Adding and Subtracting Rational Numbers Explained

The video tutorial introduces rational numbers, explaining that they can be expressed as a ratio of two integers. It uses diagrams to illustrate the relationship between whole numbers, integers, and rational numbers. The tutorial distinguishes rational numbers from irrational numbers, providing examples of each. It then demonstrates techniques for adding and subtracting rational numbers, including working with fractions and decimals. The video concludes with practice problems to reinforce the concepts learned.

What is a rational number?

• A number that is always positive

• A number that can be written as a ratio of two integers

• A number that cannot be written as a fraction

• A number that is always negative

Which of the following is a rational number?

• 1/2

• e (Euler's number)

• π (pi)

• √2 (square root of 2)

What set of numbers includes all whole numbers and their negative opposites?

• Natural numbers

• Irrational numbers

• Rational numbers

• Integers

Which of the following is NOT a rational number?

• 3/4

• 7

• 0.5

• √2

What is the result of -6 + 4?

• 10

• -10

• 2

• -2

What is the result of -6.5 + 4.67?

• 11.17

• -11.17

• 1.83

• -1.83

What is the result of -3 - (-7)?

• -10

• 10

• 4

• -4

What is the result of 7.843 - 3.54?

• -11.383

• -4.303

• 4.303

• 11.383

Estimate the result of -4.6 + (-1.75).

• -6

• -7

• -5

• -8

What is the exact result of -8.1 + 0.439?

• -7.661

• 7.661

• -8.539

• 8.539