Q. Write the number 7.7×10−4 in standard form.Answer:
Understand scientific notation: Understand the meaning of scientific notation.Scientific 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 1 and 10 and a power of 10.
Identify coefficient and exponent: Identify the coefficient and the exponent in the scientific notation.In the given scientific notation 7.7×10−4, the coefficient is 7.7, and the exponent is −4.
Convert to standard form: Convert the scientific notation to standard form.To 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, we will move the decimal point 4 places to the left.
Move decimal point: Moving the decimal point 4 places to the left.Starting with 7.7, we move the decimal point 4 places to the left. Since there are not enough digits to the left of the decimal, we will need to add zeros.7.7→0.77→0.077→0.0077→0.00077
Write final answer: Write the final answer in standard form.After moving the decimal point 4 places to the left, we have the standard form of the number: 0.00077.
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