# CONVERT BETWEEN STANDARD AND SCIENTIFIC NOTATION WORKSHEET

Convert between Standard and Scientific Notation Worksheet :

Worksheet given in this section will be much useful for the students who would like to practice problems on conversion between standard and scientific notation.

Before look at the worksheet, if you wish to learn scientific notation rules,

## Convert between Standard and Scientific Notation Worksheet - Problems

Problem 1 :

Write the following number in scientific notation.

205852

Problem 2 :

Write the following number in scientific notation.

3449098.96

Problem 3 :

Write the following number in scientific notation.

0.00008035

Problem 4 :

Write the following number in standard form.

5.236 x 105

Problem 5 :

Write the following numbers in standard form.

6.415 x 10-6

Problem 6 :

Write the following number in standard form.

1.72 x 109

Problem 7 :

Write the following number in standard form.

0.00023 x 107

Problem 8 :

Write the following number in standard form.

0.036 x 10-3

## Convert between Standard and Scientific Notation Worksheet - Problems

Problem 1 :

Write the following number in scientific notation.

205852

Solution :

Here, we don't find decimal point in 205852. So we have to assume that there is decimal point at the end .

Then,

205852 ---------> 205852.

Here, non zero digit comes first and decimal point comes next.

We have to move the decimal point to the left.

No. of digits between the 1st non zero digit and the decimal point is 5.

So, the decimal point has to be moved 5 digits to the left and exponent of 10 should be 5 (positive integer).

Therefore, the scientific notation of 205852 is

2.05852 x 105

Problem 2 :

Write the following number in scientific notation.

3449098.96

Solution :

3449098.96

Here, non zero digit comes first and decimal point comes next.

We have to move the decimal point to the left.

No. of digits between the 1st non zero digit and the decimal point is 6.

So, the decimal point has to be moved 6 digits to the left and exponent of 10 should be 6 (positive integer)

Therefore, the scientific notation of 3449098.96 is

3.44909896 x 106

Problem 3 :

Write the following number in scientific notation.

0.00008035

Solution :

Here, decimal point comes first and non zero digit comes next.

We have to move the decimal point to the right.

No. of digits from the decimal point up to the first non zero digit is 5.

So, the decimal point has to be moved 5 digits to the right and exponent of 10 should be -5 (negative integer)

Therefore, the scientific notation of 0.00008035 is

8.035 x 10-5

Problem 4 :

Write the following number in standard form.

5.236 x 105

Solution :

Here, the exponent of 10 is positive 5. So we have to move the decimal point five digits to the right.

In 5.236, we have only three digits after the decimal point.

So, we have to add two zeros to move the decimal point five digits to the right.

Therefore, the standard form of 5.236 x 105 is

523600

Problem 5 :

Write the following numbers in standard form.

6.415 x 10-6

Solution :

Here, the exponent of 10 is negative 6. So we have to move the decimal point six digits to the left.

In 6.415, we have only 1 digit before the decimal point.

So, we have to add five zeros to move the decimal point six digits to the left.

Therefore, the standard form of 6.415 x 10-6 is

0.000006415

Problem 6 :

Write the following number in standard form.

1.72 x 109

Solution :

Here, the exponent of 10 is positive 9. So we have to move the decimal point nine digits to the right.

In 1.72, we have only two digits after the decimal point.

So, we have to add seven zeros to move the decimal point nine digits to the right.

Therefore, the standard form of 1.72 x 109 is

1720000000

Problem 7 :

Write the following number in standard form.

0.00023 x 107

Solution :

Here, the exponent of 10 is positive 7. So we have to move the decimal point seven digits to the right.

In 0.00023, we have only five digits after the decimal point.

So, we have to add two zeros to move the decimal point seven digits to the right.

Therefore, the standard form of 0.00023 x 107 is

2300

Problem 8 :

Write the following numbers in standard form.

0.036 x 10-3

Solution :

Here, the exponent of 10 is negative 3. So we have to move the decimal point three digits to the left.

In 0.036, we don't have any non zero digit before the decimal point.

So, we have to add three zeros to move the decimal point three digits to the left.

Therefore the standard form of 0.036 x 10-3 is

0.000036

After having gone through the stuff given above, we hope that the students would have understood how to conversion between standard form and scientific notation

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

You can also visit our 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