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Обучение Руководства > Prealgebra

Comparing Decimals and Fractions

Learning Outcomes

  • Order fractions and decimals by writing fractions as decimals
 

Order Decimals and Fractions

In Decimals, we compared two decimals and determined which was larger. To compare a decimal to a fraction, we will first convert the fraction to a decimal and then compare the decimals.  

example

Order (38)(0.4)(\frac{3}{8}) (0.4) using <<; or >.\text{>.} Solution
(38)(0.4)(\frac{3}{8}) (0.4)
Convert 38\frac{3}{8} to a decimal. (0.375)(0.4)(0.375) (0.4)
Compare 0.3750.375 to 0.40.4 0.375<0.40.375<0.4
Rewrite with the original fraction. 38<0.4\frac{3}{8}<0.4
 

try it

[ohm_question]146286[/ohm_question]
  When ordering negative numbers, remember that larger numbers are to the right on the number line and any positive number is greater than any negative number.

example

Order (−0.5)(−34)(-0.5) (-\frac{3}{4}) using <<; or >.\text{>.}

Answer: Solution

(−0.5)(−34)(-0.5) (-\frac{3}{4})
Convert −34-\frac{3}{4} to a decimal. (−0.5)(−0.75)(-0.5) (- 0.75)
Compare −0.5-0.5 to −0.75-0.75 . −0.5>−0.75-0.5>-0.75
Rewrite the inequality with the original fraction. −0.5>−34-0.5>-\frac{3}{4}

 

try it

[ohm_question]146290[/ohm_question]
 

example

Write the numbers 1320,0.61,1116\frac{13}{20},0.61,\frac{11}{16} in order from smallest to largest.

Answer: Solution

1320,0.61,1116\frac{13}{20},0.61,\frac{11}{16}
Convert the fractions to decimals. 0.65,0.61,0.68750.65,0.61,0.6875
Write the smallest decimal number first. 0.61,____,_____
Write the next larger decimal number in the middle place. 0.61,0.65,_____
Write the last decimal number (the larger) in the third place. 0.61,0.65,0.68750.61,0.65,0.6875
Rewrite the list with the original fractions. 0.61,1320,11160.61,\frac{13}{20},\frac{11}{16}

 

try it

[ohm_question]146294[/ohm_question]
To see more examples, watch this video example. https://youtu.be/f4theaYuVuo

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