Question 8 of 48intermediate💡 UnderstandShort Answer2 marks

Dhara: The number of plants is 6 + 6 + 6 + 6 + 6 + 6 = … 8 times 6 = … = 8×68 \times 6 = … Gopal: No, it is 8 + 8 + 8 + 8 + 8 + 8 = 6×86 \times 8. Who do you think is correct?

Correct Answer

Dhara's method: 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 48 (8 groups of 6) 8×68 \times 6 = 48

Gopal's method: 8 + 8 + 8 + 8 + 8 + 8 = 48 (6 groups of 8) 6×86 \times 8 = 48

Answer: Both Dhara and Gopal are correct. Both expressions equal 48.

Exercise: Plants in the Garden | Q: 1 | (Page Page 12)
For More Understanding

Explanation

The chapter demonstrates that multiplication is commutative. Whether we count 8 rows of 6 plants each (8×68 \times 6 = 48) or 6 columns of 8 plants each (6×86 \times 8 = 48), the total number of plants remains the same at 48.

Solution Steps

  1. Dhara's method: 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 48 (8 groups of 6)

  2. Gopal's method: 8 + 8 + 8 + 8 + 8 + 8 = 48 (6 groups of 8)

  3. Both give the same answer: 8×68 \times 6 = 48 and 6×86 \times 8 = 48