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Adding & Subtracting in Scientific Notation
Exponents are SAME 1.) If exponents same, add or subtract the coefficients and keep the power of 10. Examples: (3.5 x 105) (8.9 x 10-3) + (2.3 x 105) (6.3 x 10-3) 5.8 x x 10-3 2.) If needed, adjust decimal and exponent so answer is in scientific notation.
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Adding & Subtracting in Scientific Notation
Exponents are DIFFERENT 1.) If exponents different, change to the largest exponent. Example: (3.5 x 106) + (2.3 x 105) 0.23 x 106 2.) Add or subtract coefficients and keep the common base. (3.5 x 106) + (0.23 x 106) 3.73 x 106 3.) If needed, adjust decimal and exponent so answer is in scientific notation. Change the term with smaller exponent to match the larger exponent. Exponent increased. Decimal decreased.
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p. 54 in MSG Example: (9.21 x 108) + (8.2 x 108)
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Change the term with smaller exponent to match the larger exponent.
p. 54 in MSG Example: (5 x 105) - (4.1 x 102) Change the term with smaller exponent to match the larger exponent.
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Change the term with smaller exponent to match the larger exponent.
p. 54 in MSG Example: (7.1 x 10-3) - (2.5 x 10-4) Change the term with smaller exponent to match the larger exponent.
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Change the term with smaller exponent to match the larger exponent.
p. 54 in MSG Example: (3.3) + (9.9 x 103) Change the term with smaller exponent to match the larger exponent.
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