list all prime numbers
Find the G.C.D of the following numbers using prime factor method. 1) 225,450 2) 108,135,1..
Question 41
Question: Find the HCF and LCM of 1152 and 1664 by using the fundamental theorem of arithmetic. [2 Marks] Answer: Steps: 1. Find the prime factors of 1152 and 1664 2. Find the common factors and write their products as HCF. 3. Find LCM by dividing the product of the 2 nu..
Basic number theory question and answers
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..properties of GCD
- Properties of G.C.D 1. If one of two given numbers is an exact divisor of the other ,then the divisor itself is the G.C.D of the given number. 2.If the two numbers given are co,prime their G.C.D is ..
(i) Roster Method
This method is also known as tabular method. In this method, a set is represented by listing all the elements of the set, the elements being separated by commas and are enclosed within flower brackets {..
Question 38
Question: Find the HCF and LCM of 144 and 180 by the prime factor method. [2 Marks] Answer: 144 2 x 2 x 2 x 2 x 3 x 3 180 = 2 x 2 x 3 x 3 x 5 HCF (144, 180) = 2 x 2 x 3 x 3 = 36 LCM (144, 180) = 2 x 2 x 2 x 2 x 3 x 3 x 5 = 7..
Solved Examples on Simplifying Fractions
Example 1. Reduce 6/12 to its lowest form. Solution : Given : 6/12 Step 1 : prime factors 2 and 3 Step 2 : common factors of numerator 2,3 and denominator 2,2,3 Step 3 : On dividing 2 and 3 in both numerator and denominator get canceled and 1 in numerator and 2 in..
Summary
In roster method of representing a set, all the elements are listed in the set. Two sets are said to be Equivalent sets if the elements of one set can be put in one-one correspondence with the elements of the other set. Two sets are said to be Equal sets if every element..
Unit of Conversions
Conversions - Things which have dimensions are quantitative, qualitative and convertable. List of such units. Length Area Volume Speed Weight Temperatu..
To find L.C.M
To find L.C.M by listing the multiples. Example : Find the L.C.M of 18 and 12 Multiples of 18 : 18,36,54,72,90,108,126,144................. Multiples of 12 : 12,24,36,48,60,72,84,96,108 ............. Of the Common Multiples the least is 36 so the L.C.M of 18 and 12 is ..
Result
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