Questions: Write the number in scientific notation. 780,000 7.8 × 10^-5 7.8 × 10^5 7.8 × 10^4 7.8 × 10^-4

Write the number in scientific notation. 780,000 7.8 × 10^-5 7.8 × 10^5 7.8 × 10^4 7.8 × 10^-4
Transcript text: Write the number in scientific notation. 780,000 $7.8 \times 10^{-5}$ $7.8 \times 10^{5}$ $7.8 \times 10^{4}$ $7.8 \times 10^{-4}$
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Solution

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Solution Steps

To convert a number into scientific notation, express it as a product of a number between 1 and 10 and a power of 10. For 780,000, identify the significant digits and count the number of places the decimal point moves to convert it into a number between 1 and 10.

Step 1: Convert to Scientific Notation

To express the number \( 780,000 \) in scientific notation, we identify the significant digits. The number can be rewritten as \( 7.8 \) multiplied by a power of \( 10 \). Specifically, we move the decimal point 5 places to the left, which gives us:

\[ 780,000 = 7.8 \times 10^5 \]

Final Answer

The answer is \( \boxed{7.8 \times 10^5} \).

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