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# Scientific Notation

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by

Tweet## abner lopez

on 7 September 2012#### Transcript of Scientific Notation

Scientific Notation abner hgdffg An easy way to convert a

STANDARD form number TO SCIENTIFIC

form is to count the number of digits.

In this case=14 Scientific notation is

used to express very

large or very small

numbers. A number in

scientific notation is

written as the product

of a number (integer or

decimal) and a power

of 10. This number is always

1 or more and less than 10. 17 000 000 000 000 The next step would be

to subtract 1 from the

number of digits since you

need to put a decimal

point in front of the first 1-9 number. For example: 1.7 000 000 000 000 you now have 13 digits This is how you write

17 000 000 000 000

in scientific form 1.7 x 10 13 number of digits

equals to number

of exponent and that's how you convert

a standard form number into

scientific notation easy huh? As i told you before, a number

written in scientific notation

must always have a decimal point.

for instance:

1.2x10 9 also the number must be multip-

lied by ten with a power Ok now, what you are going to

have to do is look at the power

and see what number it is.

in this case it would be 9. 1.2x10 9 The next step is really easy.

Since the power is positive 9,

you're

gonna have to move the deci-

mal point 9 times to the right

so that the number gets big-

ger. 1.200000000 now you have 1 200 000 000 When the power is negative,

it means the number is small.

and that means you have to

move the decimal point to the

left to make the number smal-

ler. 1.2x10 -5 .00001.2 your number is now

.000012 (small) ok, now we are going to do some examples Radius of the universe= 156 000 000 000 Scientific notation: 1.56x10 11 the power is eleven because the

number of digits in front of the

decimal point 11. Let's do more examples milky way gala-

xy radius:

50 000 light

years. Scientific notation

5.0x10 4 the power is 4 because the

number of digits in front of the

decimal point is 4 Distance from earth to

sun 149 597 890 Scientific notation: 1.4959789 . 10 8 the power is 8 because the

number of digits in front of the

decimal point is 8 Distance from El Paso to disneyland 4 155 360 feet Scientific notation: 4.15536 10 6 x the power is 6 because the

number of digits in front of the

decimal point is 6 2 914 560 Distance from El Paso to San Antonio Scientific notation: 2.91456 x 10 6 the power is 6 because the

number of digits in front of the

decimal point is 6 Distance from El Paso to Las Cruces 243 408 feet Scientific Notation: 2.43408 x 10 5 the power is 5 because the

number of digits in front of the

decimal point is 5 Height from floor to doorknob 1,000 millimeters Scientific notation: 1.0 x 10 3 the power is 3 because the

number of digits in front of the

decimal point is 3 distance from index finger to thumb 0.0001 km Scientific notation: 1.0 x 10 -4 remember, when

a number is small,

the power has got

to be negative Index finger's width 0.00001 km Scientific notation: 1.0 x 10 -5 negative exponent

means small number Thickness of a fingernail 0.000001 km Scientific notation 1.0 x 10 -6 Radius of a dust particle 0.0001 meters Scientific notation: 1.0 x 10 -4 Radius of a water particle 0.0000000014 Scientific notation: 1.4 x 10 -9 Radius of a hydrogen atom 0.0000000000529 Scientific notation 5.29 x 10 -11 The End

Full transcriptSTANDARD form number TO SCIENTIFIC

form is to count the number of digits.

In this case=14 Scientific notation is

used to express very

large or very small

numbers. A number in

scientific notation is

written as the product

of a number (integer or

decimal) and a power

of 10. This number is always

1 or more and less than 10. 17 000 000 000 000 The next step would be

to subtract 1 from the

number of digits since you

need to put a decimal

point in front of the first 1-9 number. For example: 1.7 000 000 000 000 you now have 13 digits This is how you write

17 000 000 000 000

in scientific form 1.7 x 10 13 number of digits

equals to number

of exponent and that's how you convert

a standard form number into

scientific notation easy huh? As i told you before, a number

written in scientific notation

must always have a decimal point.

for instance:

1.2x10 9 also the number must be multip-

lied by ten with a power Ok now, what you are going to

have to do is look at the power

and see what number it is.

in this case it would be 9. 1.2x10 9 The next step is really easy.

Since the power is positive 9,

you're

gonna have to move the deci-

mal point 9 times to the right

so that the number gets big-

ger. 1.200000000 now you have 1 200 000 000 When the power is negative,

it means the number is small.

and that means you have to

move the decimal point to the

left to make the number smal-

ler. 1.2x10 -5 .00001.2 your number is now

.000012 (small) ok, now we are going to do some examples Radius of the universe= 156 000 000 000 Scientific notation: 1.56x10 11 the power is eleven because the

number of digits in front of the

decimal point 11. Let's do more examples milky way gala-

xy radius:

50 000 light

years. Scientific notation

5.0x10 4 the power is 4 because the

number of digits in front of the

decimal point is 4 Distance from earth to

sun 149 597 890 Scientific notation: 1.4959789 . 10 8 the power is 8 because the

number of digits in front of the

decimal point is 8 Distance from El Paso to disneyland 4 155 360 feet Scientific notation: 4.15536 10 6 x the power is 6 because the

number of digits in front of the

decimal point is 6 2 914 560 Distance from El Paso to San Antonio Scientific notation: 2.91456 x 10 6 the power is 6 because the

number of digits in front of the

decimal point is 6 Distance from El Paso to Las Cruces 243 408 feet Scientific Notation: 2.43408 x 10 5 the power is 5 because the

number of digits in front of the

decimal point is 5 Height from floor to doorknob 1,000 millimeters Scientific notation: 1.0 x 10 3 the power is 3 because the

number of digits in front of the

decimal point is 3 distance from index finger to thumb 0.0001 km Scientific notation: 1.0 x 10 -4 remember, when

a number is small,

the power has got

to be negative Index finger's width 0.00001 km Scientific notation: 1.0 x 10 -5 negative exponent

means small number Thickness of a fingernail 0.000001 km Scientific notation 1.0 x 10 -6 Radius of a dust particle 0.0001 meters Scientific notation: 1.0 x 10 -4 Radius of a water particle 0.0000000014 Scientific notation: 1.4 x 10 -9 Radius of a hydrogen atom 0.0000000000529 Scientific notation 5.29 x 10 -11 The End