Rational and Irrational numbers on a number line(1)
Starter - answer at the back of your book.
1) Express 0.86 as a fraction.
2) Express 2.4 as a fraction.
3) Express 5/8 as a decimal.
4) Is √65 a rational number? Explain.
5) Use a number line to approximate the value of √142.
Rational and Irrational numbers on a number line(1)
Ordering real numbers
We are going to order these decimals from least to greatest.
0.47,
0.474,
0.47, √0.23
First, decide if these numbers are rational or irrational.
Write them to 6 decimal places.
0.477777...
0.474474...
0.474747...
0.479583...
Rational and Irrational numbers on a number line(1)
Your turn to order these decimals from least to greatest.
0.52,
0.525,
0.525, √0.276
First, decide if these numbers are rational or irrational.
Write them to 6 decimal places.
0.525252...
0.525525...
0.525555...
0.525357...
Rational and Irrational numbers on a number line(1)
Which of the following numbers are irrational?
4.7
6
√47
2π
5¼
Estimate where they will lie on a number line.
4
2π
5¼
4
5
4.7
7
6
5
6
7
6
√47
Working in pairs decide where the rational and irrational numbers
would lie on a number line.
Rational and Irrational numbers on a number line(1)
Working in pairs decide where the rational and irrational numbers
would lie on a number line.
A
3/7
√8
4
4.06
5.6
B
5/7
√2
2.05
3
7.0
C
2/5
√5
2.61
4.3
9
D
1.04
1.4
22/3
√10
5
E
4
1
√3
2.5
8.82
F
-3/4
2.6
√15
5.2
6
G
√7
4½
8.5
8.53
9
H
2/3
1.4
√13
7
8.83
I
-7/10
2
2.0
2.07
√11
J
12
√ /3
√6
4
5.5
6.3
/9
Rational and Irrational numbers on a number line(1)
Working in pairs decide where the rational and irrational numbers
would lie on a number line.
K
-√7
2/5
0.95
L
4/9
√3
√9.3
M
-4π
√0.3
N
-√3
O
½π
√4
π
7.92
8
√2
3
3.86
9/2
2/3
√9.6
2π
7.73
9
-7/10
√1.2
√π
√4
3.46
7
P
-√3.4
√π
√12/3
2.14
√5
7
Q
-(2xπ)
-√0.2
√3
R
5/7
√2
√2.6
3.43
S
-π
0.6
√3
√6.4
T
- 3 /4
¼π
2
1
23/7
6.14
4.24
5
3π
10
8
/3
√9.0
7
√19