**Dividing decimals :**

Jasmine was preparing a design to decorate her classroom. She needed a few colored strips of paper of length 1.8 cm each. She had a strip of colored paper of length 7.2 cm.

How many pieces of the required length will she get out of this strip ?

She thought it would be 7.2/1.8

Is she correct ?

Both 7.2 and 1.8 are decimal numbers. So we need to know the division of decimal numbers .

For example,

141.5 ÷ 10 = 14.15

141.5 ÷ 100 = 1.415

141.25 ÷ 1000 = 0.1415

To get the quotient we shift the point in the decimal number to the left by as many places as there are zeros over 1.

**Method 1 :**

Find 4.2 ÷ 3

**Solution : **

4.2 ÷ 3 = 42/10 ÷ 3

4.2 ÷ 3 = 42/10 x 1/3

4.2 ÷ 3 = 14/10

4.2 ÷ 3 = 1.4

**Method 2 :**

Find 18.5 ÷ 5

**Solution : **

First, let us find 185 ÷ 5. We get 37

There is one digit to the right of the decimal point in 18.5.

Place the decimal point in 37 such that there would be one digit to its right. We will get 3.7

**Example 1 :**

Find 17.6 ÷ 0.4

**Solution : **

17.6 ÷ 0.4 = 176/10 ÷ 4/10

17.6 ÷ 0.4 = 176/10 x 10/4

17.6 ÷ 0.4 = 44

**Example 2 :**

Find 1.2 ÷ 0.2

**Solution : **

1.2 ÷ 0.2 = 12/10 ÷ 2/10

1.2 ÷ 0.2 = 12/10 x 10/2

1.2 ÷ 0..2 = 6

**Example 3 :**

Find 1.8 ÷ 0.03

**Solution : **

1.8 ÷ 0.03 = 18/10 ÷ 3/100

1.8 ÷ 0.03 = 18/10 x 100/3

1.8 ÷ 0.03 = 6 x 10

1.8 ÷ 0.03 = 60

**Example 4 :**

A car covers a distance of 129.92 miles in 3.2 hours. What is the distance covered by it in 1 hour ?

**Solution : **

Distance covered by the car = 129.92 miles

Time required to cover this distance = 3.2 hours

So, distance covered by it in 1 hour = 129.92/3.2

= 12992/320

= 40.6 miles

After having gone through the stuff given above, we hope that the students would have understood "Division of decimals".

Apart from the stuff given above, if you want to know more about "Division of decimals", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**