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Answer :
To write the number 3,940 in scientific notation, we follow these steps:
1. Identify the coefficient: We need to express 3,940 in the form of [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex]. To do this, we move the decimal point to create a number between 1 and 10.
- For 3,940, the decimal point moves 3 places to the left, from 3,940 to 3.94.
2. Determine the exponent: Count the places the decimal point moved to the left. Since we moved it 3 places to the left, the exponent is 3.
3. Write in scientific notation: Combine the coefficient (3.94) with [tex]\(10\)[/tex] raised to the power calculated (3), to get the final scientific notation.
Therefore, the number 3,940 in scientific notation is:
[tex]\[3.94 \times 10^3\][/tex]
1. Identify the coefficient: We need to express 3,940 in the form of [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex]. To do this, we move the decimal point to create a number between 1 and 10.
- For 3,940, the decimal point moves 3 places to the left, from 3,940 to 3.94.
2. Determine the exponent: Count the places the decimal point moved to the left. Since we moved it 3 places to the left, the exponent is 3.
3. Write in scientific notation: Combine the coefficient (3.94) with [tex]\(10\)[/tex] raised to the power calculated (3), to get the final scientific notation.
Therefore, the number 3,940 in scientific notation is:
[tex]\[3.94 \times 10^3\][/tex]
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