Using basic knowledge of arithmetic operators, we find that a possible choice of Mo's number card is -16, -6, 2, 3 and 16.
What are arithmetic operators?
The arithmetic operators perform addition, subtraction, multiplication, division, exponentiation, and modulus operations.
Given the information about the five numbers.
Let the five numbers be a < b < c < d < e.
Let a = -16 to begin with.
Given, range = 32 implies that e - a = 32.
e = 32 + a = 32 - 16 = 16
The greatest number divided by the median number is 8.
Greatest number = e = 16
Median = middle number = c
[tex]\frac{e}{c} = 8\\ \\c = \frac{e}{8} = \frac{16}{8} = 2[/tex]
The three numbers in the middle have a product of -36.
[tex]bcd = -36\\\\bd = \frac{-36}{2} = -18\\[/tex]
Since, bd = -18, one of b or d has to be negative.
We know, b < d, thus b is negative and d is positive number.
Also, b < 2 and d > 2.
The best possible choice is b = -6 and d = 3.
The 5 numbers chosen by Mo are -16, -6, 2, 3 and 16.
Learn more about arithmetic operations here
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