# HOW TO EXPRESS THE GIVEN NUMBERS IN SCIENTIFIC NOTATION

The following steps will be useful to express a number in scientific notation.

Step 1 :

Adjust the decimal point such that there is only one non zero digit on the left side of the decimal point.

Step 2 :

Count the number of digits between the old and new decimal point. This gives n, the power of 10.

Step 3 :

If the decimal is shifted to the left, the exponent n is positive. If the decimal is shifted to the right, the exponent n is negative.

## Solved Examples

Example 1 :

Write the following number in scientific notation.

9345

Solution :

In the given number, we could not see the decimal point. So, we have to consider the decimal point is at last.

9345.

Now we have to shift this decimal point to the left side, three digits. So, we have to take positive power.

9.345 x 103

Example 2 :

Write the following number in scientific notation.

3449098.96

Solution :

3449098.96

Now we have to shift this decimal point to the left side, six digits. So, we have to take positive power.

3.44909896 x 106

Example 3 :

Write the following number in scientific notation.

0.0063

Solution :

0.0063

Now we have to shift this decimal point to the right side, three digits. So, we have to take negative power.

6.3 x 10-3

Example 4 :

Write the following number in scientific notation.

0.00008035

Solution :

0.00008035

Now we have to shift this decimal point to the right side, five digits. So, we have to take negative power.

8.035 x 10-5

Example 5 :

Write the following number in scientific notation.

0.000108

Solution :

0.000108

Now we have to shift this decimal point to the right side, four digits. So, we have to take negative power.

1.08 x 10-4

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

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6