Question 1 - Figure it out - Page 83 - Chapter 4 Class 7 - Another Peek beyond the Point (Ganita Prakash II)

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Question 1 (a) Find the quotient by converting the denominator into 1, 10, 100 or 1000 and verify the solution by the long division method (division by place value). (a) 18/5Converting denominator Since 5 × 2 = 10, we multiply and divide by 2 Thus, 18/5=𝟏𝟖/𝟓 ×𝟐/𝟐 =(18 × 2)/(5 × 2) =(18 × 2)/10 =𝟏𝟖 × 𝟐 × 𝟏/𝟏𝟎 =36 × 1/10 =𝟑.𝟔 By long division We need to do 18/5 Thus, 𝟏𝟖/𝟓=𝟑.𝟔 Question 1 (b) Find the quotient by converting the denominator into 1, 10, 100 or 1000 and verify the solution by the long division method (division by place value). (b) 415/4Converting denominator Since 4 × 25 = 100, we multiply and divide by 25 Thus, 415/4=𝟒𝟏𝟓/𝟒×𝟐𝟓/𝟐𝟓 =(415 × 25)/(4 × 25) =(415 × 25)/100 =𝟒𝟏𝟓 × 𝟐𝟓 × 𝟏/𝟏𝟎𝟎 =10375 × 1/100 =𝟏𝟎𝟑.𝟕𝟓 By long division We need to do 415/4 Thus, 𝟒𝟏𝟓/𝟒=𝟏𝟎𝟑.𝟕𝟓 Question 1 (c) Find the quotient by converting the denominator into 1, 10, 100 or 1000 and verify the solution by the long division method (division by place value). (c) 1217/2Converting denominator Since 2 × 5 = 10, we multiply and divide by 5 Thus, 1217/2=1217/2×𝟓/𝟓 =(1217 × 5)/(2 × 5) =(1217 × 5)/10 =𝟏𝟐𝟏𝟕 × 𝟓 × 𝟏/𝟏𝟎 =6085 × 1/10 =𝟔𝟎𝟖.𝟓 By long division We need to do 1217/2 Thus, 𝟏𝟐𝟏𝟕/𝟐=𝟔𝟎𝟖.𝟓 Question 1 (d) Find the quotient by converting the denominator into 1, 10, 100 or 1000 and verify the solution by the long division method (division by place value). (d) 4827/8Converting denominator Since 8 × 125 = 1000, we multiply and divide by 125 Thus, 4827/8=4827/8×𝟏𝟐𝟓/𝟏𝟐𝟓 =(4827 × 125)/(8 × 125) =(4827 × 125)/1000 =𝟒𝟖𝟐𝟕 × 𝟏𝟐𝟓 × 𝟏/𝟏𝟎𝟎𝟎 =603375 × 1/1000 =𝟔𝟎𝟑.𝟑𝟕𝟓 By long division We need to do 4827/8 Thus, 4827/8=𝟔𝟎𝟑.𝟑𝟕𝟓