Math Problem Statement

1. Накресліть у зошиті та заповніть таблицю 9. 2. Обчисліть: 1) (| -11 | - | -12 | : 3) : |(21 : | -7 | + | 5/2 | 1,6 |); 2) | -25 | : | -5 | + | -7/3 | 3/2 | + | -0.5 |.; 3. Чи існує таке число a, що: 1) |a| = -|a| = | -a |; 2) |a| = -|a|? Якщо так, то навести приклад. 4. Розв'яжіть рівняння: 1) |x| - 70 = 30; 2) |x| + 55 = 68; 3) |x| - 32 = 79; 4) | -x | = 54,9; 5) |x| = -4; 6) |x| = -12.

Solution

This image contains a set of mathematical tasks related to absolute values, equations, and properties of numbers. I'll break down the tasks for you:

  1. Table Completion: The first task involves completing a table, but the exact details of the table are not visible to me. It seems to involve calculating the sum of absolute values of xx and yy for various values in the table. You might need to compute expressions of the form x+y|x| + |y|.

  2. Compute the following expressions:

      1. ( | -11 | - | -12 | : 3 | (

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Math Problem Analysis

Mathematical Concepts

Absolute Values
Equations
Properties of Absolute Values

Formulas

|x|
x = a, |x| = |a|

Theorems

Properties of absolute values
Solving equations with absolute values

Suitable Grade Level

Grades 7-9