Free Printable Scientific Notation & Exponent Rules

1.

Island area is $6\times10^4\ m^2$ , divided equally among $3\times10^2$ people. What is the area per person?

a)

$2\times10^2$

b)

$2\times10^3$

c)

$3\times10^2$

d)

$2\times10^{4}$

2.

Simplify: $(m^2 n^3)^2$

a)

$m^4 n^6$

b)

$m^2 n^5$

c)

$m^6 n^2$

d)

$m^5 n^4$

3.

Simplify: $4x^{-3} y^{2}$

a)

$4y^2\div x^3$

b)

$4x^3 y^2$

c)

$4\div x^3y^2$

d)

$x^3y^2\div4$

4.

Simplify: $x^{-2} ÷ x^{-5}$

a)

$x^3$

b)

$x^{-3}$

c)

$x^{-7}$

d)

$x^7$

5.

Scientist observed $5.6\times10^3$ bacteria. Later the observed, $2.1×10^3$ fewer bacteria. What is the remaining bacteria?

a)

$3.5\times10^3$

b)

$7.7\times10^3$

c)

$3.5\times10^2$

d)

$2.1\times10^2$

6.

Express 5,600,000 in scientific notation.

a)

$5.6\times10^6$

b)

$5.6\times10^5$

c)

$5.6\times10^3$

d)

$5.6\times10^4$

7.

Simplify: $a^8 ÷ a^3$

a)

$a^5$

b)

$a^2$

c)

$a^{11}$

d)

$a^3$

8.

Estimate √20 to the nearest whole number.

a)

4

b)

5

c)

6

d)

7

9.

A processor completes $2.5\times10^7$ operations per second. In $4\times10^2$ seconds, how many total operations did the processor complete?

a)

$1.0\times10^{10}$

b)

$1.0\times10^9$

c)

$2.5\times10^9$

d)

$2.0\times10^{10}$

10.

Solve for n: $(3^7 ÷ 3^n)$ = $3^2$

a)

5

b)

9

c)

4

d)

-5

11.

Solve for x: $x^2 = 81$

a)

±9

b)

9

c)

3

d)

±8

12.

Which of the following is a perfect cube?

a)

64

b)

36

c)

48

d)

81

13.

Solve for n: $5^n \times 5^4 = 5^{-5}$

a)

-9

b)

1

c)

-1

d)

9

14.

Which number is irrational?

a)

√2

b)

4/5

c)

0.75

d)

3

15.

A spaceship traveled $4.2\times10^5$ km on its first journey and $3.8\times10^5$ km on its second journey. What is the total distance travelled?

a)

$8.0\times10^5$

b)

$8.0\times10^4$

c)

$7.0\times10^5$

d)

$4.0\times10^5$

16.

The mass of a cell is $4\times10^{-9}$ g, there are $3\times 10^{5}$ cells. What is the total mass?

a)

$1.2\times10^{-3}$

b)

$1.2\times10^{-4}$

c)

$1.2\times10^{-5}$

d)

$1.2\times10^{-2}$

17.

Two telescopes detect faint stars at $3.7\times10^{-7}$ and $2.9\times10^{-7}$ units of brightness. What is the combined faintest brightness?

a)

$6.6\times10^{-7}$

b)

$6.6\times10^{-6}$

c)

$5.7\times10^{-7}$

d)

$7.6\times10^{-7}$

18.

Which number is rational?

a)

7/8

b)

√3

c)

π

d)

√5

19.

Distance from Earth to Moon ≈ $3.84\times10^5$ km. A satellite traveled $2.5\times10^5 km$ . How much farther does the satellite need to travel?

a)

$1.34\times10^5$

b)

$1.84\times10^5$

c)

$2.5\times10^4$

d)

$3.4\times10^5$

20.

Solve for x: $x^3 = 27$

a)

3

b)

-3

c)

6

d)

-6

21.

Which of the following is a perfect square?

a)

49

b)

45

c)

50

d)

48

22.

One ant colony has $2.3\times10^6$ ants, another has $1.2\times10^6$ . How many more ants are in the first colony?

a)

$1.1\times10^6$

b)

$3.5\times10^6$

c)

$1.2\times10^6$

d)

$2.1\times10^6$

23.

Write the number 0.00057 in scientific notation.

a)

$5.7\times10^{-4}$

b)

$5.7\times10^{-5}$

c)

$5.7\times10^{-3}$

d)

$5.7\times10^{-6}$

24.

Simplify: $x^4 \times x^3$

a)

$x^7$

b)

$x^{12}$

c)

$x^1$

d)

$x^4$

25.

Estimate √50 to the nearest whole number.

a)

6

b)

7

c)

8

d)

9

Scientific Notation & Exponent Rules

Total questions: 25

Worksheet time: 13mins

Similar Resources on Wayground