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starFebruary 2012: triangle puzzle, Vi Hart & mathematical doodling, compound percent, geometry videos, and more

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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.

Place value again.
Free decimals lesson plan from HomeschoolMath.net

Look at the different place values in this number 2703.94. 
 
2 7 0 3 . 9  4 
thou-
sands
hund-
reds
tens ones tenths  

What would be next place value after tenths?

____________________________________

2 × 1000 (thousands)
7× 100  (hundreds)
0 × 10  
3 ×  
9 ×

1

10

(tenth parts or tenths)
 4 ×  

[number line available in the ebook]

0 . 2 7
ones  tenths  hund-
redths
From the place values, 0.27 is 2 tenths and 7 hundredths, or 2

10
 and  7

100
.
But that is two separate fractions. How can 0.27 be written as a single fraction??
 (Based on last lesson, you should already know!)  Mark 0.27 on the number line, too.
0 . 5 1
ones  tenths  hund-
redths
0.51 is 5 tenths and 1 hundredth = 0.5 + 0.01.
We can also write that using fractions:
0.51 =

5

10

+

1

100

  

=

50

100

+

1

100

  =  

51

100

Example problem types

1.  Break down each number into ones, tenths and hundredths. Use fractions and decimals. Then read the number.

a.   0.78 = 0.7 + 0.08
78

100
=

7

10

+

8

100

(seventy-eight hundredths)

c.   0.19 =
d.   1.25 = 1 + 0.2 + 0.05

 

 

f.   4.65 =

 



2.  Write as a decimal or as a fraction.
Decimal Fraction
a.

56

10

b.
2

35

100

c. 0.47
d. 1.23
Decimal Fraction
i.

3

100

j.
12

20

100

k.
8

4

10

l. 0.50

 
3.  Name the place value that has been underlined in the number.

a. 209.87 b. 503.49 f. 2,093.40 g. 2,093.40

 

4.  Write the following numbers as decimals.

a. 41

100
i. 10 +  20

100
b 6 +  80

100
j. 6000 + 40 + 4 + 6

100
d. 90 + 8 +  1

100
l. 2000 + 2 + 2

100

5.  Break down the following numbers.  Then read the numbers in two different ways.

a.
456.14 = 400 + 50 + 6 + 

14

100

f. 3203.00
e. 608.06 j. 0.55
 

6.  Fill in the blanks.

a.  0.45 = 0.05 + ___ g.  101.52 = 1 + 100 + 0.02 + ___
b.  0.78 = 0.7 + ____ h.  430.21 = 400 + 0.01 + 0.2 +  ____
c.  1.43 = 1 + ___ + 0.03 i.  14.05 = 10 + __ + 0.5

 

7.  Mark these decimals on the number line (approximately): 0.2  0.42  0.58  0.13  1.19  0.81  0.75

[number line available in the ebook]

 
8. Study the pictures.  Then write the following fractions as decimals.

=
1

4
= 25

100
=  0.25
 
=
1

5
= 20

100
=  0.20 = 0.2
a.    3

4
e.  2 1

4
f.  3 3

4
g.    2

5
k.  2 1

5
l.  3 4

5

 
9.  Match each expression from the first column with one from the second.

[available in the ebook]

 

Next lesson: Thousandths


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.

Find a local tutor - TutorBungalow.com

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Free math worksheets and practice - Adapted Mind



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