How To Multiply Scientific Notation

What is Scientific Notation?

Jenn (B.S., M.Ed.) of Calcworkshop® teaching scientific notation

Jenn, Founder Calcworkshop^®, 15+ Years Experience (Licensed & Certified Teacher)

Scientific Notation, is a way for us to write and use very large or very small-scale numbers easily.

In fact, yous'll quickly encounter that working in Scientific Notation enables us to work effectively all while fugitive devil-may-care mistakes with decimals.

To begin, we must empathise how to read and write a number in scientific notation. Equally Math is Fun, and so nicely points out, a number written in scientific notation has two parts:

The digits followed past x10 to a power

Next, we will discover the Scientific Notation Rules that we must follow to Catechumen to Scientific Notation or from Scientific Notation to Decimal Class (or Standard Grade).

Using positive and negative powers of 10 to calculate numbers

Scientific Notation is Based on Powers of ten

The outset footstep in converting from scientific notation to decimal form is to ask yourself, "How many places practise I need to move the decimal point?"

We do this past looking at the exponent (ability).

If the power is positive, y'all move to the right, and if the ability is negative you move to the left!

Now, if nosotros want to convert from a decimal into Scientific Annotation, or the power of ten, we nonetheless need to inquire the aforementioned bones question…

…how many places practise I need to motility the decimal point?

We want the decimal betoken to be behind one unmarried digit, other than zero, so we must move the decimal from its current location past counting places.

Merely this fourth dimension, if we move the decimal left the ability will be positive, and if we movement the decimal right, the power will be negative.

Don't worry; all will make sense once you see it in action.

Trust me!

Writing numbers in scientific notation or expanded decimal form

Scientific Note Examples

But, the efficiency of Scientific Annotation isn't limited to writing numbers, we tin also perform Operations with Scientific Notation!

What type of operations?

Calculation, Subtracting, Multiplying and Dividing with Scientific Notation.

Nosotros will walk through countless examples, and be able to employ Scientific Annotation efficiently, without the utilize of a calculator. Only, information technology is of import to annotation, that if you practise use a estimator or math program, sometimes you will see an "E" instead of "x 10", but don't fearfulness… they mean the same thing!

Scientific Notation (How-To) – Video

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