Math Problem Statement

Compare the values using <, >, or = and form a code from the answers.

Solution

Let's break down and solve each comparison, and then we'll generate the sequence of symbols based on the results:

Problem Breakdown:

  1. a) -6 _ 6

    • 6-6 is smaller than 66.
    • Answer: <<
  2. b) 0 _ -9

    • 00 is greater than 9-9.
    • Answer: >>
  3. c) |7| _ -7

    • 7=7|7| = 7 (absolute value of 7 is 7) and 7-7 remains 7-7.
    • 77 is greater than 7-7.
    • Answer: >>
  4. d) |−5| _ 3

    • 5=5|-5| = 5 (absolute value of 5-5 is 5).
    • 55 is greater than 33.
    • Answer: >>
  5. e) -10 _ |−9|

    • 9=9|-9| = 9 (absolute value of 9-9 is 9).
    • 10-10 is smaller than 99.
    • Answer: <<
  6. f) |−1| _ 1

    • 1=1|-1| = 1 (absolute value of 1-1 is 1), and the other side is also 11.
    • 11 is equal to 11.
    • Answer: ==

Code (without spaces or commas):

<,>,>,>,<,=<,>,>,>,<,=

Would you like more details on any specific comparison?

Here are 5 relative questions:

  1. What is the absolute value and how does it affect numbers?
  2. Why is 6-6 less than 66?
  3. How do negative numbers compare to positive numbers?
  4. How does the absolute value change the sign of a negative number?
  5. What situations use comparing numbers in real life?

Tip: When comparing numbers with absolute values, always convert them to positive first before comparing.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Comparing Integers

Formulas

|x| = x if x ≥ 0; |x| = -x if x < 0

Theorems

Absolute value properties
Number comparison rules

Suitable Grade Level

Grades 6-8