
PRACTICE 9A-9B: Determining & Estimating Irrationals
Authored by Toni Allen
Mathematics
8th Grade
Used 20+ times

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is a rational number ?
A rational number is a number that cannot be written as a fraction.
A rational number is a number that can be written as a ratio.
A rational number cannot be a repeating decimal.
Answer explanation
A rational number is a number that can be written as a ratio.
Examples:
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which number is RATIONAL?
Answer explanation
Rational numbers can be written as a fraction (ratio of two integers).
is exactly that: a ratio of two integers.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
_____________ number is a number that cannot be written as a ratio of two integers.
An integer
A rational
An irrational
A repeating
Answer explanation
A rational number cannot be written as a fraction (ratio of two integers). This is because it is non-terminating and non-repeating.
Example:
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Fill in the blank: _________________ includes integers, fractions, terminating and repeating decimals.
Rational Numbers
Irrational Numbers
Answer explanation
Rational numbers (left side of image) include integers, fractions, terminating and repeating decimals.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What type of number is a non-repeating, non-terminating decimal?
irrational
prime
rational
imaginary
Answer explanation
Irrational numbers cannot be written as a fraction and have a decimal form that never ends, without a repeating pattern.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
An irrational number doesn't have a repeating pattern.
TRUE
FALSE
Answer explanation
Irrational numbers cannot be written as a fraction and have a decimal form that never ends, without a repeating pattern.
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)
P
Q
R
S
Answer explanation
8 is between perfect squares 4 and 9.
This means the square root of 8 is between the square roots of those numbers.
Since 8 is closer to perfect square 9 than it is to perfect square 4, the square root of 8 will also be closer to the square root of 9 (Q in the number line above).
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