Lesson 7: Prefixes and Power of 10

Question 1

The expression 2x2x2 can be written using a _______ and an ________

Answer 1

Base

Exponent

Question 2

2x2x2= 2^3, this is called a ________. The expression is read _________

Answer 2

Power

2 to the third power

Question 3

An exponent may be _________, _________, or _________

Answer 3

positive
negative
Zero

Question 4

A positive exponent indicates

Answer 4

how many times the base is used as a factor

Question 5

A negative exponent indicates

Answer 5

how many times the reciprocal of the base is to be used as a factor

Question 6

A zero exponent with a non zero base indicates

Answer 6

that the value of the power is 1

Question 7

The expression 0^0 is ________

Answer 7

Undefined

Question 8

To evaluate an expression that has a negative exponent, you must?

Answer 8

replace the base with it’s reciprocal and replace the exponent with its opposite

Question 9

Any nonzero base to the power of 0 is

Answer 9

1

Question 10

To multiply powers that have the same base

Answer 10

add the exponents and use the same base

Question 11

Product of Powers states

Answer 11

For any number (a) except (a)=0, and all numbers (m) and (n): a^m x a^n = a^m+n

Question 12

When an exponent is not written, it is

Answer 12

1

Question 13

To divide the powers that have the same base

Answer 13

subtract the exponents and use the same base. Always subtract the exponent in the denominator from the exponent in the numerator

Question 14

Quotient of Powers states

Answer 14

For any number “a” except “a”=0, and all number “m” and “n”: a^m/a^n = a ^m-n

Question 15

Power of a Quotient states

Answer 15

For any nonzero numbers “a” and “b”, and all numbers “n”:

a/b)^n = (a^n/b^n

Question 16

To simplify a power of a power

Answer 16

multiply the exponents and use the same base

Question 17

Power of a Power states

Answer 17

For any nonzero number “a”, and all numbers “m” and “n”

a^m)^n=a^(m)(n

Question 18

Scientific notation is used for

Answer 18

representing very large or very small quantities.

Question 19

A number in scientific notation is a product of

Answer 19

(a number that is at least 1 and less than 10) X (a power of 10)

Question 20

To write a number in scientific notation you must

Answer 20

1. First move the decimal point to the immediate right of the first nonzero digit.
2. Count the number of space you moved the decimal point
3. Use that number as the exponent of 10
4. If you moved the decimal point to the Left it is a positive exponent, If it was moved to the Right it is a negative exponent

Question 21

The powers must have the same _______ to apply the Product of Powers and Quotient of Powers

Answer 21

base

Question 22

Engineering notation is similar to scientific notation but,

Answer 22

requires the exponent in the power of 10 be divisible by 3

the multiplier in front of the power of 10 must be at least 1 but less than 1,000

Question 23

What are the Powers of 10 in Engineering Notation?

Answer 23

Tera T 10^12
Giga G 10^9
Mega M 10^6
Kilo k 10^3
milli m 10^-3
micro u 10^-6
nano n 10^-9
pico p 10^-12

Question 24

The Square of a number is the _________ of that number.

Answer 24

Second Power

Question 25

A ______ of a number is a number that can be squared to get the given number.

Answer 25

Square root

Question 26

Every positive number has a ________ square root and a _______square root

Answer 26

Positve

Negative

Question 27

The Positive square root of a number is called the ________ and is the square root normally concerned with.

Answer 27

Principal square root

Question 28

The Product Property of Square Roots states

Answer 28

For any numbers “a” and “b” where “a” greater than or equal to 0 and “b” greater than or equal to 0, the square root of the product of (a)(b) = the square root of “a” x the square root of “b”

Question 29

Fraction Exponents, the square root of a number can be expressed using the fraction ____ as the exponent.

Answer 29

1/2

Question 30

When converting from a prefixed number to a whole number you must

Answer 30

multiply by the power of 10 for that prefix

Question 31

When converting from a whole number to a prefixed number you must

Answer 31

divide by the power of 10 or the value of the prefix

Question 32

When converting from a prefixed number to another prefixed number you must

Answer 32

Convert from Prefixed number to Whole number (multiply by power of 10)
Whole number to new prefixed number (divide by power of 10)