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Write the number 
5×10^(6) in standard form.
Answer:

Write the number 5×106 5 \times 10^{6} in standard form.\newlineAnswer:

Full solution

Q. Write the number 5×106 5 \times 10^{6} in standard form.\newlineAnswer:
  1. Understand Standard Form: Understand the meaning of standard form. Standard form for a number is written as a single non-zero digit to the left of the decimal point followed by the appropriate number of digits to the right, depending on the value of the exponent.
  2. Identify Base and Exponent: Identify the base and the exponent in the expression 5×1065\times10^{6}. In 5×1065\times10^{6}, the base is 1010 and the exponent is 66. This means we need to move the decimal point in the number 55, six places to the right.
  3. Move Decimal Point: Move the decimal point six places to the right.\newlineStarting with the number 55, which is the same as 5.05.0, we move the decimal point six places to the right, adding zeros as needed to fill in the places.\newline5.05.0 becomes 5,000,0005,000,000 when the decimal point is moved six places to the right.
  4. Write in Standard Form: Write the number in standard form.\newlineAfter moving the decimal point six places to the right, we get the number 5,000,0005,000,000. This is the number 5×1065\times10^{6} written in standard form.

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