WorksheetsYear 7 Standard Form and Laws of Indices
Total questions: 20
Worksheet time: 57mins
Name
Class
Date
1.
Write 2 x 2 x 2 x 2 in index form
a)
23
b)
25
c)
16
d)
24
2.
Which one of these is in standard form?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
3.
Which of the following is in standard form?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
4.
How do you write 1001 in standard form?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
5.
The number below, when written in standard form is:
0.000 000 017 3a)
1.73 ×10−8
b)
1.73 ×108
c)
17.3 ×10−9
d)
1.73×10−9
6.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
7.
Simplify: w24 ÷ w8
a)
w16
b)
w3
c)
w32
d)
w24/8
8.
What is the correct law for powers of powers? (am)n =
a)
amxn
b)
am+n
c)
am x an
d)
amen
9.
What is the correct law for division? am ÷ an =
a)
am-n
b)
am - an
c)
am÷n
d)
am/n
10.
Simplify: 35 x 37
a)
312
b)
912
c)
335
d)
935
11.
Simplify: b17 x b5
a)
b22
b)
b85
c)
(b2)22
d)
b12
12.
Simplify: f0
a)
1
b)
f
c)
f1
d)
0
13.
Simplify: 3x3 × 6x8
a)
18x11
b)
18x24
c)
9x11
d)
9x24
14.
Simplify: 42m12 ÷ 7m6
a)
6m6
b)
6m2
c)
35m6
d)
35m2
15.
Simplify: (y7)2
a)
y14
b)
y49
c)
y5
d)
y9
16.
What is standard form?
a)
Writing numbers as a
calculator writes numbers
b)
A system of writing
very large or very small numbers
c)
Writing numbers as decimals
17.
True or False:
When writing
a number in standard form,
the first number must be
greater than 1 but less than 10.
a)
FALSE
b)
TRUE
18.
True or False:
13.7 × 103 is written in standard form.
a)
True
b)
False
19.
What is 45,000 written in standard form?
a)
45 × 103
b)
4.5 × 104
c)
4.5 × 103
20.
What is 0.00051
written in standard form?
a)
5.1 × 10-4
b)
51 × 10-4
c)
5.1 × 10-5
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