Exponents & Powers of 10
Evaluate Each Expression
1. (102) (1014)
2. (105) (1023)
1. 1016
2. 1028
Write in standard form
3.5 x 10-7
0.45 x 107
9.2 x 10-3
1. 0.00000035
2. 4,500,000
3. 0.0092
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(6.1 x 10-5)(4.2 x 10-3)
2.562 x 10-7
5.8 x 104 + 7.1 x 105
7.6 x 104
(109)2
(103) -2
1018 & 1/106
Write into scientific notation
0.032
452
0.00365
1. 3.2 x 10-2
2. 4.5294 x 102
3. 3.65 x 10-3
(3 x 104) * (9 x 103)
(2.3 x 102) + (3.2 x 102)
1. 27 x 107
2. 5.5 x 102
1.25 x 104 divided by 5 x 102
0.25 x 102
21.3 x 105 + 1.55 x 106
3.68 x 106
(9.3)2
(33) * (23)
(10-5)* (106)
84.64
216
101
1. If I have a negative exponent, then my answer is a (small or big) number.
2. If I have a positive exponent, my number should be a (small or big) number.
3. My factor in scientific notation needs to be between _#__ & _#__ in order for it to work.
1. Small
2. Big
3. 0 & 10
Write in scientific notation
0.000000000000000000000000034
3.4 x 10-26
(4.3 x 104) (1.2x 105)
5.16 x 109
(2.5 x 106) - ( 1.3 x 103)
6.75 x 103
True or false, why?
(1/3)2 * (1/3)4=
2. 32 * 53 = 9*125= 1,125
3. 34 + 32 = 36
1. True
2. True
3. False
True or false, why?
1.92 x 10-3= 1920
4320 in scientific notation is 4.320 x 103
1. False
2. True
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18.9 x 106 divided by 0.3 x 102
6.4 x 105
(2.4 x 105) + (3.1 x 105)
5.5 x 105
1. 106/1012 =
2. (43) * (53) =
3. (105/103) * (105/103)=
1. 1/106
2. 8,000
3. 101
Why is the scientific notation used? What makes it useful for us? Explain, go in depth.
Scientific notation helps us be able to represent very large and very small numbers with ease. It makes it much easier to use instead of writing out. Especially in number lines or measurement, it makes things much easier to see.
(4.2 x 104) - (11.2 x 103)=
3.08 x 104
(8.9 x 105)4
6274 x 1023
(2.32 x 103) - (12.3 x 105)
1.09 x 106