Lesson 6, Topic 4
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# Writing Small Numbers

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Small numbers are numbers less than zero and are called decimal fractions.

e.g  0.000 065,  0.004 etc.

To write small numbers, group them in three from the decimal point to the right.

e.g. 0.000000125  can be written as  0.000 000 125

### Example 1

Write these as decimal fractions and group the digits in three where necessary.

a. 10 millionth
b. 25 hundredth
c. 68 x 10-7
d. $$\frac{150}{1000000}$$

Solution

a. 10 millionth = $$\frac{10}{1,000,000}\\ = \scriptsize 0.00001$$

b. 25 hundredth = $$\frac{25}{100} \\= \scriptsize 0.25$$

c. 68 x 10-7 = $$\frac{68}{10,000,000} \\= \scriptsize 0.0000068$$

d. $$\frac{150}{1,000,000} \\ = \scriptsize 0.00015$$

Evaluation Questions:

1.    Express  the following  as powers of  10

a.    10 x 10
b.    one thousand
c.    one thousandth
d.    ten thousandth
e.    ten thousand

2.    Change the following powers of 10 to figures:

a.    10-5
b.    10-2
c.    103
d.    105
e.    107

3. Find the value of the following

a.    2.3 x 102

b.    5.346 x 103

c.    78 x 10-3

d.    80 x 0.08 x10-5

e.    0.0001 x 105

4.    Group the following numbers in three and write them in words.

a.    12057094

b.    21633462

5    Write the following in figures

a.    Sixty eight million one hundred thousand and one

b.    Three billion, one hundred and two million three hundred thousand, and sixty seven

6. Write the following  decimal fraction and group the digits in three

a.    13 thousandth

b.    2 hundredth

c.    3 thousandth

d.    $$\frac{3}{10000}$$

e.    38 x 10-4

f.    $$\frac{225}{100000}$$

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