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Write the following numbers in decimal notation.

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$\\var{dec1}\\times 10^\\var{pow1}$ = [[0]]

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A number is in scientific notation if it is written as a decimal multiplied by some power of 10, where the decimal has exactly one digit in front of the decimal place. For example:

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\$1.234\\times 10^6, \\quad \\text{and} \\quad 3.01\\times 10^{-3}\$

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are both in scientific notation.

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Multiplying a number by $10^\\var{pow1}$ will move the decimal point $\\var{-pow1}$ places to make the number smaller (the decimal point moves to the left). This is because

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\$10^\\var{pow1}=\\frac{1}{10^\\var{-pow1}}=\\frac{1}{\\var{10^-pow1}}=\\var{10^pow1}\$

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and so multiplying by it must make the original number smaller. In particular,

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\$\\var{dec1}\\times 10^\\var{pow1}=\\var{q1}\$

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Note you should always put a zero in front of your decimal point.

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$\\var{dec2}\\times 10^\\var{pow2}$ = [[0]]

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A number is in scientific notation if it is written as a decimal multiplied by some power of 10, where the decimal has exactly one digit in front of the decimal place. For example:

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\$1.234\\times 10^6, \\quad \\text{and} \\quad 3.01\\times 10^{-3}\$

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are both in scientific notation.

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Multiplying a number by $10^\\var{pow2}$ will move the decimal point $\\var{-pow2}$ places to make the number smaller (the decimal point moves to the left). This is because

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\$10^\\var{pow2}=\\frac{1}{10^\\var{-pow2}}=\\frac{1}{\\var{10^-pow2}}=\\var{10^pow2}\$

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and so multiplying by it must make the original number smaller. In particular,

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\$\\var{dec2}\\times 10^\\var{pow2}=\\var{q2}\$

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Note you should always put a zero in front of your decimal point.

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