Evaluate the following. $$ 6.7+2.89-0.4^{2} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 6.7+2.89-0.4^{2} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$6.7+2.89-0.4^{2}$$
- step1: Convert the expressions:
  $$6.7+2.89-\left(\frac{2}{5}ight)^{2}$$
- step2: Evaluate the power:
  $$6.7+2.89-\frac{4}{25}$$
- step3: Add the numbers:
  $$9.59-\frac{4}{25}$$
- step4: Convert the expressions:
  $$\frac{959}{100}-\frac{4}{25}$$
- step5: Reduce fractions to a common denominator:
  $$\frac{959}{100}-\frac{4	imes 4}{25	imes 4}$$
- step6: Multiply the numbers:
  $$\frac{959}{100}-\frac{4	imes 4}{100}$$
- step7: Transform the expression:
  $$\frac{959-4	imes 4}{100}$$
- step8: Multiply the numbers:
  $$\frac{959-16}{100}$$
- step9: Subtract the numbers:
  $$\frac{943}{100}$$
The result of $$6.7+2.89-0.4^{2}$$ is $$9.43$$.
The result is 9.43.

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