Numbers

Question 1

Positive

Answer 1

• Numbers greater than zero

* written with or without sign (+)

Question 2

Negative

Answer 2

• Numbers less than zero

* Always written with sign (-)

Question 3

Natural Numbers/Counting numbers

Answer 3

eg. 1, 2, 3, 4, 5

Question 4

Whole numbers

Answer 4

Natural numbers with 0

0, 1, 2, 3, 4,

Question 5

Integer

Answer 5

• Both negative and positive numbers

Question 6

Rational Numbers

Answer 6

Where ‘a’ and ‘b’ are integers and b does not equal to zero.

All numbers can be expressed by a/b

Question 7

○

Answer 7

Means number is not included in number line.

Question 8

●

Answer 8

This means number is included in the number line

Question 9

x>2

Answer 9

x is greater than to 2

Question 10

x<3

Answer 10

x is less than 3

Question 11

Squared Number

Answer 11

• A number formed by multiplying a number by itself.

* No negative number can be a square number.

Question 12

Cubed number

Answer 12

• Is formed by multiplying a number by itself 3 times.

Question 13

Square Root

Answer 13

A number which is multiplied by itself to make a squared number

Question 14

Prime number

Answer 14

A number which is only divisible by 1 and itself.

Question 15

Factors

Answer 15

Any number that will divide exactly to the given number (5 is a factor 1, 2, 3, 4, and 6 are factors of 12).

Question 16

Prime factors

Answer 16

A number which is prime and also a factor of another number.

(3 and 2 are prime factors of 12).

Question 17

Product

Answer 17

Multiply

The product of a and b

Question 18

Quotient

Answer 18

Divide

The quotient of a and b

Question 19

Top of a fraction

Answer 19

Numerator

How many parts to take

Question 20

Bottom of the fraction

Answer 20

Denominator

How many parts to split something into

Question 21

Vulgar fraction

Answer 21

A number written by numerator and determinator rather than decimals

Question 22

Proper fraction

Answer 22

The numerator is less than the determinator.

Question 23

Improper fraction

Answer 23

When the numerator is greater than the determinator.

Question 24

Cancelling Down

Answer 24

Dividing the top and bottom number without changing the fraction.

Question 25

What is the method to work out sequencing?

Answer 25

Find the difference between the numbers.

Question 26

How to convert a mixed number to an improper fraction.

Answer 26

Multiply the whole number with the denominator and then add on the numerator.

Question 27

How to add and subtract fraction when denominator is the same?

Answer 27

Add or subtract the numerators.

Question 28

How to add and subtract fraction when denominator is not the same?

Answer 28

Make denominator the same Method 1: Find the lowest common multiple of the denominators Method 2: multiply both denominators together.

Question 29

How to put fractions in order?

Answer 29

Work out the lowest common denominator (multiple) and then multiply the numerator by the same number the denominator was multiplied by.

Question 30

How to multiply fractions

Answer 30

Cancel down by finding HCF between opposite numerators and denominators. Then multiply the numerators and the denominators

Question 31

How to divide fractions

Answer 31

Turn the second fraction upside down and then use the multiplication method

Question 32

What to do when confronted by multiplication or division of mixed numbers.

Answer 32

Convert them into improper fractions

Question 33

How to add mixed numbers if denominator is the same

Answer 33

Add the whole numbers together and then the fraction

Question 34

How to add mixed numbers if denominator is different.

Answer 34

Cancel down first as when adding fractions and then add the mixed number with the whole number.

Question 35

How to subtract mixed numbers

Answer 35

Subtract hole numbers | Use the addition principle and then minus at the end.

Question 36

How to subtract mixed numbers if the second fraction is larger than the first

Answer 36

Convert into improper fraction then apply usual subtraction method.

Question 37

Fraction of

Answer 37

It means to multiply the fraction

Question 38

Fractions within fractions

Answer 38

The numerator and the denominator must be worked out separately before the final fraction

Question 39

Operation

Answer 39

A mathematical action or event e.g the act of multiplying 4 by 4.

Question 40

Inverse operation

Answer 40

An operation that undoes one another ``` 3x5 = 15 15/3 = 5 ``` (Working from the other end)

Question 41

Place value

Answer 41

Whether a number is in thousands hundreds and units etc. When moving right you divide by 10 When moving left you multiply by 10.

Question 42

Converting decimals into fractions

Answer 42

Multiply the decimal by the place value of the last number

Question 43

Adding and subtracting decimals

Answer 43

Same as integers but don't forget the decimal

Question 44

Multiplying decimals

Answer 44

Multiply in whole numbers. | The amount of digits of the decimal point in the whole some should be the same in the answer.

Question 45

Division of decimals

Answer 45

Multiply the decimal to make a whole number and then the divide the while numbers.

Question 46

The Rule of rounding in general

Answer 46

Round down if the digit is less than 4 | And round up if the digit is 5 or more.

Question 47

How to round decimal numbers

Answer 47

Look at the next digit in the following decimal place. If this 0 to 4 leave the digit as it is; if the next decimal is 5 to 9 add one to the digit you are considering.

Question 48

The sign for recurring decimals

Answer 48

Put a dot over the decimal which recurs.

Question 49

When will the decimal equivalent not have recurring figures

Answer 49

If the denominator only has prime factors 2 and 5

Question 50

What is a reciprocal

Answer 50

A reciprocal of a number is 1 divided by the number.

Question 51

What equation is the same as 12 multiplied by the reciprocal of 3

Answer 51

12 divided by 3

Question 52

What is any non zero number multiplied by its reciprocal

Answer 52

1

Question 53

What is the absolute error

Answer 53

The limits in where a measurement lies | It is half of the smallest significant unit in the calculation.

Question 54

What are Unit fractions And the easy approach

Answer 54

Fractions with one at the top. The easy approach is to flip them over Multiply 35 by 1/5 is 35 divided by 5 Divide 35 by 1/4 is 35 multiplied by 4

Question 55

What is index notation?

Answer 55

The powers of numbers

Question 56

Description of 3 squared

Answer 56

The 3 is called the base and the 2 above is called the index/indices.

Question 57

How to multiply powers and indices?

Answer 57

Add the indices together.

Question 58

How to divide powers?

Answer 58

Subtract the indices.

Question 59

Anything to the power of 0 equals

Answer 59

1

Question 60

a can be any number apart from

Answer 60

0

Question 61

What is the inverse of a power?

Answer 61

A root

Question 62

How to find the root of fractions

Answer 62

Find the root of the numerator and the denominator separately

Question 63

Why might you here the term negative square roots

Answer 63

Every positive number has two roots a positive root and a negative root.

Question 64

Standard form

Answer 64

Writing numbers between 1 - 10 multiplied by a power of 10.

Question 65

How to multiply a positive number by 10?

Answer 65

Move decimal to the right or number to the left. We do the opposite when multiplying a negative number by the power of 10

Question 66

How to convert a number into standard form?

Answer 66

Move the decimal point to the position which makes the number become a number between 1 -10.

Question 67

When multiplying powers and the number is bigger than 10.

Answer 67

Divide the base by 10 (move the decimal left). Then multiply the index by 10 and one more to the power. So 54 x 10 to the power of 22 becomes 5.4 x 10 to the power of 23.