DIVIDING DECIMALS BY WHOLE NUMBERS ANS DECIMALS

To divide decimal by whole number, we have to remove the decimal by multiplying and dividing the decimal by 10n. Here n represents number of digits after the decimal.

For example, 

to convert 3.5 as fraction, we consider the number of digits after the decimal. We multiply and divide 3.5 by 10.

3.5 = 35/10

Evaluate:

Problem 1 :

0.36 ÷ 4

Solution:

0.36÷4=0.36×100100÷40.36÷4=36100÷40.36÷4=36100×14=9100=0.09

Problem 2 :

3 ÷ 5

Solution: 

3÷5=3×15=35=0.6

Problem 3 :

13.2 ÷ 1.1

Solution:

13.2÷1.1=13210÷1110
Change division to multiplication and take reciprocal of the fraction 1110.
=13210×1011=12

Problem 4 :

0.08 ÷ 4

Solution:

0.08÷4=0.08×100100÷40.08÷4=8100÷40.08÷4=8100×14=2100=0.02

Problem 5 :

0.08 ÷ 0.4

Solution:

0.08÷0.4=8100÷410
Change division to multiplication and take reciprocal of the fraction 410.
=8100×104=210=0.2

Problem 6 :

0.08 ÷ 0.004

Solution:

0.08÷0.004=8100÷41000
Change division to multiplication and take reciprocal of the fraction 41000.
=8100×10004=20

Problem 7 :

1.2 ÷ 5

Solution:

1.2÷5=1.2×1010÷51.2÷5=1210÷51.2÷5=1210×15=1250=0.24

Problem 8 : 

1.2 ÷ 500

Solution:

1.2÷500=1.2×1010÷5001.2÷500=1210÷5001.2÷500=1210×1500=125000=0.0024

Problem 9 :

1.2 ÷ 0.05

Solution:

1.2÷0.05=1210÷5100
Change division to multiplication and take reciprocal of the fraction 5100.
=1210×1005=24

Problem 10 :

0.12 ÷ 5000

Solution:

0.12÷5000=0.12×100100÷50000.12÷5000=12100÷50000.12÷5000=12100×15000=12500000=0.000024

Problem 11 :

0.12 ÷ 50

Solution:

0.12÷50=0.12×100100÷500.12÷50=12100÷500.12÷50=12100×150=125000=0.0024

Problem 12 :

0.12 ÷ 0.5

Solution:

0.12÷0.5=12100÷510
Change division to multiplication and take reciprocal of the fraction 510.
=12100×105=0.24

Problem 13 :

0.012 ÷ 0.0005

Solution:

0.012÷0.0005=121000÷510000
Change division to multiplication and take reciprocal of the fraction 510000.
=121000×100005=24

Problem 14 :

19 ÷ 4

Solution:

19÷4=19×14=194=4.75

Problem 15 :

3 ÷ 8

Solution:

3÷8=3×18=38=0.375

Problem 16 :

3.5 ÷ 25 

Solution:

3.5÷25=3.5×1010÷253.5÷25=3510÷253.5÷25=3510×125=0.14

Problem 17 :

0.035 ÷ 2.5

Solution:

0.035÷2.5=351000÷2510
Change division to multiplication and take reciprocal of the fraction 2510.
=351000×1025=0.014

Problem 18 :

0.049 ÷ 0.07

Solution:

0.049÷0.07=491000÷7100
Change division to multiplication and take reciprocal of the fraction 7100.
=491000×1007=0.7

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