Answer:
437,318 = 4×10⁵ +3×10⁴ +7×10³ +3×10² +1×10¹ +8×10⁰ and see below
Explanation:
You want to know the expanded form of the base-10 number 437,318.
Expanded form
In general, "expanded form" is a form in which the place value of each digit position is made more or less explicit. There are at least 3 different ways a number can be written in expanded form.
This form shows the value of each digit according to its place in the number.
437,318 = 400,000 +30,000 +7,000 +300 +10 +8
This form shows the place value multiplier of each digit.
437,318 = 4×100,000 +3×10,000 +7×1,000 +3×100 +1×10 +8×1
This form shows the place value multiplier as a power of 10. Understanding this form can be useful when converting a number to or from scientific notation.
437,318 = 4×10⁵ +3×10⁴ +7×10³ +3×10² +1×10¹ +8×10⁰
The powers of ten continue to decrease for number places to the right of the decimal point.
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Additional comment
Understanding expanded form(s) can also be helpful when you consider number bases other than 10. As in the last form shown above, each place value multiplier in a place value number is a power of the base of the number system. The powers increase to the left and decrease to the right.
The attachment shows a number different from the one in this problem statement. It is intended to show you the place value multipliers and their names.