Question

what is the value of (-22)-[(-23)-(-17)-(-61)]​

Answer 1

Question : -

What is the value of (-22)-[(-23)-(-17)-(-61)]

Solution : -

(-22)-[(-23)-(-17)-(-61)]

-22-[-23+17+61]

-22-[-23+78]

-22-55

-77

Note : -

Same sign = addition

Opposite sign = subtraction

Answer 2

Concept:

In contrast to adding two negative integers, which produces a sum with a negative sign, adding two positive integers produces positive integers. However, adding two different signed integers will only produce subtraction, with the sign of the result matching that of the larger number. Here are a few illustrations:

2+2 = 4

2 + (-2) = 0

-2 + (-2) = -4

−2 - (-2) = 0

Types of properties:

Closure Property: The sum of any 2 integers results in an integer.

Associate property: The sum of any two integers is the same regardless of the sequence in which they are added, according to the associate property.

Given:

(-22)-[(-23)-(-17)-(-61)]​

Find:

What is the value of (-22)-[(-23)-(-17)-(-61)]​

Solution:

(-22)-[(-23)-(-17)-(-61)]

=-22-[-23+17+61]

=-22-[-23+78]

=-22-55

=-77

Therefore, the answer is 77

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