Decimal fractions
Place value practice with tenths
We are learning to use tenths
Example: Fill in your worksheet as shown
Example: 345.6
100
|
10
|
1
| |
3
|
4
|
5
|
6
|
Expanded number: 300 + 40 + 5 + 6/10
Exercise 1
What to do
- Fill in your worksheet
- Then expand your number
1) 34.5 (2) 8.7 (3) 2.1
4) 18.9 (5) 23.8 (6) 1.6
7) 0.5 (8) 0.2 (9) 3.9
10) 15.2 (11) 15 (12) 674
13) 1023 (14) 1045.6 (15) 300.1
16) 89.4 (17) 0.9 (18) 0.3
19) 104.3 (20) 100.5
Question
|
1000
|
100
|
10
|
1
|
Expanded number
| |
1.
|
3
|
4
|
5/10
|
30 + 4 + ⅕ = 34.2
| ||
2
|
8
|
7/10
|
8 + 1/7 = 8.14285714
| |||
3
|
2
|
1/10
|
2 + 1/1 = 3
| |||
4
|
1
|
8
|
9/10
|
10 + 8 + 1/9 = 18.1111111
| ||
5
|
2
|
3
|
8/10
|
20 + 3 + ⅛ = 23.12500
| ||
6
|
1
|
6/10
|
1 + ⅙ = 1.166
| |||
7
|
0
|
5/10
|
0 + ⅕ = 0.2
| |||
8
|
0
|
2/10
|
0 + ½ = 0.5
| |||
9
|
3
|
9/10
|
3 + 1/9 = 3.11111111
| |||
10
|
1
|
5
|
2/10
|
10 + 5 + ½ = 15.3
| ||
11
|
1
|
5
|
0
|
10 + 5 + 1/0 = 15
| ||
12
|
6
|
7
|
4
|
0
|
600 + 70 + 4 + 1/0 = 674
| |
13
|
1
|
0
|
2
|
3
|
0
|
1000 + 000 + 20 + 3 + 1/0 = 1023
|
14
|
1
|
0
|
4
|
5
|
6/10
|
1000 + 000 + 40 + 5 + ⅙ = 1045.16667
|
15
|
3
|
0
|
0
|
1/10
|
300 + 00 + 0 + 1/0 = 300
| |
16
|
8
|
9
|
4/10
|
80 + 9 +¼ = 89.25
| ||
17
|
0
|
9/10
|
0 + 1/9 = 0.11111111
| |||
18
|
0
|
3
|
1
|
9/10
|
000 + 30 + 1 + 1/9 = 31.1111111
| |
19
|
1
|
0
|
4
|
3/10
|
100 + 00 + 4 + ⅓ = 104.333333
| |
20
|
1
|
0
|
0
|
5/10
|
100 + 00 + 0 + ⅕ = 100.2
|
Exercise 2
What to do:
Write the expanded numbers as a decimal fraction
Question
|
100
|
10
|
1
|
1/10
|
Decimal fraction
|
A
|
4
|
3
|
403
| ||
B
|
8
|
9
|
89
| ||
C
|
2
|
3
|
4
|
6
|
234.6
|
D
|
3
|
6
|
306
| ||
E
| |||||
F
|
7
|
1
|
7.1
| ||
G
|
6
|
600
| |||
H
|
3
|
8
|
3.8
| ||
I
|
8
|
2
|
4
|
5
|
824.5
|
J
|
3
|
1
|
301
| ||
K
|
2
|
3
|
5
|
9
|
235.9
|
Exercise 3
Underline the tenths in each question
1) 34.6 (2) 78 (3) 345.9
4) 1234.6 (5) 67.9 (6) 0.012
7) 59.345 (8) 12345.8 (9) 456.67
10) 12.89 (11) 0.897 (12) 21.21
Exercise 4
Highlight the digit in the tens place
1) 24 741 (2) 18 932 (3) 78.043
4) 567.15 (5) 4536. 407
Exercise 5
Add one tenth () to each of these numbers
1) 0.7 + 0.1 = 0.8 (2) 0.3 + 0.1 = 0.4 (3) 12.0 + 0.1 = 12.1
4) 24.4 + 0.1 = 24.5 (5) 12.6 + 0.1 = 12.7 (6) 168.4 + 0.1 = 168.5
7) 2145.2 + 0.1 = 2145.2 (8) 0.9 + 0.1 = 1.0 (9) 23.9 + 0.1 = 24.0
Exercise 6
Take one tenth () from each of these numbers
1) 39.6 - 0.1 = 39.5 (2) 32.1 - 0.1 = 31.0 (3) 123.7 - 0.1 = 123.6
4) 0.89 - 0.1 = 0.88 (5) 45.6 - 0.1 = 45.5 (6) 56.1 - 0.1 = 55.0
7) 286. 2 - 0.1 = 286.1 (8) 39.1 - 0.1 = 38.0 (9) 8.2 - 0.1 = 8.1
WALT - We are learning identify and use tenths.
Today I have just finished my maths activity for week 5 term 2. What we have been learning about was add decimals. I hope you enjoy my maths work.
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