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Flashcards in Section 1: Number Deck (29)
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1

Integer meaning

Another name for a whole number- either a positive or negative number, or zero

2

What are 3 different forms of Rational numbers

1. Integers
2. Fractions
3. Terminating or recurring decimals

3

What are Irrational numbers

Numbers that can't be written as fractions— they're never-ending, non-repeating decimal. Square roots of +ve integers are either integers or irrational. Surds are numbers or expressions containing irrational roots

4

What does BODMAS stand for and what is it used for

Brackets
Other
Division
Multiplication
Adding
Subtracting

Tells you the order in which these operations should be done

5

What are multiples of a number

A numbers times table

6

What are factors of a number

All the numbers that divide into the number

7

What is a prime number

A number which doesn't divide by anything, apart from itself and 1— i.e. It's only factors are itself and 1. ( the only exception is 1, which is NOT a prime number)

8

How to find prime factors of a number

Use a factor tree:
1. Start with the number at the top, and split it into factors
2. Every time you get a prime, ring it
3. Keep going until you can't go further then write the primes out in order. If there's more than one of the same factor, write them as powers

9

What is the LCM

'Least common multiple' is the smallest number bet that will divide by all the numbers in the question.

10

What is the HCF

'Highest common factor' is the biggest number that will divide into all the numbers in the question

11

How do you simplify a fraction

Divide numerator and denominator by same number, till they won't go further

12

How to multiply fractions

Simplify then multiply too and bottom numbers separately

13

How to divide fractions

Flip the second and multiply

14

How to add and subtract fractions

Make sure denominators at the same then add/subtract numerators only

15

How to find common denominator

Find a number that all denominators divide into- this is common denominator

16

How to fraction -> decimal

Divide numerator by denominator

17

How to decimal -> percentage

x100

18

How to percentage -> decimal

Divide by 100

19

How to terminating decimal -> fraction

The digits after the d.p go on top and a power of 10 on the bottom- with the same number of zeros as there were decimal places

20

How to recurring decimal -> fraction

1. Name decimal x
2. Multiply x by a power of 10 to move it past the decimal point by one full repeated lump
3 subtract x by the power of 10 x to get rid of decimal part
4. Then divide to leave x and simplify if possible

21

How to fractions into recurring decimals

Find an equivalent fraction with all mined on denominator. The numerator will tell you the recurring part

22

How to round to a given number of decimal places

- identify position of 'last digit' from the number of decimal places.
- then look at digit to the right (the decider)
-if decider 5 or above round up last digit, if decider 4 or less leave digit as is

23

Rounding to significant figures

The first s.f of any number is the first digit which isn't zero. The 2nd,3rd,4th,etc. s.f follow on immediately after the 1st, regardless of being zeros or not zeros

24

How to estimate calculations

Round all numbers to 1 sig fig

25

How to estimate square roots

Find 2 square numbers, one either side of the number you're given. Decide which number it's closest to, and mar a sensible estimate of the digit after the decimal point

26

What are upper and lower bounds

When a measurement is rounded to a given unit, the actual measurement can be anything up to half a unit bigger smaller

27

What are the three rules of standard form

A x 10^n

1. Front number (A) must always be between 1 and 10
2. The power of 10 (n) is how far the decimal point moves
3. n is positive for big numbers and negative for small numbers

28

Multiplying and dividing standard form

1. Rearrange to put front number and powers of 10 together
2. Multiply/divide front numbers, and use the power rules to multiply/divide the powers of 10
3. Make sure answer is in standard form

29

Adding and subtracting standard form

1. Make sure powers of 10 are same
2. Add/subtract front numbers
3. Convert answer to standard form if necessary