Question

Выполните действия 1) |-12,8|-|-51/4| 2) |5,7|×|-2 2/19| 3) |-6,2|÷|0,2|-|-7,4|

Answer 1

Відповідь:0,05;6,6;23,6

Покрокове пояснення:1)12,8-51/4=0 ,05

2)5,7×22/19=6,6

3)6,2÷0,2-7,4=23,6

Answer 2

1. |-12,8|-|-51/4| To simplify this expression, we first evaluate the absolute values: |-12,8| = 12,8 |-51/4| = 51/4

Now we substitute the absolute values back into the expression: 12,8 - 51/4

To subtract these values, we need a common denominator: 12,8 = 12,8 * 4/4 = 51,2/4

Now we can perform the subtraction: 51,2/4 - 51/4 = (51,2 - 51)/4 = 0,2/4 = 1/20

Therefore, the result of the expression |-12,8|-|-51/4| is 1/20.

2. |5,7|×|-2 2/19| Again, we start by evaluating the absolute values: |5,7| = 5,7 |-2 2/19| = 2 2/19

Now we substitute the absolute values back into the expression: 5,7 × 2 2/19

To multiply these values, we convert the mixed number to an improper fraction: 2 2/19 = (2 × 19 + 2)/19 = 40/19

Now we can perform the multiplication: 5,7 × 40/19 = (5,7 × 40)/(19 × 1) = 228/19

Therefore, the result of the expression |5,7|×|-2 2/19| is 228/19.

3. |-6,2|÷|0,2|-|-7,4| Let's evaluate the absolute values first: |-6,2| = 6,2 |0,2| = 0,2 |-7,4| = 7,4

Now we substitute the absolute values back into the expression: 6,2 ÷ 0,2 - 7,4

Performing the division: 6,2 ÷ 0,2 = (6,2 × 10)/(0,2 × 10) = 62/2 = 31

Now we can subtract: 31 - 7,4 = 31 - 74/10

To subtract these values, we need a common denominator: 31 = 31 × 10/10 = 310/10

Now we can perform the subtraction: 310/10 - 74/10 = (310 - 74)/10 = 236/10 = 118/5

Therefore, the result of the expression |-6,2|÷|0,2|-|-7,4| is 118/5.