Question

Consider the expression 6 4∙32–3∙3.

show where to place grouping symbols so that the value of the expression is 105. show how the value of the expression changes to 105.

Answer 1

To place grouping symbols in the expression 6 4∙32–3∙3 so that its value is 105, follow the steps: evaluate the multiplication and division from left to right, substitute the values, and evaluate the subtraction.

Step-by-step explanation:

To place grouping symbols in the expression 6 4∙32–3∙3 so that its value is 105, we can follow these steps:

1. First, evaluate the multiplication and division within the expression, from left to right. Multiply 4 and 32 to get 128. Divide 3 and 3 to get 1.
2. Next, substitute the values into the expression: 6 128 - 1.
3. Finally, evaluate the subtraction: 6 128 - 1 = 768 - 1 = 767.

Therefore, placing grouping symbols in the expression as ((6 4)∙32)–(3∙3) will not result in a value of 105.