Subtracting Rational Numbers Using an Algorithm

This video tutorial teaches how to subtract rational numbers using an algorithm, without models. It reviews adding numbers with the same and opposite signs, explains rational numbers and their relation to integers, and explores patterns in arithmetic operations. The video demonstrates the equivalence of subtracting a number and adding its opposite, using examples and practice problems on a number line.

What happens on a number line when you add two positive numbers?

• You move to the left.

• You move to the right.

• You stay in the same place.

• You move in both directions.

Which of the following is a rational number?

• Infinity

• Square root of 2

• Pi

• Negative 4

What is the relationship between integers and rational numbers?

• They are completely different sets.

• Rational numbers are a subset of integers.

• Integers are a subset of rational numbers.

• Integers are not related to rational numbers.

What is the result of subtracting a positive number?

• It is the same as subtracting zero.

• It is the same as adding a negative number.

• It is the same as adding a positive number.

• It is the same as subtracting a negative number.

If you subtract negative 1 from a number, what is the equivalent operation?

• Adding negative 1

• Subtracting positive 1

• Adding positive 1

• Subtracting zero

What is the result of negative 25 minus 75?

• Negative 100

• Negative 50

• Negative 25

• Zero

What is the equivalent expression for 1.5 minus negative 1.25?

• 1.5 minus 1.25

• 1.5 plus 1.25

• 1.5 plus negative 1.25

• 1.5 minus 0