Transcript 2 significant figures 56 000 000 3 significant figures 378 000 27.3 to nearest million 0.005 32 to nearest whole 0.0062 to 4 dec pl 4 significant figures to nearest 1000 56.0 to nearest tenth to.

2 significant figures
56 000 000
3 significant figures
378 000
27.3
to nearest
million
0.005 32
45
to nearest
whole
0.0062
to 4 dec pl
4 significant figures
to nearest 1000
56.0
to nearest tenth
to 1 dec pl
3050
to nearest
hundred thousandth
to 5 dec pl
7002
5.308
0.004 07
to 3 dec pl
to nearest tenth
to nearest ten
to 5 dec pl
M May
Round each of the following to 3 significant figures
34 629
34 600
73 579
73 600
1347
1350
45.666
45.7
2.8369
2.84
173.92
174
0.004683
0.00468
9044
9040
0.04968
0.0497
12.345
12.3
0.000 083 76
0.000 083 8
47.73
47.7
31.655
31.7
919.9
920
2547
2550
Round each of the following to 2 sig fig
8 776 341
8 800 000
0.085 726
0.086
31.793
32
129.3
130
258.6
260
2040
2000
91 832
92 000
1.036
1.0
428
430
35.67
36
M May
= 5.43
x 10 4
= 5.0104
x 10 5
54 300
300
= 3
x
102
426
6700
= 6.7
501 040
= 4.26
x
x
102
103
Write each of the following in standard form :
1. 2730
= 2.73 x 103
5. 1 000 000
= 1 x 106
8. 377
= 3.77 x 102
2. 35.9
= 3.59 x 101
3. 42 398
= 4.2398 x 104
6. 23 456
= 2.3456 x 104
9. 7.3
= 7.3 x 100
4. 670
= 4.67 x 102
7. 70.6
= 7.06 x 101
10. 4
= 4 x 100
M May
Write in full:
4.23 x 104
= 42 300
2.1 x 103
= 2 100
Small numbers:
200
20
2
0.2
0.02
0.002
…….
5.32 x 102
= 532
7.89 x 106
= 7 890 000
5.2 x 100
= 5.2
2 x 10 2
2 x 10 1
2 x 10 0
2 x 10 -1
2 x 10 -2
2 x 10 -3
7.5 x 104
= 75 000
0.064
0.000 047
=
6.4
x
= 4.7
10 - 2
x
10 - 5
M May
Write in Standard Form
12 533
Write in full
4 x 10 4
= 1.2533 x 10 4
0.0473
= 40 000
2.5 x 10 2
= 4.73 x 10 - 2
5.72
= 250
5.38 x 10 -3
= 5.72 x 10 0
0.682
= 6.82 x 10 - 1
= 0.00538
4 x 10 0
= 4
M May
EE
or
in place of
Exp
x
on scientific calculator
5.3
10n
03
on display means 5.3 x 103
5.3 x 103 x 2.7 x 104
= 1.431 x 108
without calculator / estimate
5 x 103 x 3 x 104
= 5 x 3 x 103 x 104
= 15 x 107
= 1.5 x 10 x 107
= 1.5 x 108
5.3Exp3 x 2.7Exp4
2.83 x 102 x 9.167 x 103
estimate
3 x 9 x 102 x 103
27 x 105 = 2.7 x 106
= 2.594261 x 106
= 2.59 x 106 to 3 sig fig
M May
Estimate first, then calculate, round your final answer to 3 sig fig:
4.27 x 102 x 2.137 x 105
= 9.12499 x 107
= 9.12 x 107
= 4 x 2 x 102 x 105
= 8 x 107
2.27 x 108 x 2.936 x 107
= 2 x 3 x 108 x 107
= 6.66472 x 1015 = 6 x 1015
= 6.66 x 1015
8.23 x 103 x 5.747 x 102
7.63 x 101 x 5.143 x 105
= 8 x 6 x 103 x 102
= 47.29781 x 105 = 48 x 1056
= 4.8 x 10
6
= 39.24109 x 106
= 39.2 x 106
=-33 x 2 x 10-1 x 10-2
= 5.23124 x 10 = 6 x 10-3
9.14 x 10-2 x 7.666 x 10-4
= 72 x 10-6
= 70.06724 x 10-6
= 7.2 x 10--5
= 7.01 x 10-5
= 4.73 x 10
3.14 x 10-1 x 1.666 x 10-2
= 5.23 x 10-3
1.55 x 105 x 3.419 x 10-3
=
=
5.29945 x 102
5.30 x 102
= 6 x 102
= 8 x 5 x 101 x 105
= 40 x 106
= 4 x 107
7.25 x 10-6 x 4.119 x 103
=
28
x 10-3
= 29.86275 x 10 -3
= 2.8 x 10--2
-2
= 2.99 x 10
M May