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T1.W1.D4..Study Guide NS1 NS2

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Which improper fraction is equivalent to 1.8 (with 8 repeating)?

a)

17/9

b)

17/11

c)

19/9

d)

19/11

2.

Correctly click whether the number 62\sqrt{62} is rational or irrational.

a)

Rational

b)

Irrational

3.

Correctly click whether the number 81\sqrt{81} is rational or irrational.

a)

Rational

b)

Irrational

4.

Correctly click whether the number 54\frac{5}{4} is rational or irrational.

a)

Rational

b)

Irrational

5.

Correctly click whether the number 3π is rational or irrational.

a)

Rational

b)

Irrational

6.

Correctly click whether the number 0.75 is rational or irrational.

a)

Rational

b)

Irrational

7.

Correctly click whether the number 1.93overline{3} is rational or irrational.

a)

Rational

b)

Irrational

8.

Consider the number line with points M, N, P, and Q: Which value best represents point P?

a)

√3

b)

√8

c)

√17

d)

√26

9.

Which numbers are irrational? Select ALL that apply.

a)

7/9

b)

c)

0.82 (repeating)

d)

√2

e)

√40

10.

Which statement about 5/6 is true?

a)

The decimal equivalent of 5/6 is 0.83̅, and 5/6 is rational.

b)

The decimal equivalent of 5/6 is 0.83̅, and 5/6 is irrational.

c)

The decimal equivalent of 5/6 is 0.83, and 5/6 is rational.

d)

The decimal equivalent of 5/6 is 0.83, and 5/6 is irrational.

11.

Consider the set of numbers. -13, -12/15, √41

a)

Every number in the set has a decimal expansion because all rational and irrational numbers have decimal expansions.

b)

None of the numbers in the set have decimal expansions because none of the numbers are decimals.

c)

The fraction -12/15 is the only number in the set to have a decimal expansion because only fractions have decimal expansions.

d)

The positive number √41 is the only number in the set to have a decimal expansion because only positive numbers have decimal expansions.

12.

Which two values are irrational?

a)

1.234

b)

(3/4)π

c)

√17

d)

√64

e)

32.57

13.

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

a)

(39/8), 4.84, √24

b)

(39/8), √24, 4.84

c)

√24, (39/8), 4.84

d)

4.84, (39/8), √24

14.

Which point on the number line is closest to the value of √3?

a)

point m

b)

point n

c)

point p

d)

point q

15.

Which choice best describes how to plot an approximation for √14 on a number line?

a)

Determine two numbers with squares that are directly below and above 14, resulting in 3 and 4. Place a point between 3 and 4 on the number line.

b)

Divide 14 by 2, resulting in 7, and then square the result. Place a point representing 7² on the number line.

c)

Square 14, resulting in 196, and then divide the result by 2. Place a point on the number line in the position closest to the resulting divided, 98.

d)

Multiply 14 by 2 to get 28. Find two numbers with squares that are above and below 28 on the number line, resulting in 5 and 6. Place a point between 5 and 6 on the number.