Question

Resolva as expressões numéricas: a) 30 ÷ [10 + (2 + 3)] = b) 25 – {√64 + 5³ x [7 – (4 ÷ 2)]} = c) 7² – 3 ÷ 2 + √16 = d) [-1 + (22 – 5 · 6)] ÷ (-5 + 2) + 1 = e) [ – (2 4 – 8) · 2 – 24] ÷ [22 – (-3 + 2)] = f) 5² + √9 – [(+20) : (-4) + 3] g) ( 8 : 2) . 4 + {[(3² - 2³) . 2⁴ - 5⁰] . 4¹}=

Answer 1

Resposta:

a. 2

b. -608

c. 103/2

d. 4

e. 2,43...

f. 32

g. 76

Explicação passo-a-passo:

a. 30 ÷ [10 + (2 + 3)] =

30 ÷ [10 + (5)] =

30 ÷ [15] =

2

b. 25 – {√64 + 5³ x [7 – (4 ÷ 2)]} =

25 – {√64 + 5³ x [7 – (2)]} =

25 – {√64 + 5³ x [5]} =

25 – {√64 + 5^4} =

25 – {8 + 5^4} =

25 – {633} =

-608

c. 7² – 3 ÷ 2 + √16 =

49 – 3 ÷ 2 + √16 =

49 – 3 ÷ 2 + 4 =

49 – 3 ÷ 2 + 4 =

49 (– 3 / 2 + 4) =

49 (-3 + 8)/2 =

49 + 5/2 =

103/2

d. [-1 + (22 – 5 · 6)] ÷ (-5 + 2) + 1 =

[-1 + (22 – 5 · 6)] ÷ (-3) + 1 =

[-1 + (22 – 30)] ÷ (-3) + 1 =

[-1 -8] ÷ (-3) + 1 =

[-9] ÷ (-3) + 1 =

3 + 1 =

4

e. [ – (2 4 – 8) · 2 – 24] ÷ [22 – (-3 + 2)] =

[ – (16) · 2 – 24] ÷ [22 – (-3 + 2)] =

[– (16) · 2 – 24] ÷ [22 – (-1)] =

[– (16) · 2 – 24] ÷ [23] =

[– 32 – 24] ÷ [23] =

[– 56] ÷ [23] =

2,43...

f. 5² + √9 – [(+20) : (-4) + 3] =

5² + √9 – [-5 + 3] =

5² + √9 – [-2] =

5² + √9 + 4 =

5² + 3 + 4 =

25 + 3 + 4 =

32

g. ( 8 : 2) . 4 + {[(3² - 2³) . 2⁴ - 5⁰] . 4¹} =

( 8 : 2) . 4 + {[(9 - 2³) . 2⁴ - 5⁰] . 4¹} =

(8 : 2) . 4 + {[(9 - 8) . 2⁴ - 5⁰] . 4¹} =

(8 : 2) . 4 + {[1 . 2⁴ - 5⁰] . 4¹} =

4 . 4 + {[1 . 2⁴ - 5⁰] . 4¹} =

4 . 4 + {[1 . 2⁴ - 1] . 4¹} =

4 . 4 + {[1 . 16 - 1] . 4¹} =

4 . 4 + {15 . 4¹} =

4 . 4 + {15 . 4} =

4 . 4 + 60 =

16 + 60 =

76