Number System: Practice 3 | Homework Practice

Section A: Core Practice

Question 1mcq

Which fraction equals

0.\overline{6}

?

A.

\frac{2}{3}

B.

\frac{1}{6}

C.

\frac{3}{2}

D.

\frac{6}{10}

Question 2mcq

Which number is irrational?

A.

0.25

B.

\frac{7}{10}

C.

\sqrt{7}

D.

-4

Question 3mcq

Which comparison is correct?

A.

\frac{2}{3} = \frac{3}{5}

B.

\frac{2}{3}

cannot be compared with

\frac{3}{5}

C.

\frac{2}{3} < \frac{3}{5}

D.

\frac{2}{3} > \frac{3}{5}

Question 4mcq

Between which two integers does

\sqrt{20}

lie?

A.Between

5

and

6

B.Between

2

and

3

C.Exactly at

10

D.Between

4

and

5

.

Question 5mcq

In a proof by contradiction that

\sqrt{2}

is irrational, what assumption is made first?

A.Assume

2

is odd.

B.Assume

\sqrt{2}=2

exactly.

C.Assume

\sqrt{2}

is negative.

D.Assume

\sqrt{2}=\frac{p}{q}

in lowest terms.

Section B: Application Practice

Question 6mcq

If

\sqrt{3}=\frac{p}{q}

in lowest terms, which equation follows after squaring?

A.

p=3q^2

B.

3p^2=q

C.

p^2=3q^2

D.

p^2=q^2+3

Question 7mcq

In constructing the square root spiral, what length is obtained after forming a right triangle with legs

1

and

1

?

A.

\sqrt{2}

B.

\sqrt{3}

C.

2

D.

1/2

Question 8mcq

Which fraction equals

0.\overline{6}

?

A.

\frac{2}{3}

B.

\frac{6}{10}

C.

\frac{3}{2}

D.

\frac{1}{6}

Question 9mcq

Which number is irrational?

A.

\sqrt{7}

B.

-4

C.

\frac{7}{10}

D.

0.25

Question 10mcq

Which comparison is correct?

A.

\frac{2}{3} = \frac{3}{5}

B.

\frac{2}{3} < \frac{3}{5}

C.

\frac{2}{3}

cannot be compared with

\frac{3}{5}

D.

\frac{2}{3} > \frac{3}{5}