100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Summary Grade 10_Mathematics [Algebra + Geometry] £7.23
Add to cart
Quickly navigate to
Preview
  2.  
  3. 10th Grade
  4.  
  5. Mathematics

Summary

Summary Grade 10_Mathematics [Algebra + Geometry]
 1 purchase
  • Module
  • Mathematics
  • Institution
  • 10th Grade

Complete summary of Higher Mathematics for Grade 10 [Algebra and Geometry (Paper 1 & 2)]. Comply with the requirements set out in the SAGS by CAPS and IEB. Covers the whole year's work.

Preview 4 out of 54  pages

Document information

  • February 20, 2023
  • 54
  • 2022/2023
  • Summary

Subjects

  • grade 10
  • maths
  • mathematics
  • algebra
  • geometry
  • core principles
  • bodmas
  • uniformity
  • graphs
  • statistics
  • algebraic equations
  • exponents
  • factorization

Written for

  • 10th Grade
  • Mathematics
  • 200
All documents for this subject (148)

Seller

avatar-seller
notedx19

Reviews received

Content preview

MATHEMATICS

, Key – core concepts
REAL NUMBERS NATURAL NUMBERS
NUMBERS “FAMILY”/SYSTEM
The number line consists of all the Rational
(Q) and Irrational (Q') numbers which
Even numbers : 2;4;6;8….
together form the set of Real (ℝ) numbers.
Odd numbers : 1;3;5;7…
UNREAL NUMBERS
Prime numbers : 2;3;5;7;11;13… (1 is not a prime
√−25 is an example of a non-real number. number)
There is no number that, when squared, will
Composite numbers : 4;6;8;9;10;12 (numbers with
equal -25.
more than 2 factors)
√−25 does not exist on the number line. Square numbers : 1;4;9;16;25…
The real and non-real numbers together
form the complex numbers. Cubic numbers : 1;8;27;64;125…

COUNTING NUMBERS



INTEGERS


RASIONAL NUMBER

any number that can be written as a fraction, i.e. a
𝑖𝑛𝑡𝑒𝑔𝑒𝑟 𝐴
or [where A & B ∈ Z ; B ≠ 0]
𝑖𝑛𝑡𝑒𝑔𝑒𝑟 𝐵

W All integers.
W All fractions.
W All terminating decimal fractions.
W All repeating decimal fractions.

IRRASIONAL NUMBERS
W All non-terminating, non-repeating decimal
Can only be written in a number form with infinite, numbers
non-repeating digits after the decimal point, the W Pi (π)
numbers can NOT be written as a FRACTION W √Positive non − square
3
W √Positive non − cubic

, Key – core concepts
BODMAS CALCULATIONS WITH BRACKETS ()
NB ! At minus - and brackets ()
Inside the bracket (-3)² = (-3)(-3) =+9
No bracket -3² =-(3)(3) = -9
Outside the bracket -(3)² =-(3)(3) = -9

CALCULATIONS WITH ROOTS √
+ or – under √ [first SIMPLIFY under the √]
W √16 + 9=√25
W √16 + 9≠√16 + √9
x or ÷ under die √ [divide √ and work out each
part's √ separately]
W √16 × 9=√144
SIGN RULES [X ÷] W √16 × 9=√16 × √9

, Key – core concepts
ADDITION + * SUBTRACTION - SCM * LCD
W Same signs (add together and KEEP the sign) SCM (Smallest Common Multiple )
W Different signs (subtract and keep the largest
(ALSO SCD = smallest common denominator)
number's sign)
MULTIPLY THAT WHICH APPEARS WITH THE BIGGEST ONE
Characters inside and outside brackets (multiply together to
AND THAT WHICH IS SHORT [FRACTIONAL] (largest
get a new character. Two signs next to each other must
number's factors and what remains with the other)
become one sign)
Determine the SCM of 9 and 12:
INVERSES
Multiples of 9 are: 9; 18; 27; 36; 45; 54; 63; …
addition inverse of -4 = 4
Multiples of 12 are: 12; 24; 36; 48; 60; 72; …
multiplicative inverse of -2 = -½ The SCM of 9 and 12 is: 36

MULTIPLES * FACTORS GCF / LCF (Greatest [Largest] common denominator /
factor)
MULTIPLES GRIND ONLY WHAT HAPPENS TO EVERYONE
[count in the number] (numbers common to all)
E.G : 2, 4, 6, 8, 10 [MULTIPLES OF 2] Determine the SCM of 8 and 10.

FACTORS Step 1. What is the LCF of the 2 numbers: It is 2
Factors of 8: 1; 2; 4; 8 Factors of 10: 1; 2; 5; 10
[numbers that can divide exactly into the number]
Step 2. Determine the product of 8 and 10: 8 x 10 = 80
E.G : 1, 2, 3, 6, 9, 18 [FACTORS OF 18]
Step 3. Divide the product of the numbers by the LCF: 80 ÷ 2 = 40
PRIME NUMBERS
Step 4. The SCM of 8 and 10 is 40
[number with only 2 factors namely 1 and the number itself]


[2, 3, 5, 7, 11, 13, 17, 19]

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller notedx19. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for £7.23. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

65040 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy revision notes and other study material for 15 years now

Start selling

Recently viewed by you

Summary ·

(3)

Marktonderzoek samenvatting 2021-2022

Other ·

(0)

BKED 340 - Early Childhood Intervention

Package deal ·

(0)

CHL2601 (All Assignments) BUNDLE 2023

Summary ·

(1)

Examen ondernemingsrecht januari 2024

Summary ·

(0)

Samenvatting-Casus: België - De Federale Staat

Exam (elaborations) ·

(2)

WCU - PHYS 261 FINAL EXAM LATEST ANSWERS 2023

Exam (elaborations) ·

(0)

NUR 308 Quiz with Complete Solutions.

Other ·

(2)

Examen Voert beheertaken uit P3-K1-W6

Exam (elaborations) ·

(0)

AAPC CPC exam 2024 with 100% correct answers

£7.23  1x  sold
  • (0)
Add to cart
Added