Question

1.Which statement about the sum of a negative number and a positive number is true? Select two answers.

Answer 1

The correct Options are Option E and Option F

Step-by-step explanation:

We need to identify the statements which are true about:

the sum of a negative number and a positive number

We will go through every option to find correct results.

Option A: The sum must be positive.

Not true for every case

Option B : The sum will be positive if the absolute value of the negative number is greater than the absolute value of the positive number.

Not true because if negative number has greater value than the answer will be negative for example: -7+5 = -2

Option C: The sum must be negative.

Not true for every case. The sum can be positive if positive number has greater value than negative number. For example: -3+5 = 2

Option D:  The sum must be zero.

Not true for every case

Option E: The sum will be negative if the absolute value of the negative number is greater than the absolute value of the positive number.

This is true for every case.

Example:

-3+2 = -1

-10+6 = -4 etc

Option F: The sum will be zero if the absolute value of the negative number is equal to the absolute value of the positive number.

This is true for every case

Example:

-3+3 = 0

-10+10 = 0 etc

Hence The correct Options are Option E and Option F

Learn More:

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Keywords: addition, positive and negative value

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Answer 2

Answer:

Option E and F

Step-by-step explanation:

To find : Which statement about the sum of a negative number and a positive number is true?

Solution :

The sum of a negative number and positive number depends upon the value of number.

As greater the number the sign on it is the required sign.

Accordingly from the options the true statements are,

E) The sum will be negative if the absolute value of the negative number is greater than the absolute value of the positive number.

As for example $-6+2=-4$

F) The sum will be zero if the absolute value of the negative number is equal to the absolute value of the positive number.

As for example $-4+4=0$

Therefore, Option E and F are correct.