Comparing and Ordering Real Numbers

This video tutorial covers the topic of comparing and ordering real numbers. It begins with a review of previous lessons on real numbers, scientific notation, and square roots. The tutorial then explains how to order numbers in ascending and descending order using a number line. It demonstrates converting fractions and square roots to decimal form for easier comparison. The video also provides practice problems and emphasizes the importance of preparing for an upcoming quiz.

What is the main focus of today's lesson?

• Understanding the real number system

• Comparing and ordering real numbers

• Reviewing square roots

• Learning about scientific notation

What does ordering numbers in ascending order mean?

• From least to greatest

• From greatest to least

• From negative to positive

• From positive to negative

What is the most efficient way to order numbers?

• Convert all numbers to the same form and place them on a number line

• Estimate the values

• Convert all numbers to fractions

• Use a calculator to find the order

How do you convert 1/5 to a decimal?

• Divide 1 by 5

• Multiply 1 by 5

• Subtract 1 from 5

• Divide 5 by 1

What is the decimal equivalent of 3 and 1/5?

• 3.1

• 3.5

• 3.2

• 3.25

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

• 3.5

• 3.6

• 3.7

• 3.74

What is the value of Pi used in the lesson?

• 3.14

• 3.15

• 3.16

• 3.17

What is the result of the square root of 36 divided by 2?

• 4

• 2

• 3

• 6

How is the improper fraction 11/3 represented as a decimal?

• 3.3

• 3.5

• 3.6

• 3.6 repeating

Which number is the smallest when ordered in ascending order?

• Square root of 36 divided by 2

• 3 and 1/5

• Square root of 14

• Pi