Comparing Real Numbers in 8th Grade Math

Miss Casius explains how to compare real numbers using inequality signs. She covers the less than, greater than, and equal to symbols, providing practical examples and application problems. The video includes converting numbers to decimals for easier comparison and emphasizes understanding negative numbers. The lesson concludes with application problems to reinforce the concepts.

Which symbol represents 'less than'?

• <

• =

• >

• ≥

If 9 is compared with 7 using the 'less than' symbol, which statement is correct?

• 9 < 7

• 9 = 7

• 7 > 9

• 7 < 9

What is the correct symbol to use when comparing -9 and 2?

• ≤

• =

• >

• <

Which of the following is true for the numbers 0.5 and 1/2?

• 0.5 = 1/2

• 0.5 < 1/2

• 0.5 ≥ 1/2

• 0.5 > 1/2

What is 20π approximately equal to when converted to a decimal?

• 0.628

• 62.8

• 6.28

• 627.8

Which number is larger: -20.1 or -20.5?

• -20.1

• -20.5

• They are equal

• Cannot be determined

What is the decimal equivalent of 3/11?

• 0.3

• 0.27 repeating

• 0.33

• 0.27

Who ran the fastest mile if James took 6.29 minutes and Josie took 6.15 minutes?

• They ran at the same speed

• Cannot be determined

• Josie

• James

Who used more sugar in their banana bread recipe: Pam with 3.35 cups or Jim with 3.375 cups?

• Pam

• Jim

• They used the same amount

• Cannot be determined

What is the first step in comparing real numbers?

• Compare the numbers directly

• Convert numbers to decimals

• Use a calculator

• Convert numbers to fractions