Podcast
Questions and Answers
What is the result of rewriting the expression $3 - (-7)$ as an addition problem?
What is the result of rewriting the expression $3 - (-7)$ as an addition problem?
What is the distance between the points -10 and -9?
What is the distance between the points -10 and -9?
When multiplying two negative numbers, such as $(-4)(-3)$, what is the result?
When multiplying two negative numbers, such as $(-4)(-3)$, what is the result?
Which of the following expressions correctly rewrites $-480 - (-4)$ as an addition problem?
Which of the following expressions correctly rewrites $-480 - (-4)$ as an addition problem?
Signup and view all the answers
What is the absolute value distance between -4 and 5?
What is the absolute value distance between -4 and 5?
Signup and view all the answers
How can you express the subtraction of a positive integer from a negative integer using addition?
How can you express the subtraction of a positive integer from a negative integer using addition?
Signup and view all the answers
What is the significance of absolute values in determining distances on a number line?
What is the significance of absolute values in determining distances on a number line?
Signup and view all the answers
Discuss the result of multiplying two negative integers. What pattern do you notice?
Discuss the result of multiplying two negative integers. What pattern do you notice?
Signup and view all the answers
When rewriting the expression $-480 - (-4)$ as addition, what is the final result?
When rewriting the expression $-480 - (-4)$ as addition, what is the final result?
Signup and view all the answers
Explain how the absolute value can be applied to find distances between two negative integers.
Explain how the absolute value can be applied to find distances between two negative integers.
Signup and view all the answers
Study Notes
Adding Opposites
- Subtracting a negative number is the same as adding its opposite.
- For example, -4 - (-6) can be rewritten as -4 + 6.
Multiplying and Dividing Positive and Negative Numbers
- The product of two negative numbers is positive.
- The product of a positive and a negative number is negative.
- Dividing a negative number by a positive number results in a negative number.
Distance Between Two Points
- The distance between two points on a number line is found using the absolute value of their difference.
- The absolute value of a number is its distance from zero.
- For example, the distance between -10 and -9 is |-10 - (-9)| = 1.
Adding Opposites
- When subtracting a negative number, you can rewrite the expression as addition
- Adding the opposite of a negative number results in a positive number. For example, -4 + 6 = 2
Multiplying and Dividing Positive and Negative Numbers
- The product of two negative numbers is always positive.
- The product of a positive and a negative number is always negative.
- Dividing a negative number by a negative number yields a positive result.
Distance Between Two Points
- To find the distance between two points on a number line, use the formula: |a - b|, where 'a' and 'b' are the two points.
- The absolute value represents the distance from zero.
- The distance between two points is always a positive value.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of how to add and subtract negative numbers, as well as the rules for multiplying and dividing positive and negative values. This quiz also covers calculating distances between two points on a number line using absolute values.
