Maths - Form 3 - Working With Numbers

Front 1

Lowest Common Multiple.

Back 1

The smallest (non-zero) number that is a multiple of two or more numbers.
Example: LCM of 2,3 and 8.
2 = 2 4 6 8 10 12 14 16 18 20 22 24
3 = 3 6 9 12 15 18 21 24
8 = 8 16 24
The LCM of 2,3 and 8 is 24

Front 2

Range of Values.

Back 2

The Range is the difference between the lowest and highest values.

Front 3

Addition and Subtraction of Fractions

Back 3

There are 3 Simple Steps to add or subtract fractions:

Step 1: Make sure the bottom numbers (the denominators) are the same

Step 2: Add or subtract the top numbers (the numerators), put the answer over the denominator.

Step 3: Simplify the fraction (if needed).

Front 4

Reciprocal

Back 4

Reciprocal
It is simply: 1/number

Example: Make the reciprocal of:
5 = 1/5
3/4 = 4/3

Multiply a Number by Its Reciprocal and You Get 1

Example:
3 (1/3) = 1

Front 5

Multiplication of Fractions

Back 5

There are 3 simple steps to multiply fractions

1. Multiply the top numbers (the numerators).

2. Multiply the bottom numbers (the denominators).

3. Simplify the fraction if needed.

Front 6

Division of Fractions

Back 6

There are 3 Simple Steps to Divide Fractions:

Step 1. Turn the second fraction (the one you want to divide by) upside-down (this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

Front 7

Decimal to Fraction

Back 7

Count how many numbers you have after the decimal point.If you have to the denominator is 100, if 3 the denominator is 1000, cause the decimal point represents 1 and every number is a 0

Front 8

Fraction to Decimal

Back 8

The box method.
The Denominator is on the outside of the box. Lets say 5/8, we see if 8 goes in 5, if not we write 0 and to a decimal point. We add 50 after and see if 8 goes in it, it goes in it 6 times and leaves a reminder of 2, which comes 20, ect....
For Example: 5/8
0. 6 2 5
8l 5.50 20 40

Front 9

Recurring Decimals

Back 9

For Example: 1/3 (The box method)
0. 3 3 3
3 l 1.10 10 10

It continues to be 0.333333 ect... We can write this by doing 0.3 (with a dot on the 3)

Front 10

Numbers in Standard Form

Back 10

Formula - (A number between o and 9.9) x 10^ to the power of (how many decimals you moved).
For example: 6453.2 to standard form
6.4532 x 10^3.
If the number is greater than the simplified number its power is positive.

Front 11

Significant Figures

Back 11

Starting from the first non-zero number.
Example: 4587
458 l 7. The answer is 4590

Front 12

Decimal Places

Back 12

Starting from the first non-zero number after the decimal point.
Example: 2.456 to 1.dp
2.5

Front 13

Ascending Order

Back 13

Is from the smallest value to the largest value.