

0.8

2 3

7


Rational numbers that can be written as decimals are described as either REPEATING DECIMALS or TERMINATING DECIMALS.


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


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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8 4 3 1 8

Read as 843 and 18 hundredths

Decimals are read as “and”


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4 2 3 8

Read as 4 and 238 thousandths


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2 9 0 1 3

Read as 29 and 13 thousandths


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0 0 0 0 1

Read as 1 ten thousandths


How do we say this decimal?

0.6 Six Tenths

It is written as

the fraction 6/10



0.3 Three Tenths

It is written as

the fraction 3/10



0.52 Fifty Two Hundredths

It is written as

the fraction 52/100



0.31 Thirty One Hundredths

It is written as

the fraction 31/100



0.410 Four Hundred and Thousandths

It is written as the fraction 410/1000



0.381 Three Hundred and Eighty One Thousandths

It is written as the fraction 381/1000


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


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


To Change a Fractions To a Decimal: Divide the numerator by the denominator.

4

545 0.8

4 00

40.8

5



3

434 0.7

2 82

0

0

5

200

30.75

4



1

313 0.3

91

0

0

3

91

10.3

3



3

535 0.6

3 00

30.6

5


Fraction Decimal

38

means 3 8

0 3 7 5

Say it correctly!

3.000 8 0.375

3751000

38

125125 0.375


Fraction Decimal

45

0.03

720

810

3100

0.35

0.8

55

35100


Fraction Decimal

6.7

459100

7610

9.45


Fraction Decimal

0.33

13

means 1 3

0 3 3 3 ...

1.000 3 0.3


Fraction Decimal

0.454

0.454

511

means 5 11

0 4 5 4 ... 5 4 5.00000 11

0.45


Fraction Decimal

0.833

0.83

56

means 5 6

0 8 3 3 ...

5.000 6

0.83


Fraction Decimal

512

means 5 12

0 4 1 6 ... 6 5.0000 12 0.416


REMEMBER: To Always Show Your Work

Take out your Study Guide!!!


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

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2 4 3 1 6

Read as 243 and 16 hundredths

#2

Decimals are read as “and”



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


To Change Fraction To a Decimal: Divide the numerator by the denominator.

#4

34

34 0.7

2 82

0

0

5

200

30.75

4

means 3 4

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Copyright©amberpasillas2010 TAKE OUT A CALCULATOR