Вопрос:

Задание 5. Найдите значение выражения 1) -3-(-7,1)-2,8 2) -0,4-(-10)²+54 3) 91+0,3-(-10)³ 4) (1,3·10⁻²)-(6·10⁻³) 5) (5·10³)²-(11·10⁻³) 6) (11·10⁻²)²-(15·10³) 7) -0,7-(-10)³-9-(-10)²-51 8) 0,009-9-900000 9) 0,2-0,002-200 10) -0,1-(-5)-2-(-5)³-16 11) 7·10+9·10⁰+8·10⁻³

Ответ:

Задание 5

  1. \( -3 - (-7.1) - 2.8 = -3 + 7.1 - 2.8 = 4.1 - 2.8 = 1.3 \)
  2. \( -0.4 - (-10)^2 + 54 = -0.4 - 100 + 54 = -100.4 + 54 = -46.4 \)
  3. \( 91 + 0.3 - (-10)^3 = 91.3 - (-1000) = 91.3 + 1000 = 1091.3 \)
  4. \( (1.3 · 10^{-2}) - (6 · 10^{-3}) = 0.013 - 0.006 = 0.007 \)
  5. \( (5 · 10^3)^2 - (11 · 10^{-3}) = (25 · 10^6) - (11 · 10^{-3}) = 25000000 - 0.011 = 24999999.989 \)
  6. \( (11 · 10^{-2})^2 - (15 · 10^3) = (121 · 10^{-4}) - 15000 = 0.0121 - 15000 = -14999.9879 \)
  7. \( -0.7 - (-10)^3 - 9 - (-10)^2 - 51 = -0.7 - (-1000) - 9 - 100 - 51 = -0.7 + 1000 - 9 - 100 - 51 = 1000 - 160.7 = 839.3 \)
  8. \( 0.009 - 9 - 900000 = 0.009 - 900009 = -900008.991 \)
  9. \( 0.2 - 0.002 - 200 = 0.198 - 200 = -199.802 \)
  10. \( -0.1 - (-5) - 2 - (-5)^3 - 16 = -0.1 + 5 - 2 - (-125) - 16 = 4.9 - 2 + 125 - 16 = 2.9 + 109 = 111.9 \)
  11. \( 7 · 10 + 9 · 10^0 + 8 · 10^{-3} = 70 + 9 · 1 + 0.008 = 70 + 9 + 0.008 = 79.008 \)

Ответ: 1) 1.3; 2) -46.4; 3) 1091.3; 4) 0.007; 5) 24999999.989; 6) -14999.9879; 7) 839.3; 8) -900008.991; 9) -199.802; 10) 111.9; 11) 79.008.

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