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Zorluk: ZorFractions, Decimals, and Percentages

Four prototype solar cells are tested for their efficiency in converting solar energy into electricity. The efficiency of each solar cell is recorded as follows:

* Cell W: 425\frac{4}{25} of the incoming energy is converted.
* Cell X: 16.5%16.5\% of the incoming energy is converted.
* Cell Y: 0.16050.1605 of the incoming energy is converted.
* Cell Z: 1380\frac{13}{80} of the incoming energy is converted.

Based on this data, how should these solar cells be ordered from least efficient to most efficient?

  1. 1Cell W: 425\frac{4}{25}
  2. 2Cell Y: 0.16050.1605
  3. 3Cell Z: 1380\frac{13}{80}
  4. 4Cell X: 16.5%16.5\%

Cevap

The correct ordering from least efficient to most efficient is Cell W, Cell Y, Cell Z, and Cell X.
Converting all efficiency values to decimals facilitates comparison. Cell W is 425=0.1600\frac{4}{25} = 0.1600. Cell Y is 0.16050.1605. Cell Z is 1380=0.1625\frac{13}{80} = 0.1625. Cell X is 16.5%=0.165016.5\% = 0.1650. Comparing these decimals shows that 0.1600<0.1605<0.1625<0.16500.1600 < 0.1605 < 0.1625 < 0.1650, which matches the order: Cell W, Cell Y, Cell Z, Cell X.

Adım Adım Çözüm

1
Convert the efficiency of Cell W to a decimal.
425=0.16=0.1600\frac{4}{25} = 0.16 = 0.1600
To easily compare the values, convert the fraction to a decimal by dividing the numerator by the denominator.
2
Convert the efficiency of Cell X to a decimal.
16.5%=0.165=0.165016.5\% = 0.165 = 0.1650
Convert the percentage to a decimal by dividing by 100.
3
Convert the efficiency of Cell Z to a decimal.
1380=0.1625\frac{13}{80} = 0.1625
Divide 13 by 80 to obtain its decimal representation.
4
Compare all four decimal values: 0.16000.1600 (Cell W), 0.16500.1650 (Cell X), 0.16050.1605 (Cell Y), and 0.16250.1625 (Cell Z).
0.1600<0.1605<0.1625<0.16500.1600 < 0.1605 < 0.1625 < 0.1650
Align the decimals by place value to determine their correct ascending order.

Anahtar Kavram

Comparing and ordering fractions, decimals, and percentages by converting them to a common format (decimals).
Tahmini Süre:1m 30s
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Konular

Fractions, Decimals, and Percentages

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