Transcript 5 - Rounding to significant figures File

Round to
1 dp
0.34
A)
0.4
B)
0.3
C)
0.35
D)
3
Round to
1 dp
13.374
A)
13.0
B)
14.0
C)
13.38
D)
13.4
Round to
1 dp
0.98
A)
0.99
B)
0.9
C)
0.10
D)
1.0
Round to
1 dp
26.519
A)
25.0
B)
26.6
C)
26.0
D)
26.5
Round to
2 dp
23.1782
A)
23.20
B)
23.18
C)
23.10
D)
23.17
Round to
3 dp
0.00417
A)
0.00417
B)
0.004
C)
0.00418
D)
0.005
Round to
2 dp
4.999
A)
4.99
B)
4.90
C)
5.00
D)
4.98
Rounding to Significant Figures
•
•
•
Explain the difference between rounding to
decimal places and significant figures
Round whole numbers and decimals to stated
number of significant figures
Justify decisions to round to a given number
of significant figures
“The average wage in the UK
rises to £26,643.14 per year”
Average wages reach £27,000
“The average wage in the UK rises to
£26,643.14 per year”
Average wages reach £30,000
“The average wage in the UK rises to
£26,643.14 per year”
Average wages reach £26,600
“The average wage in the UK rises to
£26,643.14 per year”
Are the newspapers telling the
truth?
Significant Figures (Rounding)
Numbers can be rounded to 1,2, 3 or more significant
figures. We count the number of figures from the first
non-zero digit.
Rounding to 1 s.f
4.3325
5. 7 4 2 5
5 or bigger ?
5 or bigger ?
5 or bigger ?
No
Yes
No
4
6
0. 0 4 2 5
First
non-zero
digit.
0.04
Significant Figures (Rounding)
Rounding to 1 s.f
0.0 76
First
non-zero
digit.
0. 0 0 1 5
First
non-zero
digit.
5 or bigger ?
5 or bigger ?
Yes
Yes
0.08
0.002
Significant Figures (Rounding)
Rounding to 2 s.f
1.4729
0. 0 5 3 5
First
non-zero
digit.
5 or bigger ?
5 or bigger ?
Yes
Yes
1.5
0.054
Significant Figures (Rounding)
Rounding to 2 s.f
6.0729
0. 0 0 0 5 6 3
First
non-zero
digit.
5 or bigger ?
5 or bigger ?
Yes
No
6.1
0.00056
Significant Figures (Rounding)
Rounding to 3 s.f
First
non-zero
digit.
2.0759
0. 0 2 0 4 6 3
5 or bigger ?
5 or bigger ?
Yes
Yes
2.08
0.0205
Number
4213
6435
23.65
43.89
0.0465
0.009231
0.9649
0.4054
0.07008
0.4109
0.005007
To 3 s.f.
To 2 s.f.
To 1 s.f.
Starbucks announces a yearly
profit of
£253, 546, 982.34
Prime Minister announces
yearly wage of
£142, 453, 056.49
8, 712 people die in Sichuan
Earthquake
There are 2, 469, 621 Muslims
in the UK today
The average house price in the
UK is £163,493.78
“The UK government spent
£56, 312, 576, 483. 56
on education in the 2012 –
2013 financial year”
Population of
England reaches
56, 831, 163
Asda to drop the
price of Bananas
by 6.082%
Total of 2,299,355
students at
university in
October 2013/14.
Economists forecast
rise in price of
milk by 0.506%
next month
Round-
0.23 to 1 s.f
A)
0.3
B)
2
C)
0.2
D)
3
Round-
0.045 to 1 s.f
A)
0.04
B)
0.1
C)
0.0
D)
0.05
Round-
623 to 1 s.f
A)
600
B)
620
C)
630
D)
700
Round-
5328 to 1 s.f
A)
5300
B)
5000
C)
5330
D)
6000
Round-
0.005136 to 2 s.f
A)
0.01
B)
0.0050
C)
0.00514
D)
0.0051
Round-
426.213 to 2 s.f
A)
426.21
B)
430
C)
400.00
D)
420
Round-
3002.01 to 3 s.f
A)
300
B)
3000
C)
3010
D)
3002.0
Round-
983.4 to 1 s.f
A)
100
B)
900
C)
980
D)
1000
Round-
0.00456 to 2 s.f
A)
0.0045
B)
0.004
C)
0.0046
D)
0.00
Round-
36345.3 to 3 s.f
A)
36300
B)
4000
C)
36000
D)
45300