Question

[-2.5] + [4.2] + [-7.1]

Answer 1

$\displaystyle \sf [-2.5] + [4.2] + [-7.1] = - 7$

Given :

$\displaystyle \sf [-2.5] + [4.2] + [-7.1]$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

$\displaystyle \sf [-2.5] + [4.2] + [-7.1]$

Step 2 of 2 :

Find the value of the expression

Box function is defined as below :

For a real number x the box function is denoted by [ x ] and defined as the greatest integer but not greater than x

[ - 2.5]

= Greatest integer but not greater than - 2.5

= - 3

[ 4.2 ]

= Greatest integer but not greater than 4.2

= 4

[ - 7.1]

= Greatest integer but not greater than - 7.1

= - 8

Hence the given expression

$\displaystyle \sf = [-2.5] + [4.2] + [-7.1]$

$\displaystyle \sf = - 3 + 4 - 8$

$\displaystyle \sf = - 7$

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