Question
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Answer
760,000 in scientific notation is 7.6 × 10⁵.
Solution
To convert 760,000 into scientific notation, follow these steps:
1. Place the decimal point after the first nonzero digit: 7.60000 becomes 7.6.
2. Count how many places you moved the decimal point to go from 760,000 to 7.6. In this case, you moved it 5 places to the left.
3. Write the number in the form 7.6 × 10^5.
So, 760,000 in scientific notation is 7.6 × 10^5.
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Mind Expander
760,000 can be expressed in scientific notation as 7.6 x 10^5. This format is useful for simplifying large numbers, making it easier to read and work with them, especially in scientific contexts where numbers can span several orders of magnitude. When converting to scientific notation, the key is to place the decimal point just after the first non-zero digit. In this case, we moved the decimal point 5 places to the left, which is why we multiply by 10 raised to the power of 5. Remember to count how many places you move the decimal to determine the exponent!