Question 4 - Figure it out - Page 12, 13, 14 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

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Question 4 Pairs of quantities are shown below. Identify and write appropriate symbols ‘>’, ‘<’, ‘=’ in the boxes. Visualising or estimating can help. Compute only if necessary or for verification. (i) 50% of 510 50% of 515Since the percentage is the same, we compare the values Now, 510 < 515 So, we can write 50% of 510 < 50% of 515 Question 4 Pairs of quantities are shown below. Identify and write appropriate symbols ‘>’, ‘<’, ‘=’ in the boxes. Visualising or estimating can help. Compute only if necessary or for verification. (ii) 37% of 148 73% of 148Since the value is the same, we compare the percentages Now, 37% < 73% So, we can write 37% of 148 < 73% of 148 Question 4 Pairs of quantities are shown below. Identify and write appropriate symbols ‘>’, ‘<’, ‘=’ in the boxes. Visualising or estimating can help. Compute only if necessary or for verification. (iii) 29% of 43 92% of 110Now, here 29% of a small number (43) is very small. 92% of a big number (110) is huge (almost 100). Thus, we can write 29% of 43 < 92% of 110 Question 4 Pairs of quantities are shown below. Identify and write appropriate symbols ‘>’, ‘<’, ‘=’ in the boxes. Visualising or estimating can help. Compute only if necessary or for verification. (iv) 30% of 40 40% of 50We can directly calculate 30% of 40 = 30/100 × 40 = 3 × 4 = 12 40% of 50 = 40/100 × 50 = 4 × 5 = 20 Thus, we can write 30% of 40 < 40% of 50 Question 4 Pairs of quantities are shown below. Identify and write appropriate symbols ‘>’, ‘<’, ‘=’ in the boxes. Visualising or estimating can help. Compute only if necessary or for verification. (v) 45% of 200 10% of 490We can directly calculate 45% of 200 = 45/100 × 200 = 45 × 2 = 90 10% of 490 = 10/100 × 490 = 49 Thus, we can write 45% of 200 > 10% of 490 Question 4 Pairs of quantities are shown below. Identify and write appropriate symbols ‘>’, ‘<’, ‘=’ in the boxes. Visualising or estimating can help. Compute only if necessary or for verification. (vi) 30% of 80 24% of 64We can directly calculate 30% of 80 = 30/100 × 80 = 3 × 8 = 24 24% of 64 = 24/100 × 64 = 1536/100 = 15.36 (we can also do 3 × 7 = 21 and see it is less than 24) Thus, we can write 30% of 80 > 24% of 64