Rational numbers Class VIII
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Rational numbers can be expressed as fractions p/q where p and q are integers and q is not equal to 0. Some examples of rational numbers include 1/2 and -2/3. Rational numbers have properties like commutativity, distributivity, associativity, existence of additive and multiplicative identities. There are infinitely many rational numbers between any two given rational numbers, which can be found by finding equivalent fractions or taking the average. Vedic maths provides fast ways to find the lowest common multiple of numbers by checking if the highest number is divisible by the others.
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This is meant for age group 11 to 14 years.
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Some viewers have requested me to send the file through mail.
So I allowed everybody to download.My request is whenever you are using plz acknowledge me.
Pratima Nayak ,Teacher,Kendriya Vidyalaya,Fort William,Kolkata
pnpratima@gmail.com
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Pratima Nayak ,Teacher,Kendriya Vidyalaya,Fort William,Kolkata
pnpratima@gmail.com
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Rational numbers Class VIII
- 2. What Are Rational Numbers Any number which can be expressed in form of 𝑝 𝑞 , where p and q are integers and (q>0). Eg: 1 2 ,− 2 3 etc. Natural Numbers Whole Numbers
- 4. SOLUTION:
- 5. (i) Commutative property over multiplication (ii) Distributive property over addition (iii) Associative property over addition (iv) Existence of additive identity (v) Existence of multiplicative identity
- 6. Is 0 a Rational Number?
- 7. Additive Identity Multiplicative Inverse Or Reciprocal Multiplicative Identity
- 8. The number line for rational line will extend from - ∞ to ∞. Rational Number can be represented as follows:
- 9. RATIONAL NUMBERS BETWEEN 2 RATIONAL NUMBERS: There can be infinite rational numbers between any two given rational numbers. There are 2 methods to find rational numbers between 2 rational numbers: Method 1:We have to find the equivalent fraction of the given rational numbers and write the rational numbers which come in between these numbers. These numbers are the required rational numbers. Method 2: We have to find the average of the 2 given rational numbers and the mean is required rational number.
- 10. VEDIC MATHS( FIND LCM IN 4-7 SECONDS) Let us take example of Find LCM of 2,4,8,16 We have to see whether highest number is divisible by other number or not. In this case every number is divisible by 16, so LCM IS 16.
- 11. Find LCM Of 2,3,7,21 Now we have to check is 21 divisible by other numbers 21 is not divisible by 2. So, we have to multiply by 2 21 × 2 = 42 42 is divisible by 3 and 7. So, the LCM is 42