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starMay 2013

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Math Mammoth Decimals 2 book cover The ideas in this lesson are taken from
Math Mammoth Decimals 2 book ($4.25 download). Only a few examples of each problem type are shown.

Three Decimal Digits - Thousandths
Free decimals lesson plan from HomeschoolMath.net

In the video below, I explain decimals with three decimal digits—or thousandths—using fractions and a number line. Then I show examples of converting fractions to decimals and vice versa.

This square illustrates one whole. It is divided into hundred parts or hundredths. The top left square is divided into ten new parts. Those are thousandths.

The 6 shaded parts represent  6

1000
, or 0.006 - six thousandths.

The third decimal digit from the decimal point is the thousandths digit. For example, 0.008 is eight thousandths.

Read the whole set of three decimal digits as a number, and say “thousandths.”

0.391 is read “391 thousandths,” and it is equal to   391

1000
.
0.047 is read “47 thousandths” and is equal to   47

1000
.

This number line has tick marks at every hundredth. For thousandths, we would need to divide each such interval into ten new intervals. Imagine that in between each two tick marks there are nine little lines. Those would represent thousandths.

The numbers 0.052, 0.145, 0.228, and 0.304 are marked on the number line. Can you find them?

Reminder: You can “tag” zeros to the end of a decimal number, and its value will not change:

O   t h th
0 . 7    
0 . 7 0  
0 . 7 0 0
 

0.7 = 0.70 = 0.700

Seven tenths = 70 hundredths = 700 thousandths.

  7

10
 =   70

100
 =   700

1000
 .  

1. Fill in.

    When you divide one whole into ten equal parts, you get ___________________________.

    When you divide one tenth into ten equal parts, you get ___________________________.

    When you divide one hundredth into ten equal parts, you get _______________________.



2. Write the decimals indicated by the arrows.

[available in the book]

 
3. Mark these decimals on the number line: 0.187, 0.205, 0.252, 0.301, and 0.314.

 
 
 
 
4. Write the decimals in the place value charts, and as fractions.

a. seven thousandths

O   t h th
  .      
=

b.  [available in the book]

O   t h th
  .      
=

c.  3 and 371 thousandths

O   t h th
  .      

      

d. [available in the book]

O   t h th
  .      

  = 

e.  [available in the book]

O   t h th
  .      

  = 

f.  7 and 4 thousandths

O   t h th
  .      

  = 

5. Write the fractions as decimals.

a. 

3

1000

=
[available in the book] [available in the book]
d. 

50

1000

=
[available in the book]
f.  2

4

1000

=
g.  3

3

100

=
h.  1

80

100

=

6. Write as fractions.

a.  0.048  b.  c.  d.  6.7
e.  f.  12.060 g. h. 
 

7. Use the place value chart to help you, and write the decimal that is....

a.  
O   t h th
0 . 2 8 5

one tenth more than 0.285 ________

one hundredth more than 0.285 _______

one thousandth more than 0.285 ______

[available in the book]
[available in the book]
d.  
O   t h th
  .      

one tenth more than 0.9        ________

one hundredth more than 0.9    ________

one thousandth more than 0.9   ________

8. Ten tenths makes one whole. We can write that as a multiplication: 10 × 0.1 = 1.
    (Note, the word “makes” corresponds to the equal sign, but there is no word
    to correspond to the multiplication sign; it is implied.)
    Fill in the sentences below, and write a multiplication sentence to match each one.
    Hint: The picture of the large square in the first page of this lesson can help.

    a. _____ thousandths makes a hundredth.  _____ × _____ = _____

    b. _____ hundredths makes a tenth.  _____ × _____ = _____

    c. [available in the book]

    d. [available in the book]



9. Place the numbers in the cross-number puzzle.
    The squares have been left white so as not to
    show how many digits the numbers have.
    After completing the puzzle, you can color
    or shade the squares that are left empty.

[available in the book]

    Across:

    a. two and 49 thousandths

    c. two and 7 hundredths

    d. five hundredths

    e. 71 hundredths

    f. 392 thousandths

Down:

a. 2 and nine hundredths

b. threeand76 thousandths

c. 2 and five tenths

d. 3 thousandths

e. two tenths



 

Next lesson: Add decimals with hundredths


Math Mammoth Decimals 2 book cover The ideas in this decimals lesson are taken from
Math Mammoth Decimals 2 book ($4.25 download). Only a few examples of each problem type are shown.

Practice makes perfect. Practice math at IXL.com

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