Question 2 - Figure it out - Page 12, 13, 14 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

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Question 2 Find the value of the following and also draw their bar models. (i) 25% of 160Now, 25% of 160 = 25% × 160 = 𝟐𝟓/𝟏𝟎𝟎 × 160 = 1/4 × 160 = 40 Bar model looks like Question 2 Find the value of the following and also draw their bar models. (ii) 16% of 250Now, 16% of 250 = 16% × 250 = 𝟏𝟔/𝟏𝟎𝟎 × 250 = 16/2 × 5 = 40 Bar model looks like To draw 16% of 250 perfectly, we need to think like a math detective! "The Math:" 16%=16/100. If we simplify that fraction (divide top and bottom by 4 ), we get 𝟒/𝟐𝟓. This means we need a bar divided into 25 segments. We will shade/select 𝟒 of those segments to represent 16%. Thus, our bar model looks like Question 2 Find the value of the following and also draw their bar models. (iii) 62% of 360Now, 62% of 360 = 62% × 360 = 62/100 × 360 = 62/10 × 36 = 223.2 Bar model looks like Here is how to set up the tool for 62% of 360: The Math Logic 62% is the same as the fraction 62/100. If we simplify 62/100 by dividing both sides by 2 , we get 31/50. This means we need a bar cut into 𝟓𝟎 pieces. 1 Segment =2% (because 100÷50=2) 31 Segments =62% (because 31 × 2=62) Question 2 Find the value of the following and also draw their bar models. (iv) 140% of 40Now, 140% of 40 = 140% × 40 = 140/100 × 40 = 14 × 4 = 56 Bar model looks like Question 2 Find the value of the following and also draw their bar models. (v) 1% of 1 hourNow, 1% of 1 hour = 1% × 1 hour = 1/100 × 1 hour = 0.01 hour Bar model looks like Here is how to set up the tool for 62% of 360: The Math Logic 1% is the same as the fraction 1/100. This means we need a bar cut into 𝟏𝟎𝟎 pieces. 1 Segment =1% Question 2 Find the value of the following and also draw their bar models. (vi) 7% of 10 kgNow, 7% of 10 kg = 10% × 10 = 10/100 × 10 = 1 kg Bar model looks like The Math Logic 7% means 7 per 100(7/100). Since 7 is a prime number, we can't simplify this fraction like we did with 20% or 25%. To model this perfectly, we need a bar divided into 𝟏𝟎𝟎 tiny segments!