What is an integer?

A whole negative or positive number. Zero is an integer

What are rational and irrational numbers?

Rational numbers are numbers that DNA be written as fractions

Irrational numbers can’t be written as fractions(most square roots are irrational, never ending numbers and decimals are irrational and so is pi)

What is the order for operations using BODMAS?

Brackets, Other (like indices), Division, Multiplication, Addition, Subtraction

What are multiples of a number?

Numbers that appear in the times table of a number

What are factors of a number?

Numbers that divide into a number exactly

How do you find the prime factors of a number?

Using a factor tree

How do you work out the LCM of a number?

Multiply all the prime factors that appear in either number. E.G.

18 = 2 x 2 x 3 30 = 2 x 3 x 5

LCM = 2 x 3 x 3 x 5 = 90

If you place the prime factors in a Venn diagram, multiply all the numbers inside the wrings but outside the overlap together

How do you work out the HCF of a number?

Multiply all the prime factors that appear in both numbers together

How do you multiply a fraction?

Multiply both the numerators together to get the numerator of the answer and do the same with the denominators to get the denominator in the answer

How do you divide a fraction?

Turn the second fraction upside down and the multiply as normal

How do you add and subtract fractions?

Find a common denominator and then subtract or add as necessary

What do fractions of something require you to do?

Multiply the fraction and convert the integer to an improper fraction

How do you convert recurring decimals into fractions?

1) Name the decimal (e.g. x)

2) Multiply the recurring decimal so that the recurring part moves past the decimal by one full lump.

3) Subtract x or the necessary amount of x from the multiplied amount of x

4) Divide the new rational number by the amount of x it is worth

How do you convert fractions into recurring decimals?

Use the bus stop method (divide numerator by denominator)

How do you estimate the answer to a square root?

Find two square numbers either side and make a sensible estimate to what it could be

What are upper and lower bounds?

The upper bound is the maximum value a rounded amount could have been.

The lower bound is the lowest value a rounded amount could have been.

A truncated number can not have a lower bound

What is truncation?

If you truncate a number, you remove a certain amount of specified numbers after the decimal point. No rounding is involved

What are the three rules to standard form?

1) the front number must be between 1 and 10

2) the power of ten is how far the decimal point moves

3) the power is positive for big numbers and negative for small numbers

How do you multiply and divide two numbers in standard form?

1) Multiply/divide the front numbers

2) Multiply/divide the powers of ten

3) Convert to standard form

How do you add and subtract numbers in standard form?

1) Make sure the powers of ten are the same by changing one of the numbers in standard form

2) Add or subtract the front numbers (this answer will be multiplied by the power of ten in your working)

3) Convert to standard form