Question

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Answer 1

The numeric value of the given expression is as follows:

121/900.

Numeric value of expression

The expression is defined as follows:

$\left(-\frac{1}{3} + 0.6\left(-\frac{1}{2}\right) + 1\right)^2$

The parenthesis take precedence. If there are more than one parenthesis, the inside one takes precedence.

The fraction equivalent of 0.6 is of 3/5, hence:

$\left(-\frac{1}{3} + \frac{3}{5}\left(-\frac{1}{2}\right) + 1\right)^2$

Solving the internal parenthesis, the expression is:

$\left(-\frac{1}{3} - \frac{3}{10} + 1\right)^2$

The least common multiple of 3, 10 and 1 is of 30, hence:

$\left(-\frac{1}{3} - \frac{3}{10} + 1\right)^2 = \left(\frac{-10 - 9 + 30}{30}\right)^2 = \left(\frac{11}{30}\right)^2$

To find the square of the fraction, we find the square of the numerator and the denominator, hence the numeric value of the expression is:

121/900.

Missing information

The expression is:

$\left(-\frac{1}{3} + 0.6\left(-\frac{1}{2}\right) + 1\right)^2$

More can be learned about the numeric value of an expression at brainly.com/question/4344214

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