Math Problem Statement

Solve integer problems on a number line. Determine positions based on movement to the left or right of given numbers.

Solution

I can see the image contains a worksheet on number lines and integers. I'll help you solve the problems displayed in the image.

Section A: Mark the integers on the number line

  • This seems to ask for marking specific integers like 2-2, 55, 00, etc., on the number line.

Section B: Answer the questions using the number line below Some questions have been answered, and I'll verify them:

  1. 2 units to the left of 3 is:

    • 32=13 - 2 = 1, so the answer is 1.
  2. 6 units to the right of -1 is:

    • 1+6=5-1 + 6 = 5, so the answer is 5.
  3. 4 units to the left of -4 is:

    • 44=8-4 - 4 = -8, so the answer is -8.
  4. 3 units to the right of 7 is:

    • 7+3=107 + 3 = 10, so the answer is 10.
  5. 1 unit to the left of 10 is:

    • 101=910 - 1 = 9, so the answer is 9.
  6. 5 units to the right of -6 is:

    • 6+5=1-6 + 5 = -1, so the answer is -1.
  7. 8 units to the left of 5 is:

    • 58=35 - 8 = -3, so the answer is -3.

Would you like further details on any of these steps, or do you have additional questions?

Here are five questions that extend this topic:

  1. What is 3 units to the left of -2?
  2. If you move 7 units to the right of 0, where will you land?
  3. What happens when you move 10 units to the left of 6?
  4. Can you mark the number 0 on a number line and explain its significance?
  5. How would you describe movement to the left and right on the number line in terms of addition and subtraction?

Tip: On a number line, moving to the right means adding, and moving to the left means subtracting!

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Math Problem Analysis

Mathematical Concepts

Integers
Number Line
Addition and Subtraction

Formulas

Moving left = Subtraction, Moving right = Addition

Theorems

Basic Arithmetic on a Number Line

Suitable Grade Level

Grade 5-6