Question

Let's simplify the given numerical expressions:

∣−7∣−7=7−7=0
2∣−7∣=2×7=14
(−7)2=49 (because squaring removes the negative sign)
−72=−49
−7−∣−7∣=−7−7=−14

a) 14
b) -14
c) -49
d) 49
e) 0

Answer 1

The problem involves simplifying numerical expressions with absolute value and squaring. The correct answer is –”14”, as –”7” minus the absolute value of –”7” results in –”14”.

Step-by-step explanation:

Let's simplify the given numerical expressions and find the correct answer:

1. –” signifies absolute value, which is the distance a number is from zero, hence it's always positive. So –”–7” means we ignore the negative sign and just have 7. Thus, –”–7” – 7 becomes 7 – 7, which equals 0.
2. When you multiply a number by an absolute value, you treat the number within the absolute value as positive. Therefore, 2 –”–7” equals 2 × 7, which gives us 14.
3. –”‒” signifies squaring, which means multiplying a number by itself. Squaring a negative number results in a positive number because a negative times a negative equals a positive (as per rule 6), hence (–”7”)² = 49.
4. However, –”7”² without parentheses means you square 7 first (which is 49), then apply the negative sign, so it becomes –”49”.
5. When subtracting an absolute value from a negative number such as –”7” – –”–7”, it results in –”7” – 7, simplifying to –”14”.

With the simplifications above, we find that the correct answer is b) –”14”.