Question

1) |-3/8| + |5/6|! 2) |-2,8| • |1,25|​

Answer 1

1) |-3/8| + |5/6|

3/8 + 5/6

9/24 + 20/24

29/24

2) |-2,8| * |1,25| = 2,8 * 1,25 = 3,5

Answer 2

Let's break down the given expressions:

1. |-3/8| + |5/6|!

To simplify this expression, we need to evaluate the absolute values and factorial separately.

|-3/8| = 3/8 (since the absolute value of -3/8 is 3/8) |5/6|! = |5/6| × |4/6| × |3/6| × |2/6| × |1/6| = 5/6 × 4/6 × 3/6 × 2/6 × 1/6 = 120/1296

Now, substituting these values back into the original expression:

|-3/8| + |5/6|! = 3/8 + 120/1296

To simplify this further, we need to find a common denominator for the fractions:

3/8 + 120/1296 = 405/1296 + 120/1296 = 525/1296

The fraction 525/1296 cannot be simplified any further. However, if you prefer, you can also express it in its simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3 in this case:

525/1296 ÷ 3/3 = 175/432

Therefore, the value of the expression |-3/8| + |5/6|! is 525/1296 or 175/432 in simplest form.

2. |-2.8| • |1.25|

The absolute values of real numbers simply remove the negative sign, so:

|-2.8| = 2.8 |1.25| = 1.25

Now, substituting these values back into the original expression:

|-2.8| • |1.25| = 2.8 • 1.25 = 3.5

Therefore, the value of the expression |-2.8| • |1.25| is 3.5.