Math Problem Statement
Solution
Let's work through the questions based on the image you uploaded:
6. is between which two numbers on the number line?
- lies between and .
- Correct Answer: D) and
7. What happens when you start at any number on a number line and add its additive inverse?
- Adding the additive inverse of any number results in zero.
- Correct Answer: C) The sum is zero.
8. Which set of numbers would be found to the left of 4 on the number line?
- Numbers to the left of 4 would be less than 4, so the set must have negative or smaller positive numbers.
- Correct Answer: A) {-1, 4, -5}. Note: In the options, set A has numbers smaller than 4.
9. On a number line, Bill places a marble on 12. He rolls the marble to the left and it moves 21 spaces and then rolls back to the right 3 spaces. What number does the marble end up on?
- Start at 12.
- Moving 21 spaces to the left: .
- Rolling 3 spaces to the right: .
- Correct Answer: D)
10. Which number would be found on the number line between 0 and ?
- Numbers between 0 and are negative decimals closer to 0, so fits.
- Correct Answer: C)
11. Circle the number with the highest value.
- The highest value among , , and is , since it is closer to 0.
- Correct Answer: A)
Would you like more detailed explanations on any of these questions?
Here are some related questions to explore further:
- What is an additive inverse, and how do you find it for any number?
- How do we calculate the position of a point on a number line when we move it left or right?
- What defines the relative position of negative decimals on the number line?
- How do you compare values of negative numbers to determine which is larger?
- How do operations like addition or subtraction affect numbers on the number line?
Tip: Remember, when comparing negative numbers, the one closer to zero is larger!
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Math Problem Analysis
Mathematical Concepts
Number lines
Additive inverses
Positioning on the number line
Comparing negative numbers
Formulas
Additive Inverse: For any number 'a', its additive inverse is '-a'.
Movement on a number line: Right movement = addition, Left movement = subtraction.
Theorems
Additive Inverse Theorem: Any number added to its additive inverse results in zero.
Suitable Grade Level
Grades 6-8