Math Problem Statement

Integers in Real Life: Show your understanding of integers by completing various tasks including finding opposites, evaluating absolute values, ordering on a number line, making comparisons, and representing integers in real-life situations.

Solution

The worksheet you’ve uploaded involves understanding integers through opposites, absolute values, number lines, and comparisons. Let's go through the parts of the worksheet one by one.

  1. Opposites of integers:

    • The opposite of 11 is 1-1.
    • The opposite of 1-1 is 11.
  2. Absolute values:

    • The absolute value of 11 is 11, written as 1=1|1| = 1.
    • The absolute value of 1-1 is also 11, written as 1=1|-1| = 1.
  3. Number line:

    • You need to plot 11 and 1-1 on the number line, with 11 to the right of 00 and 1-1 to the left of 00.
  4. Comparisons:

    • Use >> and << to compare the numbers. Two examples:
      • 1>11 > -1
      • 1<1-1 < 1
  5. Real-life situation for integers:

    • You could represent 11 and 1-1 in a real-life scenario. For example:
      • 11 could represent gaining $1.
      • 1-1 could represent losing $1.

Would you like further explanations or help with another part of the worksheet?

Here are five related questions to extend this topic:

  1. What is the opposite of any positive integer?
  2. How do you represent the absolute value of 5-5 on a number line?
  3. Can you find two more examples of integer comparisons using >> and <<?
  4. How does temperature relate to positive and negative integers?
  5. How would you represent the opposite of zero?

Tip: When comparing integers, remember that any positive integer is always greater than any negative integer!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Integers
Opposites of integers
Absolute value
Number line
Comparing integers

Formulas

Opposite of a number: If x is a number, its opposite is -x.
Absolute value: |x| represents the non-negative value of x.

Theorems

Properties of Opposites: The opposite of a positive integer is a negative integer and vice versa.
Absolute Value Theorem: The absolute value of any number is its distance from zero on the number line.

Suitable Grade Level

Grades 6-8