The document explains decimals as rational numbers formed from whole numbers with a decimal point, detailing the values of digits in an example number. It outlines steps for converting fractions to decimals using equivalent fractions with specific denominators, along with division techniques. Additionally, it distinguishes between terminating, nonterminating, and repeating decimals.

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3. 3
Let’s Recall

4. DECIMALS
4

5. 5
Vocabulary
DECIMALS – a rational number
that is a combination of a whole
number and a part of a whole.
WHOLE NUMBERS – numbers
suchas 0, 1, 2, 3, 4 , 5, 6, 7 …,
DECIMAL POINT – separates the
whole number and the part of the
whole .

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Whole
Numbers
Decimal
Ten
s
On
es
D
ec
im
al
P
oi
nt
Ten
ths
Hun
dre
dth
s
Tho
usa
ndth
s
Ten
Tho
usa
ndth
s
2 3 . 0 1 5 6

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Here are the values of each digit in the
number 23.01564978
2 = 20
3 = 3
0 = 0
1 = 0.01 = 1/100
5 = 0.005 = 5/1 000
6 = 0.0006 = 6/10 000
4 = 0.00004 = 4/100 000

8. Decimals and
Fractions
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Steps to Convert Fraction to Decimals
1. Rename the fraction as an
equivalent fraction with 10, 100,
1000, 10000 as the denominator.
𝟐
𝟓
=
𝟒
𝟏𝟎
x 2
x 2

10. 10
Steps to Convert Fraction to Decimals
1. Rename the fraction as an
equivalent fraction with 10, 100,
1000, 10000 as the denominator.
𝟔
𝟐𝟓
=
𝟐𝟒
𝟏𝟎𝟎
x 4
x 4

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Steps to Convert Fraction to Decimals
1. Divide the numerator and the
denominator. You can add
decimal point and zeros.
𝟐
𝟓
=
𝟒
𝟏𝟎

12. 12
Steps to Convert Fraction to Decimals
1. Divide the numerator and the
denominator. You can add
decimal point and zeros.
𝟔
𝟐𝟓
=
𝟐𝟒
𝟏𝟎𝟎

13. 13
• A terminating decimal has an exact
number of decimal places.
• A nonterminating decimal does not
have an exact number of decimal
places.
• A repeating decimal is a
nonterminating decimal that has
repeating digits or digits called
repeated block.

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1. Answer page166 Work Together

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All for Thee, my
Jesus
All for Thee, Amen.

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