Number System: Practice 2 | Homework Practice

Section A: Core Practice

Question 1mcq

On a number line,

0.68

should be placed:

A.Exactly at

0.6

B.Between

0.5

and

0.6

C.Between

0.6

and

0.7

, closer to

0.7

.

D.Between

0.7

and

0.8

Question 2mcq

What does the density of rational numbers mean?

A.Rational numbers are only whole numbers.

B.There are no rational numbers between two integers.

C.Between any two rational numbers, another rational number can be found.

D.Two rational numbers must always be consecutive.

Question 3mcq

Which number lies between

\frac{1}{3}

and

\frac{2}{3}

?

A.

\frac{5}{6}

B.

\frac{4}{3}

C.

\frac{1}{6}

D.

\frac{1}{2}

Question 4mcq

Which list contains only rational numbers between

0

and

1

?

A.

1,2,3

B.

-\frac{1}{4}, \frac{1}{2}, \frac{3}{4}

C.

\frac{1}{4}, \frac{1}{2}, \frac{3}{4}

D.

\sqrt{2}, \sqrt{3}, \sqrt{5}

Question 5mcq

Convert

\frac{7}{8}

to decimal form.

A.

8.75

B.

0.0875

C.

0.78

D.

0.875

Section B: Application Practice

Question 6mcq

What is the decimal form of

\frac{1}{3}

?

A.

0.\overline{3}

B.

0.13

C.

0.3

exactly

D.

3.0

Question 7mcq

Which fraction has a terminating decimal expansion?

A.

\frac{5}{6}

B.

\frac{1}{7}

C.

\frac{2}{3}

D.

\frac{7}{20}

Question 8mcq

On a number line,

0.68

should be placed:

A.Between

0.5

and

0.6

B.Exactly at

0.6

C.Between

0.6

and

0.7

, closer to

0.7

.

D.Between

0.7

and

0.8

Question 9mcq

What does the density of rational numbers mean?

A.Two rational numbers must always be consecutive.

B.Between any two rational numbers, another rational number can be found.

C.There are no rational numbers between two integers.

D.Rational numbers are only whole numbers.

Question 10mcq

Which number lies between

\frac{1}{3}

and

\frac{2}{3}

?

A.

\frac{4}{3}

B.

\frac{1}{6}

C.

\frac{1}{2}

D.

\frac{5}{6}