Write the number 56987.2365 in expanded notation form: (Decompose 56987.2365)
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 56987
Expanded Notation of 56987 = (5 x 104) + (6 x 103) + (9 x 102) + (8 x 101) + (7 x 100)
Expanded Notation of 56987 = (5 x 10000) + (6 x 1000) + (9 x 100) + (8 x 10) + (7 x 1)
Next, calculate the expanded notation of the decimal portion 2365
Each decimal place is divided by a power of 10:
Expanded Notation of .2365 = (2/101) + (3/102) + (6/103) + (5/104)
Expanded Notation of .2365 = (2/10) + (3/100) + (6/1000) + (5/10000)
Finally, combine the whole number portion and the decimal portion:
56987.2365 = (5 x 10000) + (6 x 1000) + (9 x 100) + (8 x 10) + (7 x 1) + (2/10) + (3/100) + (6/1000) + (5/10000)
Now multiply through and simplify to prove this is the correct notation:
56987.2365 = (50000 + 6000 + 900 + 80 + 7) + (0.2 + 0.03 + 0.006 + 0.0005)
56987.2365 = 56987 + . 2365
56987.2365 = 56987.2365 <---- Correct!
(5 x 10000) + (6 x 1000) + (9 x 100) + (8 x 10) + (7 x 1) . (2/10) + (3/100) + (6/1000) + (5/10000)
You have 2 free calculationss remaining
What is the Answer?
(5 x 10000) + (6 x 1000) + (9 x 100) + (8 x 10) + (7 x 1) . (2/10) + (3/100) + (6/1000) + (5/10000)
How does the Standard Notation Calculator work?
Free Standard Notation Calculator - Calculates the following:
* The numeric notation of word notation
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* The numeric notation of word notation
* Standard notation of expanded notation
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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?
- decimal
- Number in the form a/b where the result is not a whole number
- notation
- An expression made up of symbols for representing operations, unspecified numbers, relations and any other mathematical objects
- standard notation
- a form of writing a given number, an equation, or an expression in a form that follows certain rules
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