A combat engineering commander is reviewing the progress of four specialized construction … — Armed Services Vocational Aptitude Battery (ASVAB)

A combat engineering commander is reviewing the progress of four specialized construction teams. The commander needs to prioritize resource drops, starting with the team that has completed the least amount of their assigned sector. Arrange the teams in order from the least portion of their sector completed to the most completed.

1Team Charlie: $0.6$ completed
2Team Alpha: $\frac{5}{8}$ completed
3Team Delta: $\frac{13}{20}$ completed
4Team Bravo: $66\%$ completed

Cevap

The correct sequence from least to most completed is: Team Charlie (

0.6

), Team Alpha (

\frac{5}{8}

), Team Delta (

\frac{13}{20}

), and Team Bravo (

66\%

By converting all values to percentages (

60\%

62.5\%

65\%

, and

66\%

), the relative sizes become immediately clear, allowing them to be ranked precisely from least to greatest.

Adım Adım Çözüm

Identify the objective

We need to order four different numerical formats (fractions, decimals, percentages) from least to greatest.

Comparing mixed formats requires converting them all to a single, consistent format. Percentages are often the easiest format for direct comparison.

Convert Team Charlie's progress to a percentage

0.6 \times 100 = 60\%

Decimals are converted to percentages by multiplying by

100

or moving the decimal point two places to the right.

Convert Team Alpha's progress to a percentage

\frac{5}{8} = 5 \div 8 = 0.625

, which is

62.5\%

Fractions are converted to decimals by dividing the numerator by the denominator, and then to percentages by multiplying by

100

Convert Team Delta's progress to a percentage

\frac{13}{20} = \frac{13 \times 5}{20 \times 5} = \frac{65}{100} = 65\%

Scaling the fraction's denominator to

100

makes it easy to find the equivalent percentage without long division.

Compare and order all percentages from least to greatest

60\% < 62.5\% < 65\% < 66\%

This corresponds directly to Team Charlie, Team Alpha, Team Delta, and Team Bravo.

Anahtar Kavram

Converting fractions and decimals to a uniform format (percentages) in order to compare and rank their values.

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

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