Fill in the following appropriately: Class 7

Fill in the following appropriately: Class 7

Question 1.

Fill in the following appropriately: Class 7

1 kg = 1000 g

1 g = 1000 mg

1 cm = 10 mm

1 m = 100 cm

1 km = 1000 m

1 l = 1000 ml

5.5 km = _________ m

35 cm = ________ m

14.5 cm = _______ mm

68 g = ________ kg

9.02 m = ________ mm

125.5 ml = _______ l

Solution:

5.5 km = 5500 m

35 cm = 0.35 m

14.5 cm = 145 mm

68 g = .068 kg

9.02 m = 9020 mm

125.5 ml = 0.1255 1

Question 2.

The following problem was set by Sridharacharya in his book, Patiganita. “6[latex]\frac {1}{4}[/latex] is divided by 2[latex]\frac {1}{2}[/latex], and 60[latex]\frac {1}{4}[/latex] is divided by 3[latex]\frac {1}{2}[/latex]. Tell the quotients separately.” Can you try to solve it by converting the fractions into decimals? Class 7

Solution:

6[latex]\frac {1}{4}[/latex] ÷ 2[latex]\frac {1}{2}[/latex] = [latex]\frac {25}{4}[/latex] ÷ [latex]\frac {5}{2}[/latex] = [latex]\frac {25}{4}[/latex] × [latex]\frac {2}{5}[/latex] = [latex]\frac {5}{2}[/latex]

60[latex]\frac {1}{4}[/latex] ÷ 3[latex]\frac {1}{2}[/latex] = [latex]\frac {241}{4}[/latex] × [latex]\frac {2}{7}[/latex] = [latex]\frac {33}{2}[/latex]

6[latex]\frac {1}{4}[/latex] ÷ 2[latex]\frac {1}{2}[/latex] = [latex]\frac {25}{4}[/latex] × [latex]\frac {2}{5}[/latex] = [latex]\frac {5}{2}[/latex] = 6.25 ÷ 2.5

= [latex]\frac {6.25}{2.5}[/latex] = [latex]\frac {625}{25}[/latex] = [latex]\frac {5}{2}[/latex]

60[latex]\frac {1}{4}[/latex] ÷ 3[latex]\frac {1}{2}[/latex] = [latex]\frac {241}{4}[/latex] ÷ [latex]\frac {7}{2}[/latex]

= [latex]\frac {241}{4}[/latex] × [latex]\frac {2}{7}[/latex] = [latex]\frac {32}{2}[/latex] = 16.5