Find the quotient by converting the denominator into 1, 10, 100 or 1000. Class 7

Find the quotient by converting the denominator into 1, 10, 100 or 1000. Class 7

Question 1.

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). Class 7

(a) [latex]\frac {18}{5}[/latex]

(b) [latex]\frac {415}{4}[/latex]

(c) [latex]\frac {1217}{2}[/latex]

(d) [latex]\frac {4827}{8}[/latex]

Solution:

(a) [latex]\frac {18}{5}[/latex] = [latex]\frac{18 \times 20}{5 \times 20}[/latex] = 3.60

(b) [latex]\frac {415}{4}[/latex] = [latex]\frac{415 \times 25}{4 \times 25}[/latex] = [latex]\frac {1037}{100}[/latex] = 103.75

(c) [latex]\frac {1217}{2}[/latex]= [latex]\frac{1217 \times 5}{2 \times 5}[/latex] = [latex]\frac {6085}{10}[/latex] = 608.5

(d) [latex]\frac {4827}{8}[/latex] = [latex]\frac{4827 \times 125}{8 \times 125}[/latex] = [latex]\frac {603375}{1000}[/latex] = 603.375

Question 2.

Choose the correct answer : Class 7

(a) [latex]\frac {1526}{4}[/latex] =

(i) 38.15

(ii) 380.15

(iii) 381.5

(iv) 381.05

Solution:

(iii) 381.5

(b) [latex]\frac {3567}{8}[/latex] =

(i) 4458.75

(ii) 44.5875

(iii) 445.875

(iv) 4458.75

Solution:

(iii) 445.875