Question

Which of the following are true statements about the expression 4−(−4)?

a) The expression simplifies to 8.
b) It represents the subtraction of -4 from 4.
c) The result is positive.
d) The expression is equivalent to 4+4.

Answer 1

For the expression 4−(−4), the true statements are that it simplifies to 8, it represents the subtraction of −4 from 4, the result is positive, and it is equivalent to 4+4.

Step-by-step explanation:

To determine which statements are true about the expression 4−(−4), let’s evaluate the expression step by step:

1. According to the rules of subtraction and addition, when you subtract a negative number, it is equivalent to adding the positive form of that number. Hence, 4−(−4) = 4+4.
2. The result of adding two positive numbers, in this case 4 and 4, is a positive number. Therefore, the expression simplifies to 8, and the result is positive.
3. It does represent the subtraction of −4 from 4, but due to the subtraction of a negative, it becomes an addition.

So, the true statements about the expression are:

• The expression simplifies to 8.
• It represents the subtraction of −4 from 4.
• The result is positive.
• The expression is equivalent to 4+4.