Final answer:
The number 75,232 in expanded form is 70,000 + 5,000 + 200 + 30 + 2, and its scientific notation is 7.5232 × 10^4.
Step-by-step explanation:
To write the number 75,232 in expanded form, you would break it down based on the place value of each digit and express it as the sum of each digit multiplied by its corresponding place value. The expanded form would be:
70,000 + 5,000 + 200 + 30 + 2
This shows the value of each digit within the number when it is broken down into units (ones), tens, hundreds, thousands, and ten-thousands.
Converting to Scientific Notation
For scientific notation, you would move the decimal point in the number 75,232 so that there is one non-zero digit to the left of the decimal. This would give you 7.5232. Since you moved the decimal point 4 places to the left, you would then multiply by 10 raised to the power of 4:
7.5232 × 10^4
This is the number 75,232 expressed in scientific notation..