8.21 Ordering Rational Numbers

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Multiple Choice

Which of the following numbers is an irrational number?

• 4.6

• -7 2/3

• -√50

• 8 1/2

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Multiple Choice

Order the following numbers from least to greatest: 4.6, -√50, -7 $$-7\ \frac{2}{3}$$ , √9, 8 1/2, 10.5, -18/6, 4.

• -7 2/3, -√50, -18/6, √9, 4, 4.6, 8 1/2, 10.5

• -√50, -7 2/3, -18/6, √9, 4, 4.6, 8 1/2, 10.5

• -18/6, -7 2/3, -√50, √9, 4, 4.6, 8 1/2, 10.5

• -7 2/3, -18/6, -√50, √9, 4, 4.6, 8 1/2, 10.5

Open Ended

What does descending order mean when ordering numbers?

Multiple Choice

When ordering negative numbers, what do you need to remember?

• The number with the largest absolute value is the greatest.

• The number with the smallest absolute value is the greatest.

• Negative numbers are always less than positive numbers.

• Negative numbers are always greater than positive numbers.

Multiple Choice

Which list shows the price reductions from least to greatest?

• 2/3, 40%, 1/2, 65%, √2/5

• 40%, 1/2, √2/5, 65%, 2/3

• 1/2, √2/5, 2/3, 40%, 65%

• 40%, 1/2, 2/3, √2/5, 65%

Multiple Choice

If these are all measurements in inches, how should Pete arrange the drill bits so that they are in order from least to greatest?

• 1/4, 3/8, 7/16, 9/16, 5/32

• 9/16, 7/16, 3/8, 1/4, 5/32

• 5/32, 1/4, 3/8, 7/16, 9/16

• 5/32, 9/16, 7/16, 3/8, 1/4

Open Ended

What strategies can you use to compare and order numbers written as fractions, decimals, and percentages?

Multiple Choice

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

• √8, 2 1/2, 9/4, 230%, 2.31

• 230%, 2 1/2, 9/4, √8, 2.31

• 9/4, 230%, 2.31, 2 1/2, √8

• √8, 2 1/2, 2.31, 230%, 9/4

Open Ended

What are Jaliyah’s numbers in ascending order?

Open Ended

Explain why 0.38 is less than 0.3̅.

Open Ended

Describe the steps you would use to order a set of real numbers on a number line.

Multiple Choice

What is the decimal equivalent of √2?

• 1.41421...

• 1.73205...

• 3.14159

• 0.5

Multiple Choice

Which of the following is the correct order of the numbers π, 1/2, √2, -7/4, 10/3, √3 from least to greatest?

• -7/4, 1/2, √2, √3, π, 10/3

• -7/4, 1/2, √3, √2, π, 10/3

• 1/2, -7/4, √2, √3, π, 10/3

• -7/4, 1/2, √2, π, √3, 10/3

Multiple Choice

Which student recorded the largest diameter for the ball?

• Parker

• Bella

• Sage

• Silas

Open Ended

What do you notice about the order of the numbers from the number line when ordered least to greatest and greatest to least?

Multiple Choice

Which of the following is NOT a correct step to order real numbers without a number line?

• Convert numbers to the decimal equivalent or approximation.

• Line up the decimals.

• Use place value to compare.

• Estimate the sum of all numbers.

Multiple Choice

Arrange the following numbers in order from least to greatest: 6.8, √46, 6 7/8, 6.85̅.

• √46, 6.8, 6.85̅, 6 7/8

• √46, 6.8, 6 7/8, 6.85̅

• 6.8, √46, 6 7/8, 6.85̅

• 6.8, 6 7/8, √46, 6.85̅

Open Ended

Explain why it is important to line up the decimals when comparing the heights of the plants. What could happen if you do not line up the decimals?

Multiple Choice

Which of the following is an example of an irrational number?

• 0.25

• √49

• π

• 5.5

Open Ended

What is one thing you learned today about ordering real numbers that you found interesting or surprising?