Question

Найдите значение выражения 1) |5,1| +|-9,9|,2) |-7/9|-|-4/15|,3)|-9,6|:|32| 4)|8/9|*|-27/32|.

Answer 1

I5.1I+I-9.9I=5.1+9.9=15
I-7/9I-I-4/15I=7/9-4/15=35/45-12/45=23/45
I-9.6I:I32I=9.6:32=0.3
I8/9I*I-27/32I=8/9*27/32=3/4

Answer 2

1. |5.1| + |-9.9| The absolute value of 5.1 is 5.1, and the absolute value of -9.9 is 9.9. Therefore, the expression simplifies to:

   |5.1| + |-9.9| = 5.1 + 9.9 = 15

2. |-7/9| - |-4/15| The absolute value of -7/9 is 7/9, and the absolute value of -4/15 is 4/15. Therefore, the expression simplifies to:

   |-7/9| - |-4/15| = 7/9 - 4/15

   To subtract fractions, we need a common denominator. The least common multiple of 9 and 15 is 45. Converting the fractions to have a denominator of 45:

   (7/9) * (5/5) - (4/15) * (3/3) = 35/45 - 12/45

   Now we can subtract the fractions:

   35/45 - 12/45 = 23/45

3. |-9.6| : |32| The absolute value of -9.6 is 9.6, and the absolute value of 32 is 32. Therefore, the expression simplifies to:

   |-9.6| : |32| = 9.6 : 32

   To divide fractions, we multiply by the reciprocal of the divisor:

   9.6 * (1/32) = 0.3

4. |8/9| * |-27/32| The absolute value of 8/9 is 8/9, and the absolute value of -27/32 is 27/32. Therefore, the expression simplifies to:

   |8/9| * |-27/32| = 8/9 * 27/32

   To multiply fractions, we multiply the numerators together and the denominators together:

   (8 * 27) / (9 * 32) = 216/288

   We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 72:

   (216/72) / (288/72) = 3/4

   So the value of the expression is 3/4.