Terminating Decimals

Q.

Which among the following is a terminating decimal :

1. $\frac{5}{3}$

2. $\frac{2}{18}$

3. $\frac{11}{5}$

4. $\frac{14}{6}$

Q.

Which fraction has a terminating decimal as its decimal expansion?

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

2. $\frac{1}{5}$

3. $\frac{1}{7}$

4. $\frac{1}{9}$

Q.

Which of the following numbers lie
$\text{between}\frac{3}{4}\text{and}\frac{7}{4}?$

1. 3.0

2. 5.0

3. 1.25

4. 2.5

Q.

Write the following rational number in decimal form and say what kind of decimal expansion it has:
(III) $\frac{31}{32}$

Q.

Convert the decimal number into a fraction(in irreducible form): $3.025$

Q. Which of the following is a non-terminating and repeating decimal?

Q.

31.764 $÷$ 4 is a :

1. Terminating decimal

2. None of these

3. Recurring decimal

4. Non - terminating decimal

Q.

Convert the decimal number into a fraction(in irreducible form): $0.225$

Q. What is the result when we convert 0.625 into a fraction in its simplest form?

1. $\frac{3}{5}$
2. $\frac{8}{5}$
3. $\frac{5}{8}$
4. $\frac{3}{8}$

Q.

61.74 $÷$ 14 is a terminating decimal.

1. True

2. False

Q. Check if 61.74 $÷$ 14 is a terminating decimal.

Q. If 160 oz of tomatoes are required for 15 servings of soup, find is the amount of tomatoes required for 1 serving.

1. 9.6 oz
2. $9.\overline{6}$ oz
3. 10.6 oz
4. $10.\overline{6}$ oz

Q.

Express each of the following as terminating or non-terminating decimals: $\frac{196}{8}$

Q.

(a)A fraction $\frac{a}{b}$ can be interpreted as $a÷b$. Use a calculator to convert each unit fraction to a decimal. Do some of the decimals look different than the others? Explain.

$$\begin{gathered} \frac{1}{2}\frac{1}{3}\frac{1}{4}\frac{1}{5}\frac{1}{6}\frac{1}{7} \\ \frac{1}{8}\frac{1}{9}\frac{1}{10}\frac{1}{11}\frac{1}{12} \end{gathered}$$

(b) Compare & contrast the fractions in part (a) with the fractions you wrote in Exploration 1. What conclusions can you make?

(c) Does every fraction have a decimal form that either terminates or repeats? Explain your reasoning

Q.

Convert the decimal number into a fraction(in irreducible form): $1.12$

Q.

Express each of the following as terminating or non-terminating decimals: $\frac{7}{5}$

Q.

Write the following rational number in decimal form and say what kind of decimal expansion has:
$\frac{7}{15}$

Q.

How do you change $0.2$ into a fraction?

Q.

Which of the following numbers lie
$\text{between}\frac{3}{4}\text{and}\frac{7}{4}?$

1. 5.0

2. 3.0

3. 2.5

4. 1.25