Question 1 - Figure it out - Page 73 - Chapter 4 Class 7 - Another Peek beyond the Point (Ganita Prakash II)

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Question 1 (a) Recall that a tenth is 0.1, a hundredth is 0.01, and so on. Find the following products in tenths, hundredths and so on: (a) 6 × 4 tenths = 24 tenthsNow, 6 × 4 tenth = 6 × 4/10 = 6 × 0.4 We follow our steps Multiplying without decimals: 6 × 4 = 24 Count decimal places: 0 (in 6) + 1 (in 0.4) = 1 total places Place the decimal 1 spot from the right: 2.4 Thus, answer is 2.4 We can write it as 2.4 = 24/10 = 24 × 1/10 = 24 tenths Question 1 (b) Recall that a tenth is 0.1, a hundredth is 0.01, and so on. Find the following products in tenths, hundredths and so on: (b) 7 × 0.3Need to find 7 × 0.3 We follow our steps Multiplying without decimals: 7 × 3 = 21 Count decimal places: 0 (in 7) + 1 (in 0.3) = 1 total places Place the decimal 1 spot from the right: 2.1 Thus, answer is 2.1 We can write it as 2.1 = 21/10 = 21 × 1/10 = 21 tenths Question 1 (c) Recall that a tenth is 0.1, a hundredth is 0.01, and so on. Find the following products in tenths, hundredths and so on: (c) 9 × 5 hundredthsNow, 9 × 5 hundredths = 9 × 5/100 = 9 × 0.05 We follow our steps Multiplying without decimals: 9 × 5 = 45 Count decimal places: 0 (in 9) + 2 (in 0.05) = 2 total places Place the decimal 2 spots from the right: 0.45 Thus, answer is 0.45 We can write it as 0.45 = 45/100 = 45 × 1/100 = 45 hundredths