Properties of Rational Numbers

Q. What are the uses of rational numbers in our daily life?

Q.

Name the property under multiplication used in the following:$\frac{-4}{5}\times 1=1\times \frac{-4}{5}=\frac{-4}{5}$

Q. The product of two rational numbers is always a ___.

1. natural number
2. rational number
3. integer
4. whole number

Q. By what number should $\frac{-22}{7}$ be divided to get $\frac{-11}{14}$?

1. $4$
2. $\frac{1}{2}$
3. $2$
4. $-4$

Q.

Which of the following is the greatest rational number?

1. 

2. 

3. 

4. 

Q.

Which of the following is the smallest rational number?

1. 

2. 

3. 

4. 

Q.

Which of the following represents associative property?

1. -3 + 4 = 4 +(-3)

2. 2×(3+4) = (2×3)+(2×4)

3. 6 - 8 = (-8) + 6

4. 3 + ((-4)+5) = (3 +(-4)) + 5

Q.

What are rational numbers

Q.

The numerator and the denominator of a fraction are only whole numbers? In other words, aren't they supposed to be integer of decimals like rational numbers?

Q.

Mention all Properties of integers.

Q.

Compare the fractions given below $\frac{3}{8}$and $\frac{5}{6}$.

Q. Using commutative and associative properties, solve 5 × 7 × 2 × 2 × 8 × 5.

1. 4500
2. 1500
3. 7200
4. 5600

Q. If $(\frac{a}{b}+\frac{c}{d})+\frac{e}{f}=\frac{a}{b}+(\frac{c}{d}+\frac{e}{f})$, then this expression represents which property.

1. Closure property
2. Additive identity
3. Commutative property
4. Associative property

Q.

Find $\frac{1}{4}$ of $\frac{4}{3}$

Q.

A rational number 𝑎/𝑏 is greater than 𝑐/𝑑 if (for all positive 𝑎, 𝑏, 𝑐, 𝑑)

Q.

Definition of commutative property

Q.

Express the following as improper fraction:

$10\frac{3}{5}$

Q. By what number should $\frac{-33}{8}$ be divided to get $\frac{-11}{2}$?

1. $\frac{4}{3}$
2. $\frac{-3}{4}$
3. $\frac{3}{4}$
4. $\frac{-4}{3}$

Q. $\frac{-33}{8}\text{should be divided by}$$\text{to get}\frac{-11}{2}?$

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

Q.

A rational number 𝑎𝑏 is greater than 𝑐𝑑 if (for all positive 𝑎, 𝑏, 𝑐, 𝑑)

Q.

Point A represents which of the following rational numbers?

1. 

2. 

3. 

4. 

Q.

State whether the following statements are true or false. Justify if false.

The associative property states that the addition of a zero to a whole number gives the same number.

1. True
2. False

Q.

Division of whole numbers follows the commutative law.

1. True

2. False

Q.

Write the following number as improper fraction

$4\frac{3}{7}$

Q.

Question 65

State whether the given statement is True or False.

Zero is the smallest rational number.

Q.

Question 64

State whether the given statement is True or False.

Every rational number is a whole number.

Q.

$\frac{1}{2}$ divided by $\frac{5}{3}$ gives us a rational number. That means rational numbers are closed under division. Say true or false.

1. False

2. True

Q. Under which of the following operations, are the rational numbers not closed?

1. Addition
2. Division
3. Subtraction
4. Multiplication

Q.

Every fraction is a rational number.

1. True
2. False

Q. All natural numbers are rational numbers.

1. True
2. False