Math, asked by bhoomikaruchi, 8 months ago

find the values of -7/2+0 and 0+[-7/2] compare then. what do you observe​

Answers

Answered by pulakmath007
33

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TO DETERMINE

The comparison between

\displaystyle \sf{ -  \frac{7}{2}  + 0} \:  \:  \: and \:  \: 0 +  \bigg[ -  \frac{7}{2}  \: \bigg ]

EVALUATION

Here 0 is a Additive Identity for the set of Real numbers

So by the property of Real numbers

\displaystyle \sf{ -  \frac{7}{2}  + 0} \:  \:  \:  =  \:  -  \frac{7}{2}

Now

[ x ] is the greatest integer but not greater than x

This function is called Box function

So

\displaystyle \sf{\bigg[ -  \frac{7}{2}  \: \bigg ]  =  \bigg[ -  3.5  \: \bigg ]  =  - 4\: }

Therefore

\displaystyle \sf{  0 +  \bigg[ -  \frac{7}{2}  \: \bigg ] = 0 - 4 =  - 4 }

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LEARN MORE FROM BRAINLY

Match the value to the smallest set that contains that value. |-21 |

Real Number

Rational Number

Irrational Number

Natural Number

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