Associative Property

Q.

Which of the following expressions show that rational numbers are associative under multiplication?

1. $\frac{2}{3}\times (\frac{-6}{7}\times \frac{3}{5})=(\frac{2}{3}\times \frac{-6}{7})\times \frac{3}{5}$

2. $(\frac{2}{3}+\frac{-6}{7})-\frac{3}{5}=(\frac{-6}{7}-\frac{2}{3})+\frac{3}{5}$

3. $\frac{2}{3}+(\frac{-6}{7}\times \frac{3}{5})=\frac{2}{3}+(\frac{3}{5}\times \frac{-6}{7})$
   

4. $(\frac{2}{3}-\frac{-6}{7})\times \frac{3}{5}=(\frac{3}{5}-\frac{2}{3})\times \frac{-6}{7}$

Q. write the property that is illustrated in the following: 2/5+3/10=3/10+2/5

Q.

Of unknown and unadmitted authorship: Options: (a) Gullible (b) Anonymous (c) Unanimous (d) Vexation Give reasons for your answer.

Q.

Name the property involved in the following example. 2/5+1/3=1/3+2/5

Q.

Explain how to determine whether a quotient of two rational numbers is positive or negative.

Q.

Which of the following is not a type of semantic barrier?

1. Unclarified assumptions

2. Technical jargon

3. Badly expressed message

4. Premature evaluation

Q.

Check the commutative property of multiplication for the following pairs:

Q.

Name the property involved in the following example. 7a+(-7a)=0

Q. A number is divisible by $12$. By what other numbers will that number by divisible?

Q. Find the value of $(\frac{8}{25}\times \frac{7}{3})\times \frac{15}{14}$.

1. $\frac{5}{8}$
   
2. $\frac{4}{5}$
   
3. $\frac{15}{2}$
   
4. $\frac{5}{4}$
   

Q. 1.= 2, 5, 11, 17, 23, ? 1)29 , 2)31 , 3)37 , 4)27

Q. Simplify the given expression.
$\frac{13}{3}+\frac{7}{4}-\frac{11}{3}-\frac{1}{4}$

1. $\frac{13}{8}$
2. $\frac{11}{6}$
3. $\frac{16}{6}$
4. $\frac{13}{6}$

Q. What is the rank of Andhra Pradesh in India in terms of area?

1. Third
2. Fifth
3. SIsth
4. Eighth

Q. Which of these follow the closure property of integers?

1. 2 + 5
2. 3 ÷ 7
3. 8 - 10
4. 1 × 0
5. 1 + 0
6. 9 ÷ 0
7. 99 × 100
8. 9 - 10

Q.

Which of the following statements are correct?

i) 0 + 2 is a whole number.

ii) 0 ÷ 49843 is a not a whole number.

iii) 98645 $\times$ 5678 = 5678 $\times$ 98645

1. i, ii and iii
2. i only
3. i and iii only
4. ii only

Q. qn no 1
Q.1. Tell which property allows you to compute
$\frac{1}{5}\times \left(\frac{5}{6}\times \frac{7}{9}\right)as\left(\frac{{\displaystyle 1}}{{\displaystyle 5}}\times \frac{{\displaystyle 5}}{{\displaystyle 6}}\right)\times \frac{{\displaystyle 7}}{{\displaystyle 9}}$

Q. Evaluate (-2/5) 50 times