Exploring the Ordering of Real Numbers

The video tutorial covers the concept of ordering real numbers, starting with definitions and moving through examples. It explains how to convert various forms of numbers into decimals for easier comparison. Three examples are provided: ordering from greatest to least, least to greatest, and dealing with larger numbers. The tutorial emphasizes converting numbers to a common form and using a calculator for assistance.

When ordering numbers from least to greatest, in which direction do you move on a number line?

• Right to left

• Left to right

• Bottom to top

• Top to bottom

What is the first step in ordering numbers that are in different forms (fractions, decimals, etc.)?

• Convert all numbers to scientific notation

• Convert all numbers to decimals

• Convert all numbers to fractions

• Convert all numbers to percents

What is 8/5 converted to a decimal?

• 1.7

• 1.5

• 1.6

• 1.4

What does a negative exponent in scientific notation indicate?

• The number is negative

• The number is positive

• The decimal moves to the left

• The decimal moves to the right

What is the decimal equivalent of 18.5%?

• 0.185

• 1.85

• 0.0185

• 18.5

In Example B, which number is already in the correct order?

• Negative 7/8

• 8.5%

• Negative 2/3

• Square root of 1

What is the decimal form of negative 2/3?

• -0.6

• -0.666...

• -0.65

• -0.66

What is the result of moving the decimal three places to the right for -2.5 x 10^3?

• -250

• -2500

• -0.0025

• -25

What is 1.3 x 10^3 in decimal form?

• 1300

• 130

• 0.13

• 13

Which number is the largest in Example C?

• 822

• 8.5

• 533.3

• 1.3 x 10^3