Comparing and Ordering Real Numbers

This video tutorial guides students through the process of comparing and ordering real numbers. It begins with converting fractions to decimals using a calculator, followed by calculating square roots and approximating Pi. The tutorial then demonstrates how to order these numbers from least to greatest and plot them on a number line, emphasizing the importance of using original forms when listing and plotting. The video concludes with a detailed explanation of plotting each number accurately on the number line.

What is the first step in ordering real numbers?

• Adding them together

• Finding their square roots

• Converting them to a similar form

• Graphing them on the number line

What is the decimal equivalent of 3 and a fifth?

• 3.2

• 3.5

• 3.14

• 3.6

What is the approximate value of the square root of 14?

• 3.6

• 3.2

• 3.74

• 3.14

What is the decimal form of 11 over 3?

• 3.67

• 3.6

• 3.14

• 3.2

Which number is the smallest among the given set?

• 3

• 3.14

• 3.2

• 3.6

Where would 3.14 (pi) be placed on a number line?

• At the 3.2 mark

• At the 3.74 mark

• At the 3.1 mark

• At the 3.6 mark

What is the original form of the number 3.2?

• Pi

• Square root of 14

• 3 and a fifth

• 11 over 3

Where would 11 over 3 be placed on a number line?

• At the 3.74 mark

• At the 3.6 mark

• At the 3.2 mark

• At the 3.1 mark

What is the decimal equivalent of the square root of 14?

• 3.14

• 3.2

• 3.6

• 3.74

Which number is the largest among the given set?

• 3

• 3.14

• 3.74

• 3.2