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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.
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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??
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(Based on last lesson, you should already know!) Mark 0.27 on
the number line, too.
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| 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: |
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0.51 = |
5
10 |
+ |
1
100 |
|
|
|
= |
50
100 |
+ |
1
100 |
= |
51
100 |
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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)
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|
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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 |
|
|
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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.
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|
|
|
= |
|
1
5
|
= |
20
100
|
= 0.20 = 0.2
|
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| 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: Add decimals with hundredths
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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.
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