Math, asked by Dtheman, 1 year ago

the product of all real numbers is equal to

Answers

Answered by ShaadabShamim
0
There are infinite number of real numbers.
Hence, the product of all real numbers will be infinite.

Hope it helps.
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Thank You.
Answered by krishnakrick88
1

Answer:

0

Step-by-step explanation:

The set real number have multiplicative inverse property.

There exist a multiplicative inverse number for every real number except '0'. If x is a real number then there exist x' belongs to real number such that x*x' = 1. where x' = 1/x, range of x' is (0,1).

The product of all real numbers expect '0' will be 1*1*1*1*1*1*1*1*1*.......= 1 --<1>

The only number left with no multiplicative inverse is '0'.

Now, multiply '0' to <1>

0*1 = 0

The product of any number and zero will be zero.

Finally,

The product of real numbers is '0'.

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