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starMay 2012

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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.

Decimal numbers - tenths
Free decimals lesson plan from HomeschoolMath.net

In the video below, I explain about decimal numbers with one decimal digit (tenths) using fractions and a number line. I also include some easy addition problems.



The number line between 0 and 1 is divided into ten parts.
 Each of these ten parts is   1

10
, a tenth.

Under the tick marks you see decimal numbers such as 0.1, 0.2, 0.3, and so on.

These are the same numbers as the fractions  

1

10
,   2

10
,   3

10
, and so on.

We can write any fraction with tenths (denominator 10) using the decimal point.
Simply write after the decimal point how many tenths the number has.

Note:  

1

8
 is not 0.8. Instead, 0.8 is eight tenths, or  8

10
.

The denominator is always 10!

0.6 means six tenths or 

6

10
1.5 means 1 whole and 5 tenths

or 1

5

10

1. Write the fractions as decimals and vice versa.

a.  

7

10

b.  2  [available in the book]
c.  [available in the book]
d.  [available in the book]
e.  29.3

2. Write the decimal and the fraction that the picture shows.  

a.


 
b.

c. [available in the book]

3. Shade the parts to show the decimals.

a.
 0.4
c. [available in the book]
d. [available in the book]
b.
 0.1


Decimal” comes from the Latin root decem, which simply means ten. The number system we use is called the decimal number system, because the place value units go in tens: you have ones, tens, hundreds, thousands, and so on, each unit being 10 times the previous one.

In common language, the word “decimal number” has come to mean numbers which have digits after the decimal point, such as 5.8 or 9.302. But in reality, any number within the decimal number system could be termed a decimal number, including whole numbers such as 12 or 381.

4. Write the mixed number under each decimal number.

 

 
5. Write the decimal numbers under the tick marks.

[available in the book]


 

6. Make a number line from 2 till 3.5 with tick marks at every tenth. Label them with decimal numbers.

 

 

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

a.  0.5  0.9 b.  1.3  0.3 c. 
d. 
e.  16.0  16

 

8. Put in order from smallest to largest:

   1.2   0.9   2.6   0.1    2

1

2

  2.3   3.0    

1

2

  

9. Mark these temperatures with dots on the thermometer: 37.4°C, 36.2°C, 38.7°C, 41.8°C, 40.5°C

[available in the book]

 

Next lesson: Tenths 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.

Math games

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Practice makes perfect. Practice math at IXL.com


New! Times Tales is now on DVD!

The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.
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