PRACTICE 9A-9B: Determining & Estimating Irrationals

PRACTICE 9A-9B: Determining & Estimating Irrationals

8th Grade

15 Qs

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PRACTICE 9A-9B: Determining & Estimating Irrationals

PRACTICE 9A-9B: Determining & Estimating Irrationals

Assessment

Quiz

Mathematics

8th Grade

Medium

Created by

Toni Allen

Used 20+ times

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15 questions

Show all answers

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=212=\frac{2}{1}
0.25 = 140.25\ =\ \frac{1}{4}
2.5=522.5=\frac{5}{2}

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which number is RATIONAL?

14\frac{1}{4}

π\pi

3\sqrt{3}

Answer explanation

Rational numbers can be written as a fraction (ratio of two integers).

14\frac{1}{4} 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:

2=1.414213562...\sqrt{2}=1.414213562...

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

Media Image

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

Media Image

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

Media Image

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

Media Image

8 is between perfect squares 4 and 9.
4<8<94<8<9
This means the square root of 8 is between the square roots of those numbers.
4<8<9\sqrt{4}<\sqrt{8}<\sqrt{9}
2<8<32<\sqrt{8}<3
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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