Answer:
16,518
(or 1.6518 x 10⁴)
Step-by-step explanation:
Expanded form: The digits of a number are split into individual digits based on their place value. Each digit of a number can be written in multiple of 1, 10, 100, 1000, etc.
Standard form: The combination of digits written together as a single number.
The given number is not quite, but almost, written in expanded form:
(5 × 1,000) + (7 × 10) + (8 × 1) + (4 × 110) + (1 × 11,000)
For it to truly be written in expanded form, the (4 × 110) would be written as (4 × 10) + (4 × 100) and the (1 × 11,000) would be written as either (11 × 1,000) or (1 × 10,000) + (1 × 1,000).
If the number should be written in standard form as defined above, carry out the operations in the parentheses, then add them together:
[tex]\large\begin{array}{l c r}8 \times 1 & = & 8\\7 \times 10 & = & 70\\4 \times 110 & = & 440\\5 \times 1000 & = & 5000\\1 \times 11000 & = & 11000\\\cline{3-3}& & 16518\end{array}[/tex]
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However, in math there is another type of Standard Form (also called "Scientific notation") that is written in the form of [tex]a \times 10^n[/tex], where [tex]1\leq a < 10[/tex] and [tex]n[/tex] is any positive or negative whole number.
To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.
The number of times you have moved the decimal point is the power of 10 ([tex]n[/tex]).
If the decimal point has moved to the left, the power is positive.
If the decimal point has moved to the right, the power is negative.
To convert 16518 into standard form:
Move the decimal point 4 places to the left and multiply by 10 to the power of the number of places the decimal was moved (4):
⇒ 1.6518 x 10⁴
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**I have provided both standard forms, as it is not clear from the question which is required.**
