powerpoint presentation€¦ · 11/07/2020 · 4.1×10−4 1 4100 1 7200 7.1×10−4 70×10−3...
TRANSCRIPT
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• 𝐴 × 10𝑛 , 1 ≤ 𝐴 < 10
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𝑎 < 𝑥 ≤ 𝑏•
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10 × 103 ≠ 103
= 1000 000 000 = 109
108
(102)3 102 × 310000 × 100000?
1012
107
107 × 101020
103 × 103 = 10 × 105 106+4 = 103 × 10
100𝑎 = 109106 × 𝑏 = 1010 104 × 𝑐 = 1012
100 =106
𝑑
106
𝑒= 103
106
𝑓= 106
53103
2
10 × 10 × 10 = 103
10 × 10 × 10 × 10 = 104
10 × 10 × 10 × 10 × 10 = 105
𝐴 × 10𝑛 𝐴
𝑛
0.8 × 104 4 × 100.8
4 × 1050
>
300000= 3 × 10000= 3 × 104
6000000= 6 ×
= 6 × 10
70000= 3 × 10000= 3 × 104
5.2 × 106
40000 = 4 × 104
4000 = 4 × 103
400 = 4 × 102
42 0 = 4.2 × 102
425 = 4.25 × 102
4250 = 4.25 × 103
5 × 103
6 × 103
5.5 ×103
100
100 = 0 10−2 = −100
10−2
100 80
𝑥0 𝑥
1
103 × 1001
10000
1
10
1
104
0.01 10−1 10−5 × 103 10−3
< ,> =
103 = 10−4103 = 104 10−3 = 104
10−3 = 10−4 101 = 10−2 101 = 102
100
3 × 10−1 = −0.3
3 ×10−4 3 × 104
4 × 10−3 5 × 10−4
5.6 × 10−3
3 × 1041
341
30000
1
30003 × 10−4
0.045
0.54
0.054
0.0504
5.4 × 10−2
4.5 × 10−2
0.004054.05 × 10−3
5.04 × 10−2
0.0405
5.4 × 10−14.05 × 10−2
5 = 5 × 1 = 5 × 100
0.5 = 5 × 0.1 = 5 × 10−1
0.05 = 5 × 0.01 = 5 × 10−2
0.006 = 6 × 0.0001 = 6 × 10−3
4.5 = 4.5 × 1 = 4.5 × 100
0.45 = 4.5 × 0.1 = 4.5 × 10−1
0.045 = 4.5 × 0.01 = 5 × 10−2
0.0045 = 4.5 × 0.001 = 6 × 10−3
0.03023.2 × 10−2
0.0302 3.02 × 10−2
3 × 104 4 × 103
4.1 × 10−41
4100
1
72007.1 × 10−4
70 × 10−3 7.2 × 101 7.5 × 100
7
7000
0.73
6.13, 7.31, 6.31, 6.301 6.013
6 × 104 6.9 × 103 6.8 × 10−1 6.7 × 16
BC
71000 7.1 × 105
30 × 300 9.5 × 10−3
5.6 × 106 6 × 105 1 × 100 1 × 0
0.4 4 × 10−1
6 × 107 6.3 × 107 6.03 × 107 6.18 × 107A
24 × 108
24 = 2.4 × 101
2.4 × 101 × 108 = 2.4 × 109
200 × 106
2000.2 × 104 0.2 × 10−4
6 × 5 × 103 4 × 2 × 103
3 × 2 × 106
= (3 × 2 ) × 106
= 6 × 106
(7 × 10−4) ÷ 2= 7 ÷ 2 × 10−4
= 3.5 × 10−4
8 × 107 × 2 = 16 × 107
= 1.6 × 101 × 107 = 1.6 × 1017
2 × 2.5 × 106 (9.3 × 10−4) ÷ 3
2 × 108 ÷ 4 0.5 × 108
5 × 1095 × 107
3 × 6 × 106
= 3 × 6 × 106
= 18 × 106
= 1.8 × 101 × 106
= 1.8 × 107
7 × 104 × 1000= 7 × 104 × 103
= 7 × 106
(2 × 10−5) ÷ 5= 0.4 × 10−5
= 4 × 10−1 × 10−5
= 4 × 10−6
3 × 104 + 8 × 104 = 11 × 104
10−3 + 103
+ –7 × 103 + 2 × 103
= 7000 + 2000= 9000
= 9 × 1000= 9 × 103
= 7 + 2 × 103
= 9 × 103
6 × 10−3 + 1.5 × 103 7 × 105 − 5 × 105
9.6 × 105 − 3.2 × 1048.2 × 10−6 − 1.2 × 10−6
6 × 104 + 2.3 × 103 = 6.23 × 104
6 × 104 + 2.3 × 105 = 2.9 × 105
6 × 10−6 + 2.3 × 10−6 = 8.3 × 10−6
8 × 104 + 9 × 104 17 × 104
30 × 107
(4 × 105) ÷ 2 × 1064×105
2×106
(3 × 104) × (2 × 104)
× ÷3.2 × 102 × 2 × 104
(8 × 106) ÷ 4 × 103
5 × 106 ÷ 2 × 103
2 × 108 × (1.6 × 10−12) 2.8 × 10−4 + (4 × 10−5)
4 × 10−4 − (8 × 10−3) 9.6 × 105 ÷ (3 × 109)
2.5 × 102 3 × 103
(3.2 × 2) × (102× 104
(8 ÷ 4) × (106 ÷ 103)
2.4 × 105
2.4 × 10−5
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𝑎 = 3.2 × 104 𝑏 = 2.1 × 10−3
𝑏3 𝑎 ÷ 𝑏3 2𝑎 ÷ 𝑏2
𝑎2 − 2𝑏 𝑎2 + 2𝑏 𝑎 − 2𝑏 2
5−2 ≠ −25 5−2 ≠ −1
25
2−3
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5−1 = 1 ÷ 5 =1
51=1
5
5−2 = 1 ÷ 52 =1
52=
1
25
5−3 = 1 ÷ 53 =1
53=
1
125
−61
−8
1
8
1
−6
1−1 2−2 32
3−2
23
2−3 1−10
161
2 × 161
2
161
2 × 161
2 = 161
2+1
2 = 161
251
2 491
2
271
3
8
6413
10364
12 100
12
100013 10−3641 100
6412
23 51213
21613
161
2 161
161
2 16