Understanding Numbers and Inequalities

This lesson focuses on comparing and ordering rational numbers, including fractions and decimals. It covers equivalent fractions and decimals, ordering techniques, and using number lines for comparison. The lesson includes practice problems and real-world applications, emphasizing understanding inequalities and absolute values.

What is the decimal equivalent of one-fourth?

• 0.1

• 0.25

• 0.5

• 0.75

Which of the following is the correct order from least to greatest: 0.5, 1/4, 0.75?

• 1/4, 0.5, 0.75

• 0.5, 1/4, 0.75

• 1/4, 0.75, 0.5

• 0.75, 0.5, 1/4

If a number is to the left on a number line, what does it indicate about its value?

• It is greater

• It is zero

• It is lesser

• It is equal

Convert 3/5 into a decimal.

• 0.3

• 0.5

• 0.6

• 0.75

Which of the following is the smallest: -0.5, -0.75, -0.25?

• 0

• -0.25

• -0.75

• -0.5

What is the inequality for a temperature colder than -7.2°F?

• -7.2°F < -7.3°F

• -7.3°F < -7.2°F

• -7.3°F > -7.2°F

• -7.1°F < -7.2°F

Who spent more on video games: Albert with 1/2 or Rosa with 0.4?

• Neither spent anything

• Both spent equally

• Rosa

• Albert

If a person donates 4.25 pounds of aluminum, do they receive a movie coupon?

• Only if they donate less

• Only if they donate more

• No

• Yes

Which kitten's weight is furthest from zero: -1.125, 3.1, 2.5?

• 2.5

• 3.1

• 0

• -1.125

How do you order a positive number, a negative number, and zero?

• Negative, Positive, Zero

• Zero, Positive, Negative

• Negative, Zero, Positive

• Positive, Zero, Negative