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starMay 2013

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Math Mammoth Decimals 1 book cover The ideas in this lesson are taken from
Math Mammoth Decimals 1 book ($4.00 download). Only a few examples of each problem type are shown.

Two Decimal Digits - Hundredths
Free decimals lesson plan from HomeschoolMath.net

In the video below, I explain decimals with two decimal digits—or hundredths—using fractions and a number line. Also included an explanation of why you can "tag" or "add" zeros to the end of a decimal and its value does not change.

You have seen this number line in the previous lesson. In it, the distance from 0.0 to 0.1 is one tenth.

Now, we will DRAW nine tiny lines between 0.0 and 0.1, dividing that distance into TEN new parts.

Now, repeat this process between 0.2 and 0.3, dividing that distance into TEN new parts.

If you repeated this process between 0.3 and 0.4, and then between 0.4 and 0.5, etc.,
into how many parts would you divide the number line from 0 to 1? ________ parts

These new parts are therefore hundredth parts, or hundredths.

The number line below zooms in to the previous number line, from 0 to a little past 0.3.  The interval from 0 to 0.1 has been divided into ten parts, and similarly the interval from 0.1 to 0.2, etc.

Each interval is one hundredth. Now look at the numbers below the tick-marks.
They have two digits after the decimal point − or we say they have two decimal digits.

The number 0.28 is read as twenty-eight hundredths and is the same as  28

100
.
The number 0.06 is read as six hundredths and is the same as  6

100
.
The number 2.34 is read as two and thirty-five hundredths and is the same as 2 34

100
.

We can also illustrate hundredths by dividing a square into hundred parts.

     

This represents
32 hundredths.

32

100
 = 0.32
 
    This is twenty hundredths.
20

100
 = 0.20
It is also two tenths:
2

10
 = 0.2, because each of the 10
columns is one-tenth of the whole.

1. Color parts to show the equalities. Write the decimal in (b) and (c).

 

a.  0.50 = 0.5      

 

b.  0.10 = _____   

c.  [available in the book]

2. What numbers do the pictures illustrate? Write them as a fraction and as a decimal.

a. b.
c.  [available in the book] d. [available in the book]

3. Color to illustrate the decimals. Then write them as fractions.

a.   0.52 =

b.  0.7 =

c. [available in the book]

d. [available in the book]

4. Write the fractions as decimals.

a.  

1

100

=
 

1

10

=
b.  

4

100

=
 

4

10

=
[available in the book]
d.  2

3

100

=

 2

3

10

=
[available in the book] [available in the book]


5. Write as fractions.

a.  0.02  b.  [available in the book] c.  [available in the book] d. [available in the book] e.  10.06

 

6. Mark these decimals on the number line below:  

    1.55    1.11   1.28   1.39  1.88   1.02   1.67   1.99   1.74   1.43  1.90  1.06  1.20

[available in the book]


 

7. Fill in the missing hundredth parts under the tick marks on the number lines.

 


8. Make a number line with the hundredths tick-marks from 0.6 till 0.7.


 

 
 

9. We also use decimal numbers to write money amounts.
    A cent is a hundredth part of a dollar.
    So $5.12 means 5 whole dollars and 12 hundredths of a dollar, or 12 cents.

    With dollar-cent amounts, we always use two decimal digits after the point.
    So, what is the usual way of writing $0.6 ?

 
10. Compare. Write <, >, or = in between the numbers.

a.  0.51 0.49 b.  4.5 4.50 c.  ] d. 
e.  1.12 1.35 f.  g.  h. 
i.  2.67
2

1

2

j.   k.  l.  4.12 4.2

 

Next lesson: Hundredths and place value


Math Mammoth Decimals 1 book cover The ideas in this decimals lesson are taken from
Math Mammoth Decimals 1 book ($4.00 download). Only a few examples of each problem type are shown.

Hooda Math

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