Decimal Expansion of Irrational Numbers

Q.

Is $\mathrm{\pi }$ a rational, irrational number, natural, whole or integer?

Q.

The sum of the difference between a rational number and an irrational number is always an irrational number.

1. True
2. False

Q.

Which of the following fractions can be expressed as non-terminating decimals?

1. $\frac{3}{8}$

2. $\frac{7}{25}$

3. $\frac{4}{28}$

4. $\frac{21}{256}$

Q. Choose the correct statement about decimal expansion of irrational number.

1. decimal expansion of irrational number is non terminating but repeating.
2. decimal expansion of irrational number is non terminating non repeating.
3. decimal expansion of irrational number is terminating.

Q. Which of the following has non-terminating non-repeating decimal expansion?

1. $\sqrt{7}$
2. $25÷5\times 3+7-9÷3$
3. $\frac{15}{7}$
4. $\mathrm{2.1340067...}$

Q. Convert $3\frac{1}{7}$ into decimal form and state which type of decimal expansion is this?

1. non-terminating and repeating
2. terminating
3. non terminating non repeating

Q. The number $\pi$ (pi) has which type of decimal expansion?

1. Non terminating non repeating
2. Terminating
3. Non terminating repeating
4. None of the above

Q.

Order the numbers from least to greatest.

$\frac{7}{10},0.69,71\%,\frac{9}{10},0.84$

Q. Which of the following numbers below are not the decimal expansion of irrational number?

1. $7.23$
2. $\mathrm{2.01001000100001......}$
3. $0.324$
4. $10.069$

Q.

Write each decimal as a fraction or mixed number:

$0.7,1.29,12.831,0.0041$

What do the factors of denominators of the fractions you wrote have in common? Is this always true for decimal fractions?

Q. Any number betwen two rational numbers on a number line is

1. 
   non-terminating but repeating
2. 
   non-terminating and non-repeating
3. 
   terminating
4. 
   none of the above