Question

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Q. Answer the following questions
I) From the sum of 33 and -47, subtract -84.
II) Add -36 to the difference of -8 and -68.
III) Simplift:
a) [37 - (-8) ] + [ -30) ]
b) [-13 - (-17) ] + [-22 - (-40) ]
IV) Find 34 - (-72) - 34. Are they equal?
V) The sum of two integers is -13. if one of the numbers is 170, find the other.
VI) The sum of two integers is 65. if one of the integers is -47, find the other.​

Answer 1

I) \(33 + (-47) - (-84) = 70\)

II) \((-8) - (-68) + (-36) = 20\)

III)

a) \( [37 - (-8) ] + [ -30] = 75\)

b) \( [-13 - (-17) ] + [-22 - (-40) ] = -8\)

IV) \(34 - (-72) - 34 = 72\) and \(72\) and \(-72\) are not equal.

V) Let \(x\) be the other integer. Given, \(170 + x = -13\), solving for \(x\) gives \(x = -183\).

VI) Let \(y\) be the other integer. Given, \(-47 + y = 65\), solving for \(y\) gives \(y = 112\).