Algebra #1

Question 1

Natural numbers

Answer 1

The set of counting numbers.

Example: 1, 2, 3, 4, 5, …

Question 2

Divisibility

Answer 2

When a number a, can be divided by a number b, and you have a remainder of zero.

Example: 10 is divisible by 5 because 10 ÷ 5 = 2 with no remainder.

Question 3

Prime Number

Answer 3

A natural number greater than 1 that has only itself and 1 as factors.

Example: 7 is a prime number because it is only divisible by 1 and 7.

Question 4

Composite Number

Answer 4

A natural number greater than 1 that is divisible by a number other than itself.

Example: 6 is a composite number because it is divisible by 2 and 3.

Question 5

Theorem

Answer 5

A statement that can be proved using deductive reasoning.

Example: The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Question 6

LCM (least common multiple)

Answer 6

The smallest natural number that is divisible by two or more natural numbers.

Example: The LCM of 4 and 6 is 12.

Question 7

Number Line

Answer 7

A graph we use to visualize the set of integers, as well as sets of other numbers.

Example: A number line showing integers from -5 to 5.

Question 8

Whole Number

Answer 8

The set of all natural numbers PLUS zero.

Example: 0, 1, 2, 3, 4, …

Question 9

Integer

Answer 9

The set of all natural numbers, zero, and the negatives of the natural numbers.

Example: -3, -2, -1, 0, 1, 2, 3, …

Question 10

Sum

Answer 10

The result of adding two or more numbers.

Example: The sum of 3 and 5 is 8.