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Factor
Prime Number
Prime Factorisation
Integers
Rational Numbers
Irrational Numbers
Real Numbers
Operations with Negative Numbers
Using >, <
Rounding to given Decimal Places
Rounding to given Significant Figures
Factor of a number divides the number exactly without any remainder.
Factors of 4 are 1, 2, 4.
Factors of 16 are 1, 2, 4, 8, 16.
Factors of 25 are 1, 5, 25.
Note that for a number, 1 and the same number are factors.
If a number has ONLY TWO factors, it is a Prime number.
2 is a prime number. Factors of 2 are 1, 2.
3 is a prime number. Factors of 3 are 1, 3.
11 is a prime number. Factors of 11 are 1, 11.
1 and the same number are the ONLY factors of a Prime number.
Writing a number as product of its prime factors is called Prime Factorisation.
Divide 150 by prime numbers (2,3,5,7,11…), starting with 2.
Stop when you get 1.
150 = 2 x 3 x 5 x 5
= 2 x 3 x 52 (index notation)
Whole numbers (both positive and negative, including zero).
…-3, -2, -1, 0, 1, 2, 3…
Numbers that can be written as a fraction where numerator and denominator are integers.
1/2, 4, 1.75 (=7/4).
Numbers that cannot be written as fractions where numerator and denominator are integers.
Π and sqrt(2).
All rational and irrational numbers.
-3, 3.25, 1.7897
1 + 2 = 3
1 – 2 = – 1
– 1 + 2 = 1
– 1 – 2 = – 3
( 2 ) ( 1 ) = 2
( 2 ) ( – 1 ) = – 2
( –2 ) ( 1 ) = – 2
( –2 ) (– 1 ) = 2
( 4 ) / ( 2 ) = 2
( 4 ) / (–2 ) = –2
(–4 ) / ( 2 ) = –2
(–4 ) / (–2 ) = 2
3 > 2 (3 is more than 2)
2 < 3 (2 is less than 3)
–3 < –2 (–3 is less than –2)
–2 > –3 (–2 is more than –3)
To round off a number to
1 decimal place, consider the second digit.
2 decimal places, consider the third digit.
3 decimal places, consider the fourth digit.
If that digit is
5 or above, add 1 to the previous digit.
less than 5, drop that digit.
Significant Digits
Non-zero digits.
Zeros between non-zero digits.
Zeros following a non-zero digits after the decimal point.
Non-significant Digits
Zeros before the first non-zero digit.
To round off a number to
2 sig. figures, consider the third digit.
3 sig. figures, consider the fourth digit.
If that digit is
5 or above, add 1 to the previous digit.
less than 5, drop that digit.
Write 200 as product of its Prime Factors
Write 320 as product of its Prime Factors
Find the value of 6 + (–2) + 8 – (– 5)
Find the value of (–2) x 8 – 5
Find the value of 12 x 8 – 5 x 3
Find the value of 2 x (7 – 5) – (5 – 2) x 1
Round 2.0678 to (a) 2 decimal places (b) 3 decimal places
Round 3.2467 to (a) 2 significant figures (b) 3 significant figures
Round 0.0023589 to (a) 3 decimal places (b) 2 significant figures