Free Printable Number Sense and Operations

1.

How would you write 8,342,000,000 in scientific notation?

a)

$8.342\ \times10^8$

b)

$8.342\ \times\ 10^9$

c)

$8.3\ \times10^9$

d)

$8.342\times10^{10}$

2.

Which number below represents $9.25\times10^{-6}$ ?

a)

0.000925

b)

0.000000925

c)

0.00000925

d)

0.0000093

3.

Jessica's math teacher placed the following numbers on the board and asked the class to put them in order from least to greatest. $3.4\ \times10^{-2},\ 2.6\times10^3,\ 7.5\times10^{-1},\ 9.8\times10^0$

a)

$2.6\times10^3,\ 3.4\times10^{-2},\ 7.5\times10^{-1},\ 9.8\times10^0$

b)

$3.4\times10^{-2},\ 7.5\times10^{-1},\ 9.8\times10^0,\ 2.6\times10^3$

c)

$9.8\times10^0,\ 7.5\times10^{-1},\ 3.4\times10^{-2},\ 2.6\times10^3$

d)

$2.6\times10^3,\ 9.8\times10^0,\ 7.5^{-1},\ 3.4\times10^{-2}$

4.

Which expression is in simplified form of $x^2\times x^5,\ when\ x\ne0$

a)

$x^{-3}$

b)

$x^3$

c)

$x^7$

d)

$x^{10}$

5.

Evaluate the exponent: $4^{-3}$

a)

$-12$

b)

$\frac{1}{64}$

c)

$-\frac{1}{12}$

d)

$-\frac{1}{64}$

6.

Which expression is in simplified form of the product shown below? $\left(7\times10^4\right)\left(8\times10^3\right)$

a)

$1.5\times10^7$

b)

$5.6\times10^8$

c)

$5.6\times10^7$

d)

$1.5\times10^8$

7.

The U.S. Olympic Team has long distance runners who run a 10,000 meter race. If a runner was to run 50 races, how many centimeters would that be?

a)

$5.0\times10^8cm$

b)

$5.0\times10^7\ cm$

c)

$5.0\times10^6cm$

d)

$5.0\times10^5\ cm$

8.

The Earth is 146 million kilometers from the sun and Neptune is 4.5 billion kilometers from the sun. What is the difference in these two distances expressed in scientific notation?

a)

$4.354\times10^9\ km$

b)

$4.354\times10^8km$

c)

$4.354\times10^7km$

d)

$3.364\times10^9\ km$

9.

Scientists use microscopes to magnify very small objects so they can be seen with the human eye. If a microscope is set to a magnification of 10,000 times the size of the object, how long is an actual sample of a cell if it appears to be 0.743 cm long?

a)

$7.4\times10^{-5}\ cm$

b)

$7.43\times10^{-5}\ cm$

c)

$7.43\times10^{-4}\ cm$

d)

$0.743\times10^{-5}cm$

10.

Evaluate the expression below: $-6\ +\ 4\ \times\left(16-8\ \div2\right)$

a)

-24

b)

-8

c)

10

d)

42

11.

Solve the expression below for
x = 4 and y = 3.

$2x^2\ -\ 6y\ +\ \left(16\ +\ 4\div2\right)\ +y$

a)

12

b)

27

c)

32

d)

35

12.

Which os the following is equivalent to the expression below? $\frac{4^8}{4^2}$

a)

$4^4$

b)

$4^6$

c)

$4^{10}$

d)

$4^{16}$

13.

A space shuttle travels at $2.6\times10^4$ feet per second. An hour is $3.6\times10^3$ seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. $\left(2.6\times10^4\right)\left(3.6\times10^3\right)$
How many feet does the shuttle travel in an hour?

a)

$6.2\times10^1\ feet$

b)

$6.2\times10^{12}\ feet$

c)

$9.36\times10^{7\ }feet$

d)

$9.36\times10^{12}\ feet$

14.

The amount of money, in dollars, Sandy earns for working h hours is represented by this expression.

15h

How much money does Sandy earn for working 35 hours?

a)

$20

b)

$50

c)

$525

d)

$1535

Number Sense and Operations

Total questions: 14

Worksheet time: 1hrs 10mins

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