example
Order [latex]({\Large\frac{3}{8}}) (0.4)[/latex] using [latex]<[/latex]; or [latex]\text{>.}[/latex]
Solution
|
[latex]({\Large\frac{3}{8}}) (0.4)[/latex] |
| Convert [latex]\Large\frac{3}{8}[/latex] to a decimal. |
[latex](0.375) (0.4)[/latex] |
| Compare [latex]0.375[/latex] to [latex]0.4[/latex] |
[latex]0.375<0.4[/latex] |
| Rewrite with the original fraction. |
[latex]{\Large\frac{3}{8}}<0.4[/latex] |
example
Order [latex](-0.5) (-{\Large\frac{3}{4}})[/latex] using [latex]<[/latex]; or [latex]\text{>.}[/latex]
Answer:
Solution
|
[latex](-0.5) (-{\Large\frac{3}{4}})[/latex] |
| Convert [latex]-{\Large\frac{3}{4}}[/latex] to a decimal. |
[latex](-0.5) (- 0.75)[/latex] |
| Compare [latex]-0.5[/latex] to [latex]-0.75[/latex] . |
[latex]-0.5>-0.75[/latex] |
| Rewrite the inequality with the original fraction. |
[latex]-0.5>-{\Large\frac{3}{4}}[/latex] |
example
Write the numbers [latex]{\Large\frac{13}{20}},0.61,{\Large\frac{11}{16}}[/latex] in order from smallest to largest.
Answer:
Solution
|
[latex]{\Large\frac{13}{20}},0.61,{\Large\frac{11}{16}}[/latex] |
| Convert the fractions to decimals. |
[latex]0.65,0.61,0.6875[/latex] |
| Write the smallest decimal number first. |
[latex]0.61[/latex] , _____ , _____ |
| Write the next larger decimal number in the middle place. |
[latex]0.61,0.65[/latex] , _____ |
| Write the last decimal number (the larger) in the third place. |
[latex]0.61,0.65,0.6875[/latex] |
| Rewrite the list with the original fractions. |
[latex]0.61,{\Large\frac{13}{20}},{\Large\frac{11}{16}}[/latex] |
