example
Simplify the expressions:
ⓐ [latex]7\left(18.3 - 21.7\right)[/latex]
ⓑ [latex]\frac{2}{3}\left(8.3 - 3.8\right)[/latex]
Solution
| ⓐ |
|
|
[latex]7\left(18.3 - 21.7\right)[/latex] |
| Simplify inside parentheses. |
[latex]7\left(-3.4\right)[/latex] |
| Multiply. |
[latex]-23.8[/latex] |
| ⓑ |
|
|
[latex]\frac{2}{3}\left(8.3 - 3.8\right)[/latex] |
| Simplify inside parentheses. |
[latex]\frac{2}{3}\left(4.5\right)[/latex] |
| Write [latex]4.5[/latex] as a fraction. |
[latex]\frac{2}{3}\left(\frac{4.5}{1}\right)[/latex] |
| Multiply. |
[latex]\frac{9}{3}[/latex] |
| Simplify. |
[latex]3[/latex] |
example
Simplify each expression:
ⓐ [latex]6\div 0.6+\left(0.2\right)4-{\left(0.1\right)}^{2}[/latex]
ⓑ [latex]{\left(\frac{1}{10}\right)}^{2}+\left(3.5\right)\left(0.9\right)[/latex]
Answer:
Solution
| ⓐ |
|
|
[latex]6\div 0.6+\left(0.2\right)4-{\left(0.1\right)}^{2}[/latex] |
| Simplify exponents. |
[latex]6\div 0.6+\left(0.2\right)4 - 0.01[/latex] |
| Divide. |
[latex]10+\left(0.2\right)4 - 0.01[/latex] |
| Multiply. |
[latex]10+0.8 - 0.01[/latex] |
| Add. |
[latex]10.8 - 0.01[/latex] |
| Subtract. |
[latex]10.79[/latex] |
| ⓑ |
|
|
[latex]{\left(\frac{1}{10}\right)}^{2}+\left(3.5\right)\left(0.9\right)[/latex] |
| Simplify exponents. |
[latex]\frac{1}{100}+\left(3.5\right)\left(0.9\right)[/latex] |
| Multiply. |
[latex]\frac{1}{100}+3.15[/latex] |
| Convert [latex]\frac{1}{100}[/latex] to a decimal. |
[latex]0.01+3.15[/latex] |
| Add. |
[latex]3.16[/latex] |
