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dsp73
3 years ago
10

Answers in Scientific Notation.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
7 0

one way is to factor the expressions

(a)

10^{5} (1.2 + (5.35 × 10^{1}))

= 10^{5} (1.2 + 53.5)

= 54.7 × 10^{5} = 5.47 × 10^{1}× 10^{5} = 5.47 × 10^{6}

(b)

10^{-3}((6.91 × 10^{1}) + 2.4)

= 10^{-3}(69.1 + 2.4)

= 71.5 × 10^{-3} = 7.15 × 10^{1} × 10^{-3} = 7.15 × 10^{-2}

(c)

10^{5}((9.7 × 10^{1}) + 8.3)

= 10^{5}(97 + 8.3)

= 105.3 × 10^{5} = 1.053 × 10^{2} × 10^{5} = 1.053 × 10^{7}

(d)

10^{1}((3.67 × 10^{1}) - 1.6)

= 10^{1}(36.7 - 1.6)

= 35.1 × 10^{1} = 3.51 × 10^{1} × 10^{1} = 3.51 × 10^{2}

(e)

10^{-6}((8.41 × 10^{1}) - 7.9)

= 10^{-6}(84.1 - 7.9 )

= 76.2 × 10^{-6} = 7.62 × 10^{1} × 10^{-6} = 7.62 × 10^{-5}

(f)

10^{4}((1.33 × 10^{1}) - 4.9 )

= 10^{4}(13.3 - 4.9) = 8.4 × 10^{4}












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