High School

For a math project, Cher's group has been given several rational numbers to compare and position on a number line.

Part A: Which of the following comparisons is true?

A. [tex]-56 > -116[/tex]
B. [tex]-116 > 56[/tex]
C. [tex]-56 > 116[/tex]
D. [tex]116 < 56[/tex]

Answer :

Answer: The comparison that is true is −56 > −116.

Step-by-step explanation:

When comparing numbers, the greater number has a greater absolute value. The absolute value of a number is its distance from 0 on the number line, and is always a positive number. So, |-56| = 56 and |-116| = 116. Since 56 is greater than 116, it follows that -56 > -116.

Hi there, here's your answer:

-56 > -116

This is true as the smallest negative integer is -∞ and the greatest integer is -1.

-116 > 56

This is false as positive integers are always greater than negative integers.

-56 > 116

Just like the previous one, this is also false.

116 < 56

This is also false as 116 being a 3-digit number is obviously greater than 56, which is a 2-digit number.

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