How do you write 0.00345 in scientific notation?

Asked By: Herica Ruters | Last Updated: 3rd February, 2020
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1. The speed of light (299792458 m/s) in scientific notation is 2.99792458×108 ≈ 3×108 m/s. 2. 0.00345 would be written as 3.45×10-3 in scientific notation.

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Likewise, how do you write 0.0005 in scientific notation?

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Also, what are the rules in writing scientific notation? To create the scientific notation form, start by counting digits left or right from the existing decimal point. The number of digits counted becomes the exponent, with a base of ten. Count left and the exponent is positive; count right, and it is negative.

Considering this, how do you write 0.00001 in scientific notation?

In other words, it is written as a×10n , where 1≤a<10 and n is an integer. To write 0.0001 in scientific notation, we will have to move the decimal point four points to right, which literally means multiplying by 104 .

Which is a correct representation of .000025 in scientific notation?

0008 can be written in scientific notation as 8 x 10-4 or as 8E-4. The power of 10 (-4 in this case) tells you to take the number 8.0 and move the decimal 4 places to the left giving us .

30 Related Question Answers Found

What is an example of standard notation?

Standard notation is the normal way of writing numbers. Key Vocabulary. mantissa = this is the integer or first digit in any Scientific Notation. For example in 1.3 ×106, the mantissa is the "1"

What is the meaning of scientific notation?

Scientific notation is a mathematical expression used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits. An example of scientific notation is when you write 4 x 10³ for 4,000. YourDictionary definition and usage example.

Why is scientific notation used?

The primary reason for converting numbers into scientific notation is to make calculations with unusually large or small numbers less cumbersome. Because zeros are no longer used to set the decimal point, all of the digits in a number in scientific notation are significant, as shown by the following examples.

What does e mean on a calculator?

On a calculator display, E (or e) stands for exponent of 10, and it's always followed by another number, which is the value of the exponent. For example, a calculator would show the number 25 trillion as either 2.5E13 or 2.5e13. In other words, E (or e) is a short form for scientific notation.

What is 0.0001 called?


In machining, where the thou is often treated as a basic unit, 0.0001 inches can be referred to as "one tenth", meaning "one tenth of a thou" or "one ten thousandth".

What is 0.00001 as a power of 10?

Powers of 10
101=10 101=1
105=100,000 (one hundred thousand) 10-4=0.0001 (one ten thousandth)
106=1,000,000 (one million) 10-5=0.00001 (one hundred thousandth)
107=10,000,000 (ten million) 10-6=0.000001 (one millionth)

How do you write 0.00045 in scientific notation?

To write 0.00045 in scientific notation, write 4.5 x 10-4 The expression “4.5 x 10-4” is saying, “write 4.5 and move the decimal place four places to the left giving 0.00045.” Or you can think of it as saying 4.5 / 104 or 4.5 / 10000.

What does 10e6 mean?

10E6. 1,000,000. one million. 1 Megohm Resistor or 1,000,000 ohms.

What is 0.0001 as a fraction?

Decimal to fraction conversion table
Decimal Fraction
0.00001 1/100000
0.0001 1/10000
0.001 1/1000
0.01 1/100

How do you write a fraction in scientific notation?


A fraction smaller than 1 can be converted to scientific notation by decreasing the power of ten by one for each decimal place the denominator is decreased by. Scientific notation numbers may be written in different forms. The number 6.5x10-7 could also be written as 6.5e-7.

How do you write 47300 in scientific notation?

Why is 47,300 written as 4.73 x 104 in scientific notation?
  1. To find a, take the number and move a decimal place to the right one position.
  2. Now, to find b, count how many places to the right of the decimal.
  3. Building upon what we know above, we can now reconstruct the number into scientific notation.
  4. Check your work:

What is a real life example of scientific notation?

Shivdeth:- Distance light travels in a year is exactly 9,460,528,400,000,000 km = 9.4605284 . 10^15 Density of oxygen is 0.001332 g per cc = 1.332 . 10^-3. Shivdeth:- Distance light travels in a year is exactly 9,460,528,400,000,000 km = 9.4605284 . 10^15 Density of oxygen is 0.001332 g per cc = 1.332 .

What is 0.0970 written in scientific notation?

What is 0.0970 written in scientific notation? 532.0.

What is scientific notation worksheet?

Scientific Notation Worksheets. Scientific notations are a way we can easily write a number that is too big or small as a product of a real number and power of 10. The general form of a number written in scientific notation is; a × 10b Here; a is the coefficient and b is the exponent.

What is decimal in standard form?


The standard form of a decimal number shows the decimal number written in figures. As an example, two tenth is written as 0.2 in standard form. Example: Write thirty-five and seven hundred eighty-two thousandths in standard form.

What does E mean in math?

The number e is one of the most important numbers in mathematics. It is often called Euler's number after Leonhard Euler (pronounced "Oiler"). e is an irrational number (it cannot be written as a simple fraction). e is the base of the Natural Logarithms (invented by John Napier).

How do you convert a decimal to a power?

To convert to scientific notation, start by moving the decimal place in the number until you have a coefficient between 1 and 10; here it is 3.45. The number of places to the left that you had to move the decimal point is the exponent. Here, we had to move the decimal 4 places to the right, so the exponent is -4.