Q.29 Look at the number line below
Which of the following has the greatest value?
1. q + p
2. q - p
3. qp
4. q/p
Answers
Your answer is 2) q - p.
Because when p is a negative integer as it is in left side of 0 and q is a positive integer as it is right side of 0.
Let's understand this by a simple example.
Suppose if p= -2 and q= 3, then by applying all the value of p and q in the given formulas:
1) q+p = 3+(-2) = 3-2 = 1
2) q-p = 3-(-2) = 3+2 = 5
3) q×p = 3×(-2) = -6 (negative integer has less value than positive integer.)
4) q/p = 3/-2
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Given : A number line
To Find: Which of the following has the greatest value?
1. q + p
2. q - p
3. qp
4. q/p
Solution:
Numbers with a negative sign are less than zero
Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.
+ sign numbers can be denoted as simply numbers
On a number line the number increases as we move to the right and decreases as we move to the left.
From the given number line
q is on the right of zero Hence +ve
p is on the left of zero hence - ve
1. q + p = +ve + (-ve) Hence less than q
2. q - p = +ve - (-ve) = +ve + ve Hence greater than q
3. qp = (+ve)(-ve) = - ve less than 0
4. q/p = (+ve)/(-ve) = - ve less than 0
Hence q - p has the greatest value
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