Number Systems and Real Numbers notes
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This page gathers over 40 Number Systems and Real Numbers notes made by GoConqr users, covering topics from fractions and rounding to surds and standard form. School students and primary pupils can use them to practise number work, while teachers can find ready-made material across these school levels. Choose a topic to begin.
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- Classification of Numbers72
- Natural Numbers and Integers28
- Rational and Irrational Numbers52
- Properties of Real Numbers9
- Comparing and Ordering Numbers9
- Place Value, Rounding and Bounds27
- Number Operations and Order of Operations41
- Factors, Multiples and Prime Numbers77
- Fractions, Decimals and Percentages69
- Ratio and Proportion11
- Powers, Roots and Surds30
- Standard Form and Scientific Notation21
- Numeral Systems and Number Bases5
Notes
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Indicies/Index Form Quiz http://www.proprofs.com/quiz-school/story.php?title=NjEzOTgw http://www.proprofs.com/quiz-school/story.php?title=NjEzOTgw http://www.proprofs.com/quiz-school/story.php?title=NjE0MjQy
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Maths - Significant Figures Revision of Rounding: Before you begin to revise significant figures, you will need to remind yourself of the rules for rounding. Example 1: Round 3.7454 to 2 decimal places.Look at the number given and find the ...
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MATHS Exercise 1.1 Page: 5 1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0? Solution: We know that, a number is said to be rational if it can be written in the form p/q , ...
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Untitled Exercise 1.1 Page: 5 1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0? Solution: We know that, a number is said to be rational if it can be written in the form p/q , ...
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Maths Cheat Sheet Number Terms: Multiples - The multiples of a number are those numbers that result from multiplication by 1,2,3,4,5... etc Common Multiples - Multiples that numbers share Lowest Common Multiple - The smallest multiple ...
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Untitled My Maths GCSE Manual A book with simplified version of how to do all the boring shit you gotta do for your maths GCSE Prime Factors This is that thing with the factor tree. Once you’ve split two numbers up into their ...
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Maths - Percentages Calculations involving Percentages: Finding a percentage of a quantity: You will have to be able to use the basic skills of doing percentages for many different calculations in the exam.Most of these questions will be...
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Number Line Number Line N - The Natural numbers. This is the set of positive whole numbers i.e. 1,2,3,4,5…..etc Z – The Integers. This is the set of negative and positive whole numbers which includes 0 i.e. …-3,-2,-1,0,1,2...
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Sets Definitions Natural Numbers (N) - Any positive whole number Integers (Z) – Any positive or negative whole number Multiples – The different numbers one number divided into(example; multiples of 2 are 2, 4, 6, 8..., bec...
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Untitled Types of Number- GCSE Edexcel Square roots and cube roots √ is the square root sign. Taking the square root is the opposite of squaring. For example, √25 = + or - 5 since 5² = 25 (-5)² = 25.3√ is the cu...
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The Number System - created from Mind Map Mathematical OperationsThere are only four! DvisionDivision (÷ or /) is splitting into equal parts or groups. Ex: 12 ÷ 3 = 4 12 / 3 = 412 is the dividend. 3 is the divisor. 4 is the quotient. MultiplicationM...
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Untitled Multiplying and dividing negative numbersWhen a positive number is multiplied by a negative number the answer is negative.When two negative numbers are multiplied together the answer is positive.For division, the rule...
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Scientific Notation Is an abbreviation, to write numbers that are big and really small lets take numbers and get rid of all the unnecessary 0, to make it easier to multiply or divide them. 25, 300, 000, 000, 000 ...
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Scientific Notation II
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Scientific Notation Notes Emilia Lehnhoff There is a mathematical scientific notation which is very useful for writing very big and very small numbers. Scientific notation is an abriviation. Short way to put numbers that are really big and rea...
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Scientific notation (Daniel Batres) The Scientific Notation Abbreviation Short way to write numbers that are really big or really small. Mainly used in science Simpler and easier to use 25,300,000,000,000 miles Figure out where the decimal ...
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Number and Arithmatic Grade DRounding - Numbers round up if the next digit is 5 or more104.458a 2dp -104.46b 1dp - 104.5c the nearest 10 - 100d the nearest 1000 - 0 Significant figures- When rounding to a number start counting at the first...
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The Number System - created from Mind Map Mathematical Operations There are only four! Dvision Division (÷ or /) is splitting into equal parts or groups. Ex: 12 ÷ 3 = 4 12 / 3 = 4 12 is the dividend. 3 is the divisor. 4 is the quotien...
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Surds What is a Surd? A square root which cannot be reduced to a whole number. Rules for Surds √a + √a = a √ab = √a + √b 4√6 - 2√6 = 2√6 2√5 - 2√3 does not subtract because root is different! 2 surds can be multipled togeth...
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Factors, Multiples, Integers Integers are just whole numbers, positive and negative.Factors are numbers you can multiply together to get another number:For example, 2 and 3 are factors of 6, because 2x3=6. 3 and 4 are factors of 12, because 3x4=1...
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Converting Percent and Decimals
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SURD - Definitions What is a SURD? An irrational nth root. Any mathematical expression (square root, cube root or higher root) which cannot be written as a common fraction An irrational number isAny real number that cannot be expressed ...
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Standard form Standard formIn standard form, a number is always written as: A × 10 n. A is always between 1 and 10. n tells us how many places to move the decimal point. Write 15 000 000 in standard index form. 15 000 000 = 1.5 × 1...
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Maths notes Topic 1 - Fractions Adding - find a common denominator then add the numeratorsSubtracting- find a common denominator then subtract the numeratorsMultiplying - simply multiply acrossDividing - flip the second fraction ...
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Maths test 09/06/2021 Converting between fractions, decimal, and percentages. Fraction to decimal- Divide numerator to the denominator. Decimal to fraction- Write as a fraction then simplify it if can. Percentage to decimal- Divide ...
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Rational Numbers
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Estimating and Approximates Estimating and ApproximatesEstimating is a good way of checking your answer. It is useful when shopping to estimate the cost of your purchases.When estimating... Round the numbers to easy numbers, usually ones with 1 ...
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Untitled Prime numbersa prime number is a number greater than 1 and it has no possible divisors other than 1 and it's self. Composite numbersa composite number is a number greater than 1 and can be divided by interges greater ...
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Maths lesson notes Jennie's council has a target of 1/5 for households to recycle their waste. In January, Jennie recycles 1/10 of her household waste. In February, she recycled 15 kg of 120 kg of household waste.
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Integers Integers The Integers are the numbers which can be positive, negative or zero, but cannot be a fraction. These numbers are used to perform various Arithmetic Operations, like addition, subtraction, multiplication and ...
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MATHS
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Maths Notes Factors: Numbers that multiply into a larger number equally. Eg. 6: 1,2,3,6 A multiple: is a result of multiplying a number by an integer Prime numbers: are numbers that only have 1 factor, 1 and its number.
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Chapter 1 pg 2-11 Excersise 1:01Q3 a) 6 090 000, b) 140 600, c) 84 705, d) 74 398Q4a) 5x5, 25, b) 10x10x10x10, 10000 ,c) 2x2x2, 8, d) 2x2x2x2x2, 32Q56'4Q6a) 80 000, b) 6 000, c) 900 0...
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Unit 2 Surds:You can't write root 15 exactly as a decimal. It is called a surd.root ab = root a x root b Rationalizing the denominator of a fraction means making the denominator a whole number. You can do it by multiplying t...
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Maths Prime FactorsA prime factor is a factor that is a prime number or what goes into the number for exsample the number 70 1 goes in 70 times the muber 2 goes in 35 times Prime number A prime number can only be divided by...
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Section One - Numbers Types of number Square numbers (1x1) (2x2) (3x3) (4x4) (5x5) (6x6) (7x7) (8x8) (9x9) (10x10) 1 4 9 16 25 36 49 64 81 ...
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Math 1.1 Real Numbers Real numbers are used throughout mathematics, and you should be acquainted with the symbols that represent them. Lowercase letters a,b,c,x,y.. represent arbitrary real numbers (also called variables) ...
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Estimation Decimal placesrather than rounding off to the nearest whole number, you might need to be a little more accurate. You might need to include some of the digits after the decimal point. 5 or more, we 'round up', 4 or les...
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Scientific Notations Is an abreviation, Is a short way to put numbers that are really big and really small. Example: Where would the decimal point be? move it until you leave 1 digit (right to left) 2...
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scientific notation Scientific Notation there is a mathematical scientific notation which is very useful for writing very big and very small numbers scientific notation is an abbreviation. short way to put numbers that are really big and...
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About number systems and real numbers notes
GoConqr OriginalUsing number systems and real numbers notes
The notes give you different places to start, depending on what you want to revise. Maths - Significant Figures begins with rounding, so it is a useful choice if you want to refresh that skill before looking at significant figures. Maths - Percentages covers calculations such as finding a percentage of a quantity.
For number vocabulary, try Factors, Multiples, Integers. Its examples show factors and introduce positive and negative integers. If you are working with roots, Surds offers definitions and rules. The notes called Standard form include an example of writing a number in that form.
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Which notes should I start with?
Choose the topic you want to practise. Maths - Significant Figures starts by revisiting rounding, while Factors, Multiples, Integers introduces number terms with examples. For percentage calculations, Maths - Percentages is a starting point. You can read a section and return to it as needed.
What topics do these notes cover?
The page includes notes on rounding, significant figures, percentages, fractions, surds and standard form. There are also resources on factors, multiples and integers, as well as rational and irrational numbers. The titles can help you find a topic to read about.
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Yes. Every resource listed here is free to open and study, with no account needed. The notes were made by GoConqr users rather than GoConqr. A free account also lets you save quiz scores and make your own quizzes, mind maps, flashcards and notes.