Distributive Property of Rational Numbers

Q.

After reading $\frac{4}{9}th$ of a book, 30 pages are left. How many pages are there in the book?

1. 54

2. 36

3. 24

4. 60

Q. Select the rational number for point labelled with letter C.
[ 1 mark]

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

Q.

Raju earns ₹ 34000 per month. He spends $\frac{1}{4}th$ of his income on food, $\frac{3}{10}th$ of the remainder on house rent and $\frac{5}{21}th$ of the remainder on education of children. How much money is still left with him?

1. ₹13100

2. ₹13200

3. ₹13300

4. ₹13600

Q. The value of $\frac{3}{5}\times (\frac{35}{24}+\frac{10}{1})$ is _____.

1. $6\frac{5}{8}$
2. $\frac{8}{55}$
3. $6\frac{7}{8}$
4. $5\frac{7}{8}$

Q. The property $x\times (y+z)=x\times y+x\times z$ is known as ___________.

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

Q.

(a $\times$ b) $\times$ c = a $\times$ (b $\times$ c) represents which of the following property?

1. Distributive property

2. Associative property under multiplication

3. Associative property under addition

4. None of these

Q.

A stationery shop costs Rs.4 for a pencil. Pavan wants to buy 3 pencils. How much will it cost him?​

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Q. 42(4+2) = (42 x 4) + (42 x 2) is an example of:

1. Associative property
2. Distributive property
3. Closure property
4. Commutative property

Q. a + (b + 10) = (a + b) + X, then the value of X = 10

1. True
2. False

Q. According to distributive property,
a$\times$(b + c) = a$\times$b + a$\times$c

1. True
2. False