Understanding Repeating Decimals

The video tutorial covers the decimal conversion of rational numbers, focusing on two examples: converting 3/8 and 2/9 into decimals. The instructor explains the concept of repeating decimals and demonstrates how to identify the correct decimal representation using a calculator. The lesson concludes with a reminder to ask questions in class if needed.

What is the decimal representation of 3/8?

• 0.375

• 0.385 with repeating 85

• 0.38

• 0.385

Which of the following represents a repeating decimal?

• 0.375

• 0.38

• 0.385 with repeating 85

• 0.385

What does a line over digits in a decimal indicate?

• The digits are ignored

• The digits repeat

• The digits are estimated

• The digits are rounded

What is the correct decimal form of 3/8?

• 0.385

• 0.385 with repeating 85

• 0.38

• 0.375

What is the decimal representation of 2/9?

• 0.23

• 0.25 with repeating 5

• 0.222

• 0.2 with repeating 2

Which decimal has a repeating digit?

• 0.2 with repeating 2

• 0.222

• 0.25

• 0.23

How do you write 0.2 with repeating 2 in decimal notation?

• 0.22 with a line over 2

• 0.2 with a line over 2

• 0.222

• 0.22

What is the result of 2 divided by 9?

• 0.23

• 0.25

• 0.2 with repeating 2

• 0.222

Which of the following is a non-repeating decimal?

• 0.375

• 0.385 with repeating 85

• 0.222

• 0.2 with repeating 2

What is the repeating part of the decimal 0.222?

• 222

• No repeating part

• 22

• 2