How to write 500,000 in expanded form?
Understand the Problem
The question is asking how to express the number 500,000 in expanded form. Expanded form is a way to break down a number to show the value of each digit. In this case, we will demonstrate how to write 500,000 by representing each digit's place value.
Answer
The expanded form of 500,000 is \( 5 \times 100,000 \).
Answer for screen readers
The expanded form of 500,000 is ( 5 \times 100,000 ).
Steps to Solve
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Identify the place values of each digit Start by recognizing that the number 500,000 has digits in the following places: 5 in the hundred thousands place and 0s in the other places.
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Write the expanded form The expanded form combines the value of each non-zero digit multiplied by its place value. For 500,000, it can be expressed as: $$ 5 \times 100,000 + 0 \times 10,000 + 0 \times 1,000 + 0 \times 100 + 0 \times 10 + 0 \times 1 $$
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Simplify the expanded form Since the multiplication with zero results in zero, we can simplify it to just: $$ 5 \times 100,000 $$
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Final expression Thus, the final expanded form for 500,000 is: $$ 500,000 = 5 \times 100,000 $$
The expanded form of 500,000 is ( 5 \times 100,000 ).
More Information
In expanded form, each digit of a number is shown to clarify its value, emphasizing how large numbers are built based on place value. This method helps in understanding the significance of each number in a larger context.
Tips
- Including zeroes in the final form: People often try to write all parts of the number, including zeros, in expanded form. Remember, zeros do not contribute any value to the sum, so they can be omitted.
