Write the number 4598 in expanded notation form: (Decompose 4598)

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

Expanded Notation of 4598 = (4 x 103) + (5 x 102) + (9 x 101) + (8 x 100)
Expanded Notation of 4598 = (4 x 1000) + (5 x 100) + (9 x 10) + (8 x 1)

Now multiply through and simplify to prove this is the correct notation:
4598 = 4000 + 500 + 90 + 8
4598 = 4598 <---- Correct!

(4 x 1000) + (5 x 100) + (9 x 10) + (8 x 1)


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Common Core State Standards In This Lesson
2.NBT.A.3, 5.NBT.A.3.A
What is the Answer?
(4 x 1000) + (5 x 100) + (9 x 10) + (8 x 1)
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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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