Understanding Subtraction and Number Lines

The video tutorial explains how to subtract rational numbers using number lines, focusing on the concept of subtracting negative numbers as adding their opposites. It includes practical examples, such as a word problem about water levels, to illustrate the concept of change over time. The tutorial also covers textbook explanations and provides practical examples to reinforce understanding.

What direction do you move on a number line when subtracting a positive rational number?

• Upwards

• Left, towards the negative

• Right, towards the positive

• Downwards

When subtracting a negative rational number, which direction do you move on the number line?

• Right, towards the positive

• Downwards

• Upwards

• Left, towards the negative

In the Lake Michigan example, what was the overall change in water level from March to May?

• 1/2 foot increase

• 1/4 foot increase

• 3/4 foot decrease

• No change

To find the change in time from 1 PM to 3 PM, which value do you subtract from which?

• Subtract 2 PM from 3 PM

• Add 1 PM and 3 PM

• Subtract 3 PM from 1 PM

• Subtract 1 PM from 3 PM

What is the result of subtracting a negative number from a positive number?

• A larger positive number

• A smaller positive number

• Zero

• A negative number

How do you rewrite the subtraction of a negative number?

• As the subtraction of a positive number

• As the addition of a positive number

• As the addition of a negative number

• As the subtraction of zero

What is the sum of 2.6 and the opposite of -3.2?

• 5.8

• 1.4

• 2.8

• 0.6

When subtracting a positive subtrahend, which direction does the arrow face on a number line?

• Left, towards the negative

• Right, towards the positive

• Upwards

• Downwards

If the subtrahend is negative, in which direction does the arrow face on a number line?

• Right, towards the positive

• Left, towards the negative

• Upwards

• Downwards

What is the additive inverse of a number?

• Zero

• The reciprocal of the number

• The opposite of the number

• The number itself