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Work with radicals and integer exponents.
Work with radicals and integer exponents.
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.
Breakdown
Breakdown
To add or subtract numbers written in scientific notation, the powers of ten must have identical exponents. If they do, simply add/subtract the leading coefficients and keep the exponent the same.
If the sum is not less than ten/greater than one, the decimal must be moved and exponent adjusted properly.
Adding
Adding
Subtracting
Subtracting
To multiply or divide numbers in scientific notation, rearrange the factors and group the coefficients and powers of 10. Multiply/divide the coefficients, then multiply the powers of 10 (by adding/subtracting the exponents). Then write the number in scientific notation.
Multiplying
Multiplying
Dividing
Dividing
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