Understanding Decimals and Fractions

This video tutorial covers the concept of rational numbers, explaining their relationship with whole numbers and integers. It provides a detailed guide on converting fractions to decimals and vice versa, using both manual methods and calculators. The lesson also includes handling mixed numbers and offers practice problems to reinforce learning. Key concepts such as terminating and repeating decimals are highlighted, preparing students for future lessons on irrational numbers.

Which of the following is NOT a characteristic of whole numbers?

• They include zero.

• They include negative numbers.

• They are used for counting.

• They do not include fractions.

What is a rational number?

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

• A number that cannot be expressed as a fraction.

• A number that is always positive.

• A number that is always negative.

How can you convert a fraction to a decimal?

• Multiply the numerator by the denominator.

• Add the numerator and the denominator.

• Subtract the denominator from the numerator.

• Divide the numerator by the denominator.

What is the decimal representation of 1/4?

• 0.5

• 0.25

• 0.125

• 0.75

Which of the following is a repeating decimal?

• 0.333...

• 0.5

• 0.25

• 0.75

What is the decimal equivalent of 5/8?

• 0.625

• 0.75

• 0.5

• 0.875

How do you express 6 and 3/4 as a decimal?

• 6.25

• 6.5

• 6.75

• 6.33

What is a terminating decimal?

• A decimal that cannot be expressed as a fraction.

• A decimal that goes on forever without repeating.

• A decimal that ends after a finite number of digits.

• A decimal that repeats a pattern indefinitely.

Which of the following fractions is equivalent to 0.2?

• 1/2

• 1/5

• 1/4

• 1/3

What is the decimal form of 7/8?

• 0.875

• 0.75

• 0.5

• 0.625