Question

Insert grouping symbols in the expression 5∙6-62 to make each statement true.

3∙4-8÷2=2
3∙4-8÷2=0
3∙4-8÷2=-6
3∙4-8÷2=8

Answer 1

To achieve the four given results, we insert parentheses in different ways to change the order of operations for the expression 3⋅4-8÷2. Correct application of algebraic operations is key in getting the intended results, which are 2, 0, -6, and 8, depending on where the parentheses are placed.

Step-by-step explanation:

To solve the expression 3⋅4-8÷2 and achieve different results by inserting grouping symbols, we can follow these steps:

• To make the statement true such that 3⋅4-8÷2=2, insert parentheses like this: ((3⋅4)-8)÷2 = 2.
• To make the statement true such that 3⋅4-8÷2=0, insert parentheses like this: (3⋅(4-8))÷2 = 0.
• To make the statement true such that 3⋅4-8÷2=-6, insert parentheses like this: 3⋅(4-(8÷2)) = -6.
• To make the statement true such that 3⋅4-8÷2=8, insert parentheses like this: 3⋅4-(8÷2) = 8.

The placement of parentheses changes the order of operations and can lead to different results, demonstrating the importance of correctly applying operations in algebraic expressions.