Standard Notation Calculator

Standard Notation Calculator Write the number 12345.987 in expanded notation form: (Decompose 12345.987)

Remember that each digit in the whole number represents a power of 10:
First take the whole number portion of the number on the left side of the decimal

First, calculate the expanded notation of the whole number portion 12345
Expanded Notation of 12345 = (1 x 104) + (2 x 103) + (3 x 102) + (4 x 101) + (5 x 100)
Expanded Notation of 12345 = (1 x 10000) + (2 x 1000) + (3 x 100) + (4 x 10) + (5 x 1)

Next, calculate the expanded notation of the decimal portion 987
Each decimal place is divided by a power of 10:
Expanded Notation of .987 = (9/101) + (8/102) + (7/103)
Expanded Notation of .987 = (9/10) + (8/100) + (7/1000)

Finally, combine the whole number portion and the decimal portion:
12345.987 = (1 x 10000) + (2 x 1000) + (3 x 100) + (4 x 10) + (5 x 1) + (9/10) + (8/100) + (7/1000)

Now multiply through and simplify to prove this is the correct notation:
12345.987 = (10000 + 2000 + 300 + 40 + 5) + (0.9 + 0.08 + 0.007)
12345.987 = 12345 + . 987
12345.987 = 12345.987 <---- Correct!

(1 x 10000) + (2 x 1000) + (3 x 100) + (4 x 10) + (5 x 1) . (9/10) + (8/100) + (7/1000)

What is the Answer?

(1 x 10000) + (2 x 1000) + (3 x 100) + (4 x 10) + (5 x 1) . (9/10) + (8/100) + (7/1000)

How does the Standard Notation Calculator work?

Free Standard Notation Calculator - Calculates the following:
* The numeric notation of word notation
* Standard notation of expanded notation
This calculator has 1 input.

What 9 formulas are used for the Standard Notation Calculator?

Ones
Tens
Hundreds
Thousands
Ten-Thousands
Hundred-Thousands
Millions
Ten-Millions
Hundred-Millions

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Standard Notation Calculator?

decimalNumber in the form a/b where the result is not a whole numbernotationAn expression made up of symbols for representing operations, unspecified numbers, relations and any other mathematical objectsstandard notationa form of writing a given number, an equation, or an expression in a form that follows certain rules

Example calculations for the Standard Notation Calculator

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