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Write the number 
7.7 ×10^(-4) in standard form.
Answer:

Write the number 7.7×104 7.7 \times 10^{-4} in standard form.\newlineAnswer:

Full solution

Q. Write the number 7.7×104 7.7 \times 10^{-4} in standard form.\newlineAnswer:
  1. Understand scientific notation: Understand the meaning of scientific notation.\newlineScientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form. It is written as the product of a number between 11 and 1010 and a power of 1010.
  2. Identify coefficient and exponent: Identify the coefficient and the exponent in the scientific notation.\newlineIn the given scientific notation 7.7×1047.7 \times 10^{-4}, the coefficient is 7.77.7, and the exponent is 4-4.
  3. Convert to standard form: Convert the scientific notation to standard form.\newlineTo convert from scientific notation to standard form, we need to move the decimal point to the left if the exponent is negative (or to the right if the exponent is positive). Since our exponent is 4-4, we will move the decimal point 44 places to the left.
  4. Move decimal point: Moving the decimal point 44 places to the left.\newlineStarting with 7.77.7, we move the decimal point 44 places to the left. Since there are not enough digits to the left of the decimal, we will need to add zeros.\newline7.70.770.0770.00770.000777.7 \rightarrow 0.77 \rightarrow 0.077 \rightarrow 0.0077 \rightarrow 0.00077
  5. Write final answer: Write the final answer in standard form.\newlineAfter moving the decimal point 44 places to the left, we have the standard form of the number: 0.000770.00077.

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