Samacheer Kalvi Class 5 Maths Solutions Term 3 Chapter 4 Algebra Exercise 4.1

Question 1. Using brackets, write three pairs of numbers whose sum is 12. Use them to write three equalities.
Answer: First, here are three pairs of numbers that add up to 12:
(i) \( (7 + 5) \)
(ii) \( (8 + 4) \)
(iii) \( (6 + 6) \)
Next, we can write equalities using these pairs. An equality means that two mathematical expressions have the same value. So, these equalities show different ways to get the sum of 12:
(i) \( 7 + 5 = 8 + 4 \)
(ii) \( 7 + 5 = 6 + 6 \)
(iii) \( 8 + 4 = 6 + 6 \)
In simple words: We find pairs of numbers that add up to 12, like 7 and 5, or 8 and 4. Then, we can show that these different pairs are equal to each other, since they all add up to 12.

🎯 Exam Tip: When asked to write equalities, ensure both sides of the '=' sign have the same value. You can test this by calculating each side separately.

Question 2. Find four pairs of numbers, one for each of addition, subtractions multiplication and division that make the number 16. Write the equalities for each of them.
Answer: Here are four pairs of numbers that result in 16, with one example for each basic operation. We also write equalities showing other ways to make 16 for each operation.
(i) For addition: The pair is \( (12 + 4) \). This makes 16. An equality for addition is: \( 12 + 4 = 8 + 6 \).
(ii) For subtraction: The pair is \( (20 - 4) \). This makes 16. An equality for subtraction is: \( 20 - 4 = 18 - 2 \).
(iii) For multiplication: The pair is \( (8 \times 2) \). This makes 16. An equality for multiplication is: \( 8 \times 2 = 4 \times 4 \).
(iv) For division: The pair is \( (32 \div 2) \). This makes 16. An equality for division is: \( 32 \div 2 = 48 \div 3 \).
In simple words: We pick numbers that add, subtract, multiply, or divide to make 16. For example, 12 plus 4 is 16. We also show that different calculations can both result in 16, like 12 plus 4 equals 8 plus 6.

🎯 Exam Tip: Make sure you show an example for each of the four operations: addition, subtraction, multiplication, and division, and that all equalities correctly balance to the target number.