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Pay close attention to the order of operations.
2.016
According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
For the given expression, this means evaluating the exponent first. 23.98- 1.7^2*7.6
Then we place the decimal point in the product by counting the number of decimal places in each factor.
We found that the product is 2.89. 23.98- (1.7* 1.7)*7.6=23.98- 2.89*7.6 We can find the other product in a similar way. First, we multiply without decimal points, 289 * 76=21964. Now we will place the decimal point.
We found that the other product is 21.964. Let's finish evaluating the expression. 23.98- 2.89*7.6=23.98- 21.964=2.016 The expression is equal to 2.016.