-48 + (-40) = ? -58 + 30 = ?

Understand the Problem

The question involves solving two mathematical expressions involving addition and negative numbers. It requires simplifying the expressions to find their sums.

Answer

1. $-88$ 2. $-28$

Steps to Solve

Evaluate the first expression (-48 + (-40))

Here, we are adding two negative numbers. When adding negative numbers, you add their absolute values and keep the negative sign.

[ |-48| + |-40| = 48 + 40 = 88 ]

So,

[ -48 + (-40) = -88 ]

Evaluate the second expression (-58 + 30)

In this case, we are adding a negative number and a positive number. To do this, subtract the smaller absolute value from the larger absolute value and take the sign of the larger absolute value.

[ |-58| - |30| = 58 - 30 = 28 ]

Since (-58) is larger in absolute value, the result will be negative:

[ -58 + 30 = -28 ]

The answers are:

For (-48 + (-40)): $-88$
For (-58 + 30): $-28$

More Information

The results show how adding negative and positive integers affects the sum. In both cases, the sum remains negative due to the larger absolute values of the negative numbers involved. Knowing how to handle negative numbers is essential in mathematics.

Tips

Confusing signs: Some may mistakenly think that the sum of two negative numbers can be positive. To avoid this, remember that two negatives always yield a negative.
Incorrect addition of positive and negative numbers: It's crucial to subtract the smaller absolute value from the larger one.

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