Lesson Two

Question 1

Divisible

Answer 1

A number is divisible by a second number if the number can be divided by the second number with a remainder of 0.

Question 2

Divisibility Tests for 2

Answer 2

The ones digit is 0, 2, 4, 6, or 8

Question 3

Divisibility Tests for 3

Answer 3

The sum of the digits is divisible by 3

Question 4

Divisibility Tests for 4

Answer 4

The last two digits are divisible by 4

Question 5

Divisibility Tests for 5

Answer 5

The ones digit is 0 or 5

Question 6

Divisibility Tests for 9

Answer 6

The sum of the digits is divisible by 9

Question 7

Divisibility Tests for 10

Answer 7

The ones digit is 0

Question 8

Factor

Answer 8

An integer that divides another integer with a remainder of 0

Question 9

Prime Number

Answer 9

Is a whole number greater than 1 with exactly two factors, 1 and the number itself

Question 10

Composite Number

Answer 10

Is a whole number greater than 1 with more than two factors.

Question 11

Prime Factorization

Answer 11

A composite number written as a product of only prime numbers. There is only one prime factorization for a number, regardless of the order of the factors

Question 12

Greatest Common Factor (GCF)

Answer 12

The GCF of two or more numbers is the greatest number that is a factor of all of the numbers.
Ex: The GCF of 42 and 36
42: 1, 2, 3, 6, 7, 14, 21, 42
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors 1, 2, 3, and 6 are common to both numbers. So the GCF of 42 and 36 is 6.

Question 13

Rational Number

Answer 13

a number that can be written in the form a/b, where a is an inteer and be is any nonzero integer.

Question 14

Relatively Prime

Answer 14

two integers, a and b, if 1 is their only common factor. A fraction a/b is in simplest form when a and b are relatively prime.

Question 15

Terminating Decimal

Answer 15

if the division results in a decimal that stops

Question 16

Repeating Decimal

Answer 16

if the division results in a decimal that repeats the same digit or group of digits forever.

Question 17

Least Common Multiple

Answer 17

The LCM of two or more numbers is the least multiple that is common to all of the numbers.

Question 18

Least Common Denominator

Answer 18

The LCM of the denominators is the least multiple that is common to all of the denominators.

Question 19

Reciprocals

Answer 19

Two numbers with a product of 1. The reciprocal of a/b is b/a, where a does not equal 0 and b does not equal 0.

Question 20

Multiplicative Inverse

Answer 20

Another name for the reciprocal of a number.

Question 21

Exponent

Answer 21

tells how many times a number, or BASE, is used as a factor

Question 22

Power

Answer 22

An expression using a base and an exponent.

Question 23

Scientific Notation

Answer 23

Useful for representing and working with very large or very small numbers. A number is in scientific notation if the first factor is greater than or equal to 1 and less than 10 and second factor is a power of 10.

Multiplying a number by 10 raised to n power, when n is positive, moves the decimal point n places to the right.

Multiplying a number by 10 raised to n power, when n is negative, moves the decimal point n places to the left.