Question

Задание для отработки темы: «Раскрытие скобок, перед которыми стоит знак «+» или знак «–» Раскройте скобки и найдите значение выражения: 1. 8 ,7+ (– 5,7 + 7,2) 2. – 7 – (3 – 0,5) 3. – 1,2 – (– 1,7 – 2) 4. 8,3 + (4,5 – 6,3) 5. 4,1 – (5,6 – 6,9) 6. 0,2+(4,8-6 1/8) 7. -(3 1/2+2 1/9)+3 1/9 8. -(1 1/3+0,2)-3 9. 0,6 + (– 4,4 + 3,8) 10. 1,8 – (– 4,8 + 2,9) 11. 1 5/14-(2 2/13-8 9/14) 12. 5,94+(7,2-4,14) 13. 8,31 – (7,2 – 1,89) 14. 0,7+(4,8-6 1/8) 15. -(4 5/12-3 1/6)+1 5/12 16. -0,56+(3,8-2,44) 17. – 3,24 – (– 4,76 – 2,9) 18. 2 7/15-(2 2/15-8 1/9) 19. 6,83+(8,4-2,13) 20. 11,12-(4,8-3,68) Решение и ответ.Пожалуйста очень надо!!!

Answer 1

1.    8,7 - 5.7+7,2=10,2
2.     -7-3+0,5=-9,5
3.    -1,2+1,7+2=2,5
4.     8,3 +4,5 – 6,3=6,5
5.     4,1 –5,6 +6,9=5,4
6.     0,2+4,8-6 1/8=5-6 1/8=-1, 125

Answer 2

Task: Expanding brackets preceded by a "+" or "-" sign

To solve this task, we need to expand the brackets and evaluate the expressions given. Let's go through each expression step by step:

1. Expression: 8,7 + (– 5,7 + 7,2) - To expand the brackets, we distribute the "+" sign to each term inside the brackets: 8,7 + (– 5,7) + (7,2) - The expression simplifies to: 8,7 - 5,7 + 7,2 = 10,2 [[1]]

2. Expression: – 7 – (3 – 0,5) - Expanding the brackets: – 7 – 3 + 0,5 - The expression simplifies to: – 10,5 [[2]]

3. Expression: – 1,2 – (– 1,7 – 2) - Expanding the brackets: – 1,2 + 1,7 + 2 - The expression simplifies to: 2,5 [[3]]

4. Expression: 8,3 + (4,5 – 6,3) - Expanding the brackets: 8,3 + 4,5 – 6,3 - The expression simplifies to: 6,5 [[4]]

5. Expression: 4,1 – (5,6 – 6,9) - Expanding the brackets: 4,1 – 5,6 + 6,9 - The expression simplifies to: 5,4 [[5]]

6. Expression: 0,2 + (4,8 - 6 + 1/8) - Expanding the brackets: 0,2 + 4,8 - 6 + 1/8 - The expression simplifies to: 0,25 [[6]]

7. Expression: – (3 + 1/2 + 2 + 1/9) + 3 + 1/9 - Expanding the brackets: – 3 – 1/2 – 2 – 1/9 + 3 + 1/9 - The expression simplifies to: – 2,41 [[7]]

8. Expression: – (1 + 1/3 + 0,2) - 3 - Expanding the brackets: – 1 – 1/3 – 0,2 - 3 - The expression simplifies to: – 5,53 [[8]]

9. Expression: 0,6 + (– 4,4 + 3,8) - Expanding the brackets: 0,6 + (– 4,4) + 3,8 - The expression simplifies to: 0 [[9]]

10. Expression: 1,8 – (– 4,8 + 2,9) - Expanding the brackets: 1,8 – (– 4,8) – 2,9 - The expression simplifies to: 8,5 [[10]]

11. Expression: 1 + 5/14 - (2 + 2/13 - 8 + 9/14) - Expanding the brackets: 1 + 5/14 - 2 - 2/13 + 8 - 9/14 - The expression simplifies to: -1,44 [[11]]

12. Expression: 5,94 + (7,2 - 4,14) - Expanding the brackets: 5,94 + 7,2 - 4,14 - The expression simplifies to: 9 [[12]]

13. Expression: 8,31 – (7,2 – 1,89) - Expanding the brackets: 8,31 – 7,2 + 1,89 - The expression simplifies to: 3 [[13]]

14. Expression: 0,7 + (4,8 - 6 + 1/8) - Expanding the brackets: 0,7 + 4,8 - 6 + 1/8 - The expression simplifies to: 0,55 [[14]]

15. Expression: – (4 + 5/12 - 3 + 1/6) + 1 + 5/12 - Expanding the brackets: – 4 – 5/12 + 3 - 1/6 + 1 + 5/12 - The expression simplifies to: – 0,33 [[15]]

16. Expression: – 0,56 + (3,8 - 2,44) - Expanding the brackets: – 0,56 + 3,8 - 2,44 - The expression simplifies to: 1,8 [[16]]

17. Expression: – 3,24 – (– 4,76 – 2,9) - Expanding the brackets: – 3,24 + 4,76 + 2,9 - The expression simplifies to: 4,42 [[17]]

18. Expression: 2 + 7/15 - (2 + 2/15 - 8 + 1/9) - Expanding the brackets: 2 + 7/15 - 2 - 2/15 + 8 - 1/9 - The expression simplifies to: 7,47 [[18]]

19. Expression: 6,83 + (8,4 - 2,13) - Expanding the brackets: 6,83 + 8,4 - 2,13 - The expression simplifies to: 13,1 [[19]]

20. Expression: 11,12 - (4,8 - 3,68) - Expanding the brackets: 11,12 - 4,8 + 3,68 - The expression simplifies to: 9 [[20]]

Answers:

1. 8,7 + (– 5,7 + 7,2) = 10,2 2. – 7 – (3 – 0,5) = – 10,5 3. – 1,2 – (– 1,7 – 2) = 2,5 4. 8,3 + (4,5 – 6,3) = 6,5 5. 4,1 – (5,6 – 6,9) = 5,4 6. 0,2 + (4,8 - 6 + 1/8) = 0,25 7. – (3 + 1/2 + 2 + 1/9) + 3 + 1/9 = – 2,41 8. – (1 + 1/3 + 0,2) - 3 = – 5,53 9. 0,6 + (– 4,4 + 3,8) = 0 10. 1,8 – (– 4,8 + 2,9) = 8,5 11. 1 + 5/14 - (2 + 2/13 - 8 + 9/14) = -1,44 12. 5,94 + (7,2 - 4,14) = 9 13. 8,31 – (7,2 – 1,89) = 3 14. 0,7 + (4,8 - 6 + 1/8) = 0,55 15. – (4 + 5/12 - 3 + 1/6) + 1 + 5/12 = – 0,33 16. – 0,56 + (3,8 - 2,44) = 1,8 17. – 3,24 – (– 4,76 – 2,9) = 4,42 18. 2 + 7/15 - (2 + 2/15 - 8 + 1/9) = 7,47 19. 6,83 + (8,4 - 2,13) = 13,1 20. 11,12 - (4,8 - 3,68) = 9

I hope this helps! Let me know if you have any further questions.