Ordering Real Numbers on a Number Line

In this video, Wagstaff explains how to order real numbers by converting them to decimals. The process involves using a calculator to convert various forms of numbers, such as square roots and percentages, into decimal form. Once converted, the decimals are aligned to the same number of decimal places to facilitate easy comparison. The video concludes with ordering the numbers on a number line from least to greatest, demonstrating the importance of decimal conversion in simplifying the process.

What is the first step in ordering real numbers?

• Find the square root of all numbers

• Convert all numbers to decimals

• Arrange numbers in ascending order

• Convert all numbers to fractions

How do you convert a percentage to a decimal?

• Multiply by 10

• Divide by 10

• Divide by 100

• Multiply by 100

What is the decimal equivalent of 81%?

• 0.81

• 81.0

• 0.081

• 8.1

Which calculator function is used to convert a fraction to a decimal?

• Option 3

• Option 4

• Option 2

• Option 1

What is the decimal representation of 8 and 1/3?

• 8.333

• 8.3

• 8.33

• 8.13

Why do we extend decimals to have the same number of decimal places?

• To make them look nicer

• To convert them to fractions

• To make them easier to compare

• To find their square roots

What is the smallest negative number in the given set?

• -8.0000

• -8.3333

• -8.1000

• -8.3750

Where are negative numbers placed on the number line?

• In the middle

• On the right side

• Above the line

• On the left side

What is the decimal equivalent of the square root of 66?

• 8.3750

• 8.3333

• 8.1000

• 8.1240

Which number is placed last on the positive side of the number line?

• 8.1

• 8.3

• 8.3333

• 8.1240