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42 votes
42 votes
. Which list shows the numbers in descending order?

a
-19/2, -3 1/4, -1.2, 38/6, 7

b
7, 38/6, -19/2, -3 1/4, -1.2

c
-19/2, 7, 38/6, -3 1/4, -1.2

d
7, 38/6, -1.2, -3 1/4, -19/2

User MohamedEzz
by
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1 Answer

22 votes
22 votes

Answer:

d: 7, 38/6, -1.2, -3 1/4, -19/2.

Explanation:

First, divide the fractions to get decimals, this is an easier approach to compare all the numbers.

-19/2 = -9.5

-3 1/4 = 4 x -3 = -12 + 1 = -3.25

38/6= 6.3333 (terminal 3)

The greatest numbers for this list is 6.33, -3.25, and -9.5. The rest of the numbers include -1.2 and 7.

With the entire order, we observe which lists are descending, starting with a positive or a negative number.

1. order can be: 7, 6.33, -1.2, -3.25, and -9.5 or 7, 38/6, -1.2, -3 1/4, -19/2.

2. order commonly confused can be: -9.5, -3.25, -1.2, 6.33, and 7 or -19/2, -3 1/4, -1.2, 38/6, 7.

The only order showing this is d: 7, 38/6, -1.2, -3 1/4, -19/2.

The reason why its not the second order starting with -19/2 is because descending typically refers to a positive number going down to a negative number. However, both orders can be right. For the sake of this problem, the best option is d.

User Prashanth
by
3.3k points