What are exponents in maths? Grade 7 maths examples and algebra questions are presented along with detailed solutions. Detailed Solutions and explanations are included.
What are an exponents in maths and where are they used?
. 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

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