Comparing and Ordering Real Numbers

This video tutorial covers the final lesson in the real number system unit. It combines previous topics such as approximating square roots, converting fractions to decimals and vice versa, and ordering numbers. The lesson emphasizes the use of inequality signs for comparison and provides multiple examples to illustrate these concepts. Students are encouraged to use calculators and actively participate by writing notes. The tutorial also revisits converting between fractions, decimals, and percents, and concludes with a summary of key points.

Which symbol represents 'greater than'?

• ≤

• >

• <

• ≥

What is the approximate value of the square root of 8?

• 2.5

• 2.8

• 3.0

• 3.2

If you have a fraction 1/3, what is its decimal equivalent?

• 0.3333

• 0.333

• 0.33

• 0.3

How do you convert a decimal to a percentage?

• Move the decimal point one place to the left

• Move the decimal point two places to the right

• Move the decimal point two places to the left

• Move the decimal point one place to the right

What is 0.2 as a percentage?

• 2%

• 20%

• 0.2%

• 200%

What is the decimal equivalent of 2/5?

• 0.2

• 0.4

• 0.5

• 0.6

When comparing negative numbers, which of the following is true?

• The larger the absolute value, the larger the number

• The smaller the absolute value, the larger the number

• Negative numbers cannot be compared

• Negative numbers are always smaller than positive numbers

What is the approximate value of pi squared?

• 9.87

• 7.85

• 6.28

• 9.42

In descending order, which of the following is the correct sequence?

• 11.1, 11.4, 11, 9.9

• 11.4, 11.1, 11, 9.9

• 9.9, 11, 11.1, 11.4

• 11, 11.1, 11.4, 9.9

What does 'ascending order' mean?

• Least to greatest

• None of the above

• Greatest to least

• Random order