Scientific Notation Worksheet With Answers Page 3

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ANSWERS
4
8
4
5
1. (a)
1⋅ 28 ×10
(b)
3⋅ 4 ×10
(c)
5 ⋅ 3 ×10
(d)
4 ⋅182 ×10
8
11
7
8
(e)
3⋅ 4 ×10
(f)
6 ⋅ 7 × 10
(g)
1⋅ 28 ×10
(h)
7⋅103 ×10
−3
− 5
−10
− 4
(i)
4 ⋅ 68 ×10
(j)
6 ⋅ 3 ×10
(k)
5 × 10
(l)
5 ⋅ 28 ×10
− 6
− 5
−1
−7
(m)
7⋅ 91× 10
(n)
3⋅ 52 ×10
(o)
6 ⋅ 3 ×10
(p)
3⋅ 02 ×10
5
− 6
13
−2
(q)
7 ×10
(r)
4 × 10
(s)
6 ⋅17 ×10
(t)
1⋅ 5 ×10
4
8
−7
−9
(u)
7 ×10
(v)
3× 10
(w)
1⋅ 26 ×10
(x)
7⋅ 5 × 10
2. (a) 700 000
(b) 30 000
(c) 430 000
(d) 52
(e) 3450
(f) 52 400 000
(g) 932
(h) 612 500
(i) 0 . 000 04
(j) 0 . 9
(k) 0 . 003 4
(l) 0 . 62
(m) 0 . 000 005 4
(n) 0 . 000 726
(o) 0 . 000 086 2
(p) 0 . 004 31
19
19
23
23
3. (a)
1⋅ 4508 × 10
= 1⋅ 45 ×10
(b)
1⋅ 0152 ×10
= 1⋅ 02 ×10
5
5
− 4
− 4
(c)
1⋅ 7752 × 10
= 1⋅ 78 × 10
(d)
3⋅ 3075 × 10
= 3⋅ 31×10
−14
− 14
− 20
− 20
(e)
9 ⋅ 724 ×10
= 9⋅ 72 ×10
(f)
1⋅10308 ×10
= 1⋅10 ×10
13
13
− 6
− 6
(g)
1⋅ 2631....×10
= 1⋅ 26 ×10
(h)
1⋅ 3842....× 10
= 1⋅ 38 × 10
13
13
− 22
− 22
(i)
2 ⋅1478....×10
= 2 ⋅15 ×10
(j)
2 ⋅ 2606....×10
= 2 ⋅ 26 ×10
− 8
− 8
8
8
(k)
7⋅ 7481....×10
= 7 ⋅ 75 × 10
(l)
7⋅1448....× 10
= 7⋅14 ×10
13
3
4. (a)
3⋅ 57 ×10
(b)
8 ⋅ 82 ×10
7
7
− 12
−12
(c)
1⋅ 80625 ×10
= 1⋅ 81× 10
(d)
1⋅1025 ×10
= 1⋅10 ×10
13
13
7
7
(e)
7⋅ 4088 ×10
= 7⋅ 41×10
(f)
7⋅ 77924 × 10
= 7⋅ 78 ×10
15
−10
− 10
(g)
8 ⋅ 00 ×10
(h)
2 ⋅ 4705....× 10
= 2⋅ 47 ×10
− 13
12
12
−13
(i)
2 ⋅ 5598....×10
= 2 ⋅ 56 ×10
(j)
1⋅ 8823....×10
= 1⋅ 88 ×10
10
10
− 6
− 6
(k)
1⋅ 2447....×10
= 1⋅ 24 × 10
(l)
1⋅ 5559....×10
= 1⋅ 56 × 10
23
23
− 21
−21
5. (a)
3⋅ 5844 × 10
= 3⋅ 58 × 10
molecules
(b)
3⋅ 3478....× 10
= 3⋅ 35 × 10
milligrams
−1
−1
4
4
3
6. (a)
2 ⋅ 6961....×10
= 2 ⋅ 70 × 10
grams
(b)
6 ⋅ 6763....×10
= 6 ⋅ 68 ×10
cm
19
19
− 24
− 24
7. (a)
2 ⋅ 6883....×10
= 2 ⋅ 69 ×10
atoms
(b)
6 ⋅ 6472....×10
= 6⋅ 65 × 10
grams
6
6
−5
−5
8. (a)
1⋅ 3206....× 10
= 1⋅ 32 × 10
(b)
6 ⋅ 0578....×10
= 6⋅ 06 × 10
metres
12
12
−10
−10
9. (a)
1⋅1031....×10
= 1⋅10 ×10
(b)
1⋅ 0878....×10
= 1⋅ 09 ×10
seconds
7
7
2
10.
3⋅ 7958....× 10
= 3⋅ 80 ×10
km
− 24
3
−24
11.
8 ⋅ 7845....× 10
= 8 ⋅ 78 × 10
cm
27
27
18
18
3
12. (a) 1⋅ 4122....× 10
= 1⋅ 41×10
km
(b) 1⋅ 9898.... × 10
= 1⋅ 99 × 10
tonnes

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