What are Exponents in Math? - Grade 7 Math Questions With Detailed Solutions

What are exponents in math? Grade 7 math examples and questions are presented along with detailed solutions. Detailed Solutions and explanations are included.

What are an exponents in math and where are they used?

Examples: Exponents in math are used

a) To represent A repeated multiplication of a number by itself as shown below.

exponent in math.

For example, 5 5 5 may be written as 5 3.

Hence 5 5 5 = 5
3, 5 is called the base and 3 is the exponent or power.

b) To represent large numbers in more simplified form.

Example: 100,000 = 10 10 10 10 10 = 10
5

c) To represent small numbers in more simplified form.

Example: 0.00001 = 1 / 100,000 = 1 / 10
5= 10 -5

d) To write units of area.

The area of a square of side 1 meter is : 1 meter 1 meter = (1 1)(meter meters)

= 1 meters
2

(read "meters
2" as meters squared, unit of area)

e) To write units of volume.

The volume of a cube of side 1 meters is : 1 meter 1 meter 1 meter

= (1 1 1)(meter meters meters)

= 1 meter
3

(read "meters
3" as meters cubed, unit of volume)

f) To represent prefixes used with units of measures such as grams, meters,....

Kilo means 1000 = 10
3

example: 1 kilogram = 10
3 grams = 1000 grams

Mega means 1000,000 = 10
6

example: 1 megabytes = 10
6 bytes = 1000,000 bytes

Giga means 1000,000,000 = 10
9

example: 1 gigabytes = 10
9 bytes = 1000,000,000 bytes


Solve the following exponents problems.(Solutions and explanations included)
  1. Write the following using exponents:

    a) 8 8 8 8

    b) 10 10 10 10 10 10 10

    c) A A A

    d) meter meter

    e) centimeter centimeter centimeter

  2. Evaluate the following:

    a) 2 4

    b) 10 4

    c) (-2) 4

    d) -2 4

  3. Use exponents to write the following using one power only.

    a) 4 8

    b) 25 5

    c) 16 4 4 3

    d) 2 2 8 2 3

    e) B B B 3

  4. Use exponents to rewrite the following expressions in simplified forms.

    a) 2 3 2 4

    b) 6 6 3

    c) 5 5 2 5 3

  5. Detailed Solutions and explanations are included.

More Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers

More High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers

More Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers

Author - e-mail

Home Page


Updated: 20 January 2017 (A Dendane)
Share
Additional Info