Let's go through each question step-by-step:
Question 1: On subtracting (-4) from 0, we get
When you subtract a negative number, it's equivalent to adding the absolute value of that number. Thus:
[tex]\[ 0 - (-4) = 0 + 4 = 4 \][/tex]
The correct option is:
(a) -4
(b) 4
(c) 0
(d) none of these
The correct answer is (b) 4.
Question 2: The additive inverse of -8 is
The additive inverse of a number is the value that, when added to the original number, results in 0. Hence, the additive inverse of -8 is:
[tex]\[ -(-8) = 8 \][/tex]
The correct option is:
(a) 8
(b) -8
(c) 0
(d) 1
The correct answer is (a) 8.
Question 3: The value of [tex]\( \left| -2 \right| + \left| -3 \right| + \left| -6 \right| \)[/tex] is
Absolute value represents the distance of a number from 0 on the number line, disregarding direction. Therefore:
[tex]\[ \left| -2 \right| = 2 \][/tex]
[tex]\[ \left| -3 \right| = 3 \][/tex]
[tex]\[ \left| -6 \right| = 6 \][/tex]
Adding these absolute values together:
[tex]\[ 2 + 3 + 6 = 11 \][/tex]
The correct option is:
(a) -7
(b) -1
(c) 5
(d) 11
The correct answer is (d) 11.
So, the final chosen options are:
1. (b) 4
2. (a) 8
3. (d) 11
