Question 5 - Figure it out - Page 86, 87 - Chapter 4 Class 7 - Another Peek beyond the Point (Ganita Prakash II)

Transcript

Question 5 Find the quotient: (a) 2.46 ÷ 1.5 = (b) 2.46 ÷ 0.15 = (c) 2.46 ÷ 0.015 = Is the quotient obtained in 24.6 ÷ 1.5 the same as the quotient obtained in 2.46 ÷ 0.15? Let’s first find 246 ÷ 15 and then we can all the options by moving decimal point Thus, 246 ÷ 15 = 16.4 Now, let’s find answer to the options Now, while dividing we follow these rules Calculate the "Gap": (Decimal places in Numerator) – (Decimal places in Denominator). The Move: If the Gap is Positive (+) → Move decimal to the Left. If the Gap is Negative (-) → Move decimal to the Right. Now, let’s do our question 2.46 ÷ 1.5 = Numerator (2) - Denominator (1) = 1 Move: Left 1 step (16.4 → 1.64) Answer: 1.64 (b) 2.46 ÷ 0.15 Numerator (2) - Denominator (2) = 0 Move: Left 0 steps Answer: 16.4 (c) 2.46 ÷ 0.015 = Numerator (2) - Denominator (3) = –1 Move: Since negative, move Right 1 step (16.4 → 164.0) Answer: 164.0 Now, we are asked Is the quotient obtained in 24.6 ÷ 1.5 the same as the quotient obtained in 2.46 ÷ 0.15? Now, 2.46 ÷ 0.15 = 16.4, from part (b) For 2.46 ÷ 0.15 Numerator (2) - Denominator (2) = 0 Move: Left 0 steps Answer: 16.4 Yes, both are the same - 16.4