Scientific Notation Worksheet With Answers
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1
2
3SCIENTIFIC NOTATION
(Standard Form)
1. Write in scientific notation:
(a) 12 800
(b) 340 000 000
(c) 53 000
(d) 418 200
(f) 670 000 000 000 (g) 12 . 8 million
(e) 340 million
(h) 710 300 000
(i) 0 . 004 68
(j) 0 . 000 063
(k) 0 . 000 000 000 5 (l) 0 . 000 528
(m) 0 . 000 007 91
(n) 0 . 352
(o) 0 . 000 063
(p) 0 . 000 000 302
3
− 8
12
−3
(q)
700 ×10
(r)
400 ×10
(s)
61⋅ 7 × 10
(t)
15 × 10
5
− 4
9
−7
(u)
0 ⋅ 7 × 10
(v)
0 ⋅ 003× 10
(w)
0 ⋅126 ×10
(x)
0 ⋅ 075 ×10
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2. Write as a normal number:
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5
4
5
1
(a)
7 ×10
(b)
3× 10
(c)
4 ⋅ 3 ×10
(d)
5 ⋅ 2 ×10
3
7
2
5
(e)
3⋅ 45 × 10
(f)
5 ⋅ 24 × 10
(g)
9 ⋅ 32 × 10
(h)
6 ⋅125 ×10
− 5
− 1
−3
−1
(i)
4 × 10
(j)
9 × 10
(k)
3⋅ 4 ×10
(l)
6 ⋅ 2 ×10
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− 4
− 3
−6
−5
(m)
5 ⋅ 4 ×10
(n)
7⋅ 26 × 10
(o)
8 ⋅ 62 ×10
(p)
4 ⋅ 31× 10
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All of the following questions will require a calculator. Write answers both before and after rounding.
Write your answers in scientific notation and correct to 3 significant figures.
(
)
(
)
(
)
(
)
12
6
7
15
3. (a)
3⋅12 ×10
× 4 ⋅ 65× 10
(b)
4 ⋅ 7 × 10
× 2 ⋅16× 10
(
)
(
)
(
8
)
(
− 4
)
−14
9
(c)
5⋅ 6 × 10
× 3⋅17 ×10
(d)
6 ⋅ 3×10
× 5 ⋅ 25× 10
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(
)
(
− 9
)
(
)
(
− 6
)
−5
−15
(e)
2⋅ 86 × 10
× 3⋅ 4 × 10
(f)
8⋅ 72 ×10
× 1⋅ 265 × 10
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(
)
(
)
(
)
(
)
19
6
9
15
(g)
7 ⋅ 2 ×10
÷ 5⋅ 7 × 10
(h)
2 ⋅ 63×10
÷ 1⋅ 9 ×10
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9
− 8
−12
−6
9⋅15 × 10
8 ⋅ 5 ×10
6 ⋅ 4 × 10
5⋅18 × 10
(i)
(j)
(k)
(l)
− 4
14
−5
−15
4 ⋅ 26 ×10
3⋅ 76 × 10
8 ⋅ 26 ×10
7⋅ 25 × 10
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3
9
− 6
A
B
C
4. If
= 4 ⋅ 25 ×10
,
= 8 ⋅ 4 ×10
and
= 1⋅ 05 × 10
, evaluate:
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2
2
AB
BC
A
C
(a)
(b)
(c)
(d)
€
B
C
2
2
B
C
B C
(
)
(e)
(f)
(g)
(h)
€
€
€
C
€
A
2
A
B
A
A
+ B
+ C
(i)
(j)
(k)
(l)
€
€
B
AC
C
B
€
€
€
€
€
€
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