Question

1) Calcule o valor das expressões

a) ½ : 1/3 + ¾ x 5/9 = ( R: 69/36)
b) 3/8 x ( ½ x 4/3 + 4/3 ) = (R: 36/48)
c) ( 1/3 + ¼ ) : 5/2 + 2/3 = (R: 54/60)
d) ( ¾ + ¼ - ½ ) : 3/2 = (R: 8/11)
d) ( 1 + 1/3 )² x 9/4 + 6 = (R: 360/36)
e) 1 + (3/2)² + ( 1 + ¼ ) = (R: 18/4)

Answer 1

a) 1/2 ÷ 1/3 + 3/4 × 5/9 = 1/2 × 3/1 + 1/4 × 5/3 = 3/2 + 5/12 = 18/12 + 5/12 = 23/12.

b) 3/8 × (1/2 × 4/3 + 4/3) = 3/8 × (1/1 × 2/3 + 4/3) = 3/8 × 6/3 = 1/4 × 3/1 = 3/4.

c) (1/3 + 1/4) ÷ 5/2 + 2/3 = (4/12 + 3/12) × 2/5 + 2/3 = 7/12 × 2/5 + 2/3 = 7/6 × 1/5 + 2/3 = 7/30 + 2/3 = 7/30 + 20/30 = 27/30 = 9/10.

d) (3/4 + 1/4 - 1/2) ÷ 3/2 = (3/4 + 1/4 - 2/4) × 2/3 = 2/4 × 2/3 = 2/2 × 1/3 = 2/6 = 1/3.

e) (1 + 1/3)² × 9/4 + 6 = (3/3 + 1/3)² × 9/4 + 6 = (4/3)² × 9/4 + 6 = 16/9 × 9/4 + 6 = 4/1 × 1/1 + 6 = 4 + 6 = 10.

f) 1 + (3/2)² + (1 + 1/4) = 1 + 9/4 + (4/4 + 1/4) = 4/4 + 9/4 + 5/4 = 18/4 = 9/2.

Answer 2

Determinando o valor das expressões, temos:

• a) 69/36
• b) 36/48
• c) 42/228
• d) 4/12
• e) 360/36
• f) 18/4

Expressão numérica

As expressões numéricas são expressões matemáticas que possuem diversas operações entre termos, sendo que para a sua correta resolução temos que priorizar operações. A ordem de preferência é:

• Multiplicação;
• Divisão;
• Adição;
• Subtração.

Determinando o resultado dessas expressões, temos:

a) 1/2 : 1/3 + 3/4 * 5/9 =

1/2 * 3/1 + 3*5/4*9

3/2 + 15/36

54/36 + 15/36

69/36

b) 3/8 * ( 1/2 * 4/3 + 4/3 )

3/8 * (4/6 + 4/3)

3/8 * (4/6 + 8/6)

3/8 * 12/12

36/48

c) (1/3 + 1/4) : 5/2 + 2/3

(4/12 + 3/12) : 5/2 + 2/3

7/12 : (15/6 + 4/6)

7/12 : 19/6

7/12 * 6/19

42/228

d) (3/4 + 1/4 - 1/2) : 3/2

(4/4 - 2/4) : 3/2

2/4 : 3/2

2/4 * 2/3

4/12

e) (1 + 1/3)² * 9/4 + 6

(3/3 + 1/3)² * 9/4 + 6

(4/3)² * 9/4 + 6

16/9 * 9/4 + 6

144/36 + 6

144/36 + 216/36

360/36

f) 1 + (3/2)² + ( 1 + 1/4)

1 + 9/4 + (1 + 1/4)

4/4 + 9/4 + (4/4 + 1/4)

13/4 + 5/4

18/4

Aprenda mais sobre expressão numérica aqui:

https://brainly.com.br/tarefa/40320410

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