Closure Property of Whole Numbers

Q.

Use the distributive law of multiplication of rational numbers over addition to simplify. $\frac{3}{5}\times \left[\right(\frac{35}{24})+(\frac{10}{1}\left)\right]$

Q.

Multiply:

$\frac{8}{35}\times \frac{21}{-32}$

Q.

Find the value of the following with the help commutative Law and Associative Law.

⇒$\frac{5}{8}$+$\frac{-7}{15}$+$\frac{3}{32}$+$\frac{11}{75}$

Q. Question 97
0 is whole number but it is not a rational number

Q.

If a + b = c and a $\times$ b = c , where a and b are whole numbers, then c is also a whole number. This follows which of the properties of whole numbers?

1. Commutative

2. Associative

3. Distributive

4. Closure

Q.

If Zero is divided by $\frac{7}{2}$, the resulting number is a:

1. Rational Number

2. Whole number

3. Integer

4. Natural number

Q.

Question 1
A number which can be expressed as $\frac{p}{q}$, where p and q are integers and $q\ne 0$ is:
(a) natural number.
(b) whole number.
(c) integer.
(d) rational number

Q.

Multiply:

$\frac{3}{7}$ by $\frac{21}{81}$

Q.

Use the distributive law of multiplication of rational numbers over addition to simplify. $\frac{2}{7}\times \left[\right(\frac{7}{16})-(\frac{21}{4}\left)\right]$

Q. Verify the property x + y = y + x of rational number by taking
$x=\frac{-2}{3}$ and $y=\frac{-5}{6}$

Q.

Multiply:

$\frac{3}{8}\times \frac{-5}{7}\times \frac{7}{9}$

Q. should be multiplied to $\frac{-3}{4}$ so that the product is $\frac{-9}{16}$

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

Q. The sum of additive inverse of 5 and additive inverse of -2 is ____.

1. $-7$
2. $-3$
3. $\frac{-3}{10}$
4. $3$

Q. The order in which we add rational numbers does not affect its sum. This is known as property.

1. associative
2. commutative
3. distributive
4. closure

Q.

$\frac{2\mathrm{x}}{3}$ means

1. $2$times $\mathrm{x}$

2. $3$ times $\mathrm{x}$ divided by $2$

3. $2$times $\mathrm{x}$ divided by $3$

4. $2$times $\mathrm{x}$ multiplied by $3$

Q.

Fill in the blanks to make the statements true :

$\frac{3}{7}=\frac{\left[\right]}{42}$

Q.

Which of the following is not true?
(i) Whole numbers are closed under subtraction.
(ii) Integers are not closed under division.
(iii) Rational numbers are closed under division.

1. (i), (ii)

2. (ii), (iii)

3. (i), (ii), (iii)

4. (i), (iii)