Question

Consider the expression 64∙32–3∙3.

(a) what is the value of the expression?
(b) 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 evaluate the expression 64∙32–3∙3, multiply 64 and 32, multiply 3 and 3, then subtract the result of the second multiplication from the result of the first multiplication. The value of the expression is 2039. To place grouping symbols so that the value of the expression is 105, group 64 and 32 together using parentheses, then group 3 and 3 together using parentheses. Finally, subtract the result of the second group from the result of the first group to get 2039.

Step-by-step explanation:

To evaluate the expression 64∙32–3∙3:

1. Multiply 64 and 32 to get 2048.
2. Multiply 3 and 3 to get 9.
3. Subtract 9 from 2048 to get the value of the expression, which is 2039.

To place grouping symbols so that the value of the expression is 105:

1. Group the first 64 and 32 together using parentheses: (64∙32).
2. Group the 3 and 3 together using parentheses: (3∙3).
3. Subtract (3∙3) from (64∙32) to get the value of the expression, which is 2048-9=2039.