Converting Decimals and Fractions in Rational Numbers

This video tutorial focuses on rational numbers, explaining their classification and types, including fractions, decimals, and perfect squares. It covers the conversion between fractions and decimals, detailing the process for both terminating and repeating decimals. The tutorial also provides practical examples and calculator tips to aid understanding.

Which of the following is a rational number?

• π

• √2

• 0.25

• e

What type of decimal is 0.333...?

• Terminating

• Repeating

• Irrational

• Neither

How would you convert the fraction 3/4 to a decimal?

• Divide 3 by 4

• Multiply 4 by 3

• Divide 4 by 3

• Multiply 3 by 4

What is the decimal form of 5/8?

• 0.5

• 0.8

• 0.625

• 0.75

How would you read the decimal 0.125 in terms of place value?

• One hundred twenty-five

• One hundred twenty-five tenths

• One hundred twenty-five hundredths

• One hundred twenty-five thousandths

What is the fraction form of 0.75?

• 3/4

• 1/2

• 2/3

• 1/4

What is the simplified fraction form of 0.12?

• 3/25

• 3/20

• 1/8

• 1/4

What is the first step in converting a repeating decimal to a fraction?

• Multiply by 10

• Divide by the repeating part

• Set the decimal equal to x

• Subtract the repeating part

If x = 0.666..., what is 10x?

• 6.66...

• 66.6...

• 0.666...

• 6.6...

What is the fraction form of 0.57 repeated?

• 57/100

• 57/99

• 19/33

• 57/90