Numbers & Negative Numbers Flashcards
What is a real number?
Rational & Irrational Numbers
What are irrational numbers?
Numbers which can’t be written as a fraction
What are integers?
All negative and positive numbers including 0 which are not decimals/fractions
What are whole numbers?
All positive numbers including 0 which are not decimals/fractions
What are natural numbers?
All numbers excluding 0 which are not decimals or fractions
What are rational numbers?
Numbers which can be written as a fraction. Decimals which terminate or repeat.
What is R?
Real Numbers
What is W?
Whole Numbers
What is R - Q?
Irrational Numbers
Why is it R - Q?
Because irrational numbers are the real number system minus rational numbers
What is Z?
Integer
What is N?
Natural number
What is Q?
Rational number
What is { }?
Brackets enclosing members of a set. Set notation.
What is the identity number of multiplication?
1
What is the identity number of addition?
0
What is an identity number?
An identity number is a number that doesn’t change the value of the number it’s being operated on
What is an opposite number?
The negative or positive version of the same number
What number has no opposite?
0
How to measure an opposite?
Two numbers must be an equal amount of units away from 0 for it to be an opposite
What is the absolute value of a number?
The absolute value is the number of units it is away from 0
How the absolute value depicted?
x |
How do you add a negative and a positive?
- Find absolute value of both
- Find the sign
- Subtract smaller number from larger number
- Add the sign found in step 2 to the answer of step 3
How do you find the sign?
- If the absolute value of the positive number is smaller than the absolute value of the negative number then the sign = -
- IF the absolute value of the negative number is larger than the absolute value of the positive number then the sign is +
What happens if the numbers are each others opposite?
The answer is 0
What is the sign of a negative - negative?
Negative if the first number is smaller than the second
Positive if the first number is larger than the second
What is the sign of a positive - positive?
Negative if the first number is smaller
Positive if the first number is larger
What is the sign of a negative - positive?
Negative
What is the sign of a positive - a negative?
Positive
What happens when you subtract the same negative?
You get 0
How to work out the absolute value of an expression?
Simplify the expression first then find the absolute value
