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Class notes Mathematics

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Master grade 9 mathematics with these comprehensive and easy-to-follow class notes. Perfect for students looking to improve their understanding and ace their exams.

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  • January 23, 2025
  • 27
  • 2024/2025
  • Class notes
  • Julia
  • All classes
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Whole numbers
Numbers

The number system is a way of representing and organizing quantities .

It provides a frame work for perfroming calculations and solving mathematical problems

Within the number system , we have several tyes of numbers that posses distinct properties and characteristics


Propertis of numbers

Diffrent types of number posses distinct properties based on their characteristics and relation ships,

Here are some key number systems we’ll discuss:

Natural numbers
Whole number
Integers
Rational numbers
Irrational numbers


Number systems

Natural number
1,2,3

Whole numbers
0,1,2,3

Integers
-2,-1,0,1,2

,Rational numbers
-2,-1,0,1,2

Irrational numbers

√5 √3 𝜋

Calculation with whole numbers

Eastimating is a helpful technique to quickly approximation the result of a calculation . it allowas you to have a rough
idea of what the answer might be without performing the exact calculation

Heres how you can estimate

For addition and subtraction : Round the number ot the nearest ten , hundred or thousand and then perform the
calculation using the rounded numbers

For multiplication and division : Round the numbers to the nearest whole number and then perform the calculation
using the rounded numbers .




Examples
Estimate the following : 68+35 round the numbers
To 70 & 40



70
+ 40 Add 70 and 40 to get an
—---- an estimated sum of 110
110



Estimate the following : 43 x 6

40
x6
—-
240

, Rounding
Rounding of involves approximately a number to a specific place value ( such as the nearest ten , hundred, ect) .

Heres how you can round off the numbers :

1.​ Determine the place value to which you want to round off
2.​ Look at the digit to the right of the desired place value
3.​ If the digit is 5 or greater, round up the number by increasing the desired digit by 1 and replacing all digit’s to
the right of the desired place value.

Examples

1 round 3485 to the nearst 100

3485 = 3500

2 round to the nearest 100

24627 = 24600

3 round 9721562 to the nearest 100,000

9721562 = 9700,000

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