Course: Lumos StepUp: TNReady Online Practice And Assessments - Grade 8 Mathematics
Lesson: Approximating Irrational Numbers
Which of the following choices represent the correct order of the given real numbers on the number
line (from least to greatest)?
A) 0.75, ?.49, 1/2, 0.49
B) 0.49, 1/2, ?.49, 0.75
C) ?.49, 0.49, 1/2, 0.75
D) 0.49, 1/2, 0.75, ?.49
Standard: 8.NS.A.2
Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers
Description: Use rational approximations of irrational numbers to compare the size of irrational numbers,
locate them approximately on a number line diagram, and estimate the value of expressions (e.g., ?^2). For
example, by truncating the decimal expansion of ?2 (square root of 2), show that ?2 is between 1 and 2, then
between 1.4 and 1.5, and explain how to continue on to get better approximations.
© Lumos Information Services 2016
http://www.lumoslearning.com/
Page 1 of 5
Course: Lumos StepUp: TNReady Online Practice And Assessments - Grade 8 Mathematics
Lesson: Approximating Irrational Numbers
If you fill in the _____ in each of the following choices with ?7, which displays the correct ordering
from least to greatest?
A) ___, 2.5, 2.63, 2.65
B) 2.5, ___, 2.63, 2.65
C) 2.5, 2.63, ___, 2.65
D) 2.5, 2.63, 2.65, ___
Standard: 8.NS.A.2
Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers
Description: Use rational approximations of irrational numbers to compare the size of irrational numbers,
locate them approximately on a number line diagram, and estimate the value of expressions (e.g., ?^2). For
example, by truncating the decimal expansion of ?2 (square root of 2), show that ?2 is between 1 and 2, then
between 1.4 and 1.5, and explain how to continue on to get better approximations.
© Lumos Information Services 2016
http://www.lumoslearning.com/
Page 2 of 5
Course: Lumos StepUp: TNReady Online Practice And Assessments - Grade 8 Mathematics
Lesson: Approximating Irrational Numbers
Order the following numbers on a number line (least to greatest).
A) 1.8, 1.35, 2.5, ?5
B) 1.35,?5, 1.8, 2.5
C) 1.35, 1.8, ?5, 2.5
D) 1.35, 1.8, 2.5, ?5
Standard: 8.NS.A.2
Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers
Description: Use rational approximations of irrational numbers to compare the size of irrational numbers,
locate them approximately on a number line diagram, and estimate the value of expressions (e.g., ?^2). For
example, by truncating the decimal expansion of ?2 (square root of 2), show that ?2 is between 1 and 2, then
between 1.4 and 1.5, and explain how to continue on to get better approximations.
© Lumos Information Services 2016
http://www.lumoslearning.com/
Page 3 of 5
Course: Lumos StepUp: TNReady Online Practice And Assessments - Grade 8 Mathematics
Lesson: Approximating Irrational Numbers
Between which pairs of rational numbers does ?5 lie on the number line?
A) 2.0 and 2.1
B) 2.1 and 2.2
C) 2.2 and 2.3
D) 2.3 and 2.4
Standard: 8.NS.A.2
Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers
Description: Use rational approximations of irrational numbers to compare the size of irrational numbers,
locate them approximately on a number line diagram, and estimate the value of expressions (e.g., ?^2). For
example, by truncating the decimal expansion of ?2 (square root of 2), show that ?2 is between 1 and 2, then
between 1.4 and 1.5, and explain how to continue on to get better approximations.
© Lumos Information Services 2016
http://www.lumoslearning.com/
Page 4 of 5
Course: Lumos StepUp: TNReady Online Practice And Assessments - Grade 8 Mathematics
Lesson: Approximating Irrational Numbers
Between which two whole numbers does ?5 lie on the number line?
A) 1 and 2
B) 2 and 3
C) 3 and 4
D) 4 and 5
Standard: 8.NS.A.2
Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers
Description: Use rational approximations of irrational numbers to compare the size of irrational numbers,
locate them approximately on a number line diagram, and estimate the value of expressions (e.g., ?^2). For
example, by truncating the decimal expansion of ?2 (square root of 2), show that ?2 is between 1 and 2, then
between 1.4 and 1.5, and explain how to continue on to get better approximations.
© Lumos Information Services 2016
http://www.lumoslearning.com/
Page 5 of 5