Question $1 .$
Write the missing numbers.
Solution:
Question 2.
Write the missing operations in the trees
Solution:
Question $3 .$
Check whether the Tree diagrams are equal or not.
Solution:
$\mathrm{c} \div(\mathrm{a} \div \mathrm{b}) \neq \mathrm{a}(\mathrm{b} \div \mathrm{c})$
Challenge Problems
Question $4 .$
Convert the following questions into tree diagrans:
(i) The number of people who visited a library in the last 5 months was $1210,2100,2550,3160$ and 3310 . Draw the tree diagram of the total number of people who had used the library for the 5 months.
(ii) Ram had a bank deposit of $₹ 7,55,250$ and he had withdrawn $₹ 5,34,500$ for educational purpose. Find the amount left in his account. Draw a tree diagram for this.
(iii) In a cycle factory, 1,600 bicycles were manufactured on a day. Draw tree diagram to find the number of bicycles produced in 20 days.
(iv) A company with 30 employees decided to distribute $₹ 90,000$ as a special bonus equally among its employees. Draw tree diagram to show how much will each receive?
Solution:
(i) People who visited the library for the past 5 months $=1210+2100+2550+3160+3310=$ $12,330^{\circ}$
Total number of people visited $=12,330$
Tree Diagram
(ii) Total bank deposit of Ram $=₹ 7,55,250$
Amount withdrawn for educational purpose $=₹ 5,34,500$
Amount left in his account $=₹ 2,20,750$
Amount left in Ram's Account $=₹ 2,20,750$
Tree Diagram
(iii) Number of bicycles manufactured in a day $=1600$
Number of bicycles manufactured in 20 days $=1600 \times 20=32,000$
Number of bicycles manufactured in 20 days $=32,000$
Tree Diagram
(iv) Total amount distributed to 30 employees $=90,000$
Amount received by one employee $=\frac{90000}{30}=3000$
Each employee receive Rs. 3,000
Tree Diagram
Question $5 .$
Write the numerical expression which gives the answer 10 and also convert into a tree diagram.
Solution:
Numerical expression $15-(3+2)$
Question $6 .$
Use brackets inappropriate place to the expression $3 \times 8-5$ which gives 19 and convert it into tree diagram for it.
Solution:
Numerical expression $(3 \times 8)-5$
Tree Diagram
Question $7 .$
A football team gains 3 and 4 points for successive 2 days and loses 5 points on the third day. Find the total points scored by the team and also represent this in the tree diagram.
Solution:
Total points scored by the team $=3+4-5=2$
Tree Diagram