Question

Which of the following is true

(1 Point)

(-8)+(-4) >(-8) -(-4))

(-8)+(-4)=(-8)-(-4)

(-8)+(-4)<(-8)-(-4)

None of these

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Answer 1

Answer:

3rd Option

As in the negative number case the number closest to 0 will be greater than the number which is away from it.

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Answer 2

The right answer is option (C) (-8) + (-4) < (-8) -(-4).  

• Integers are the numbers that are used for counting or ordering. The addition and multiplication of integers follow certain rules. they are:

1. The addition of two positive integers gives us a positive integer.
2. The addition of negative integer results in a negative integer.
3. The addition of two integers with different signs gives us the integer having the same sign as that of the greater integer.
4. The product of two negatives or two positive signs gives us a positive sign.
5. The product of two opposite signs gives us a negative sign.

• -8 and -4 have the same sign (negative) . Hence (-8) + (-4) = -12.

• -(-4) involves product of two sign. So -(-4) = +4.

         Hence, (-8) -(-4) = (-8) + 4 = -4

• As -12 < -4, we can conclude that (-8) + (-4) < (-8) -(-4).

∴ The right answer is option (C) (-8) + (-4) < (-8) -(-4).  

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