Chapter 1 - Numbers

Question 1

What are factors

Answer 1

#s that divide EVENLY into a larger # 
Eg. 24 - 1,2,3,4,6,8,12,24

Question 2

Prime Number

Answer 2

A whole # which has exactly 2 factors. - 1 and it’s self

Eg. 3 & 7

Question 3

Composite Number

Answer 3

A whole number which has more than 2 factors

Eg. 10 & 21

Question 4

What are 1 and 0

Answer 4

1 is neither a prime or a composite

0 has no factors

Question 5

First 10 primes

Answer 5

2,3,5,7,11,13,17,19,23,25…

Question 6

Prime factors

Answer 6

A whole number are the factors of the number which are prime
Eg. Prime factors of 6 - 2, 3

Question 7

Prime Factorization

Answer 7

Expressing a whole number a a product of primes

Eg. Division table or tree diagram

Question 8

Greatest Conmon Factor

GCF

Answer 8

Largest whole number which divides exactly into each of the members of the set

Question 9

Lowest Common Multiple

LCM

Answer 9

The lowest quantity that is a multiple of two or more given quantities (e.g. 12 is the lowest common multiple of 2, 3, and 4).

Question 10

Perfect square

Answer 10

Whole numbers that can be divide into one number.

Eg. 1,2,4,9,16,25,36,49…

Question 11

Square Roots

Answer 11

One positive and one negative

Even numbers ONLY have a positive

Question 12

Principal Square Roots

Answer 12

ONLY the positive square root

Square root symbol only looking for positive answers

Question 13

Perfect Cube

Answer 13

A number that can be divided into another number 3 times

Eg. 1,8,27,64,125

Question 14

Cube root

Answer 14

The number that multiplied by its 3 time s equals another number
Eg. 1,2,3,4,5…

Question 15

Repeating Decimal

Answer 15

Decimals which have a recurring pattern of digits

Question 16

Non-Repeating Decimals

Answer 16

Decimals which have no recurring pattern of digits

Question 17

Terminating Decimal

Answer 17

Decimals with a finite number of digits

Question 18

Non-Terminating

Answer 18

Decimals with an infinite number of digits

Question 19

Rational numbers (Q)

Answer 19

Decimal numbers that repeat or terminate. They can be converted into fractions
a/b where a,b are integers b≠0

Question 20

Irrational Numbers (Q-)

Answer 20

Decimal numbers which are both non-repaying AND non-terminating. They cannot be converted into fractions

Question 21

Converting a Repeating Decimal to a Fraction Algebraically

Answer 21

Step 1: let x be the original number
Step 2: identify the repeating digit(s)
Step 3: multiply both sides by a power of ten. The repeating number(s) should be to the left of the decimal.
Step 4: if the repeating number is not on both sides of the decimal multiply both sides by a power of ten so that the repeating number(s) are on the right side of the decimal.
Step 5: subtract the equation in step four from the equation in step 3 or subtract step 3 from the original. Then solve for x.

Question 22

Real Number System

Answer 22

Real numbers (R) break in to: Rational (Q) and Irrational (Q-). Rational numbers > Integers (I) > Whole Numbers (W) > Natural Numbers (N)

Question 23

Real Numbers (R)

Answer 23

Any and all numbers that we can get mathematically

Question 24

Integers (I)

Answer 24

Negative and positive “WHOLE” numbers

Question 25

Whole numbers (W)

Answer 25

Whole numbers bigger than 0, including 0

Question 26

Natural Numbers

Answer 26

Whole number bigger than 0, NOT INCLUDING 0

Question 27

Perfect and non-perfect square and cubes

Answer 27

Perfect square or cube = a rational number

Non-perfect cube or square = a irrational number

Question 28

First 15 squares

Answer 28

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225….

Question 29

First ten perfect cubes

Answer 29

1, 8, 27, 64, 125, 216, 343, 512, 728, 1000….

Question 30

Non-Terminating Decimal

Answer 30

Decimals with an infinite number of digits

Question 31

Radicals

Answer 31

Any expression of the form n (square root symbol) x, where n€N
(AKA the root equation thingy)

Question 32

Index

Answer 32

N in a radical is the index

Question 33

Radicand

Answer 33

X is the radicand in a radical

Question 34

Radical sign

Answer 34

Root symbol or function thingy

Question 35

How to multiple/divide with square roots

Answer 35

You can multiply or divide square roots before you get an answer
Eg. (9x4)

Question 36

Adding and subtracting with roots

Answer 36

You cannot add or subtract to square roots together you must do then separately
Eg. (9) + (4)