C1 Assembling Tools

Question 1

Real numbers

Answer 1

cover the gamut and can take on any form—fractions, whole numbers, decimal numbers and can go on forever without end, positive or negative.

Question 2

Counting Numbers (natural numbers)

Answer 2

start with one going up by ones: 1,2,3,4,5 and so on into infinity.

Question 3

Whole numbers

Answer 3

are just all counting numbers plus a 0: 0,1,2,3,4 and so on into infinity

Question 4

Integers

Answer 4

can be described as being positive and negative whole numbers -2, -1, 0, 1, 2,

Question 5

Rational numbers

Answer 5

can be expressed as a fraction or a decimal that ends somewhere or it has a repeating pattern .666¯ horizontal bar over a number lets you know the number repeats indefinitely.

Question 6

Irrational numbers

Answer 6

cannot be written as a fraction and the decimal values never end.

Question 7

Prime Numbers

Answer 7

can be divided evenly by exactly two numbers; 1 and itself.

Question 8

Composite Numbers

Answer 8

aren’t prime and can be divided by at least three numbers e.g. 12 can be divided by 1,2,3,4 and 6.

Question 9

Additive inverse

Answer 9

numbers that are opposite in sign but otherwise the same. -3 and 3 sum is 0 when added together.

Question 10

Multiplicative inverse

Answer 10

is a reciprocal: a reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1!

Question 11

Operation

Answer 11

is an action performed upon one or two numbers to produce a resulting number—addition, subtraction, multiplication, division, square roots, etc.

Question 12

Expression

Answer 12

is any combination of values and operations that can be used to show how things belong together and compare to one another. 2x² + 4x is and example.

Question 13

Equation

Answer 13

an equation uses a sign to show the relationship—that two things are equal.

Question 14

Inequality

Answer 14

is a comparison of two values—not equal.

Question 15

Variable

Answer 15

is a letter representing some unknown; a variable always represents a number, but it varies (hence the name) until it is written into an equation or into inequality. By convention letters towards the end of the alphabet x, y, and z usually get assigned to variables.

Question 16

Coefficients

Answer 16

A number that multiplies the variable and tells how many of the variable.

Question 17

Factor

Answer 17

any of the values involved in a multiplication problem that, when multiplied together, produce a result

[numbers and variables]

Question 18

Term

Answer 18

a group of number(s) and/or variable(s) connected to one another by multiplication or division and seperated from other terms by addition or subtraction

Question 19

Constant

Answer 19

A number or variable that never changes in value.

Usually a value representing a constant is one of the first letters in the alphabet; a, b, or c.

Question 20

Exponent

Answer 20

is a small number written slightly above and to the right of a variable or number, such as the 2 in the expression 3². It is used to show repeated multiplication—the power of value.

Question 21

to simplify

Answer 21

to combine all that can be combined, to cut down on the number of terms, and put the expression in an easily understandable form.

Question 22

to factor

Answer 22

to change two or more terms to just one term

Question 23

to solve

Answer 23

means to find the answer. In algebra, it means to figure out what the variable stands for

Question 24

Relatively prime

Answer 24

Terms that have no factors in common. If the only factor that numbers share in common is 1, then they’re considered relatively prime.