Comparing and Ordering Real Numbers in 8th Grade Math

In this video, Jackson from Height Math reviews the concept of comparing and ordering real numbers for eighth graders. The video covers steps to convert numbers into a common form, such as decimals or percentages, and provides examples comparing fractions, percentages, square roots, and negative numbers. It also includes workbook problems to reinforce the learning. The video encourages students to think critically about number comparisons and provides tips for remembering inequality signs.

What is the first step in comparing and ordering numbers?

• Change all numbers to the same form

• Compare the numbers directly

• Convert all numbers to fractions

• Read the instructions

How do you convert 90% to a decimal?

• Move the decimal point two places to the left

• Multiply by 100

• Divide by 10

• Add a decimal point at the end

Which of the following is greater: the square root of 16 or the square root of 8?

• They are equal

• Square root of 8

• Square root of 16

• Cannot be determined

What is 6/12 converted to a decimal?

• 0.5

• 1.0

• 0.25

• 0.75

Which is greater: -0.87 or -8/9?

• Cannot be determined

• -0.87

• -8/9

• They are equal

In the problem from the workbook, which number is the smallest?

• 37/6

• -5.17

• Square root of 33

• -26/5

What is 37/6 converted to a decimal?

• 6.5

• 5.74

• 5.12

• 6.17

Which list shows the numbers in order from least to greatest?

• Negative 26/5, Negative 5.17, Square root of 33, 37/6

• Negative 5.17, 37/6, Negative 26/5, Square root of 33

• Negative 26/5, Square root of 33, Negative 5.17, 37/6

• Negative 5.17, Negative 26/5, 37/6, Square root of 33

Which number is the greatest: 3/25, Square root of 3/11, 9/100, or Pi/24?

• Pi/24

• 9/100

• Square root of 3/11

• 3/25

What is the decimal equivalent of Pi/24?

• 0.13

• 0.09

• 0.16

• 0.12