Decimal fractions (tenths, hundredths) Transitional Reasoning Practice

Questions

1. 1.

   In a robotics competition, four teams program their rovers to stop as close to a target line as possible, and the team with the smallest stopping error wins the award. The judges record the stopping error for Team Alpha as $\frac{3}{10}$ meter, Team Beta as $\frac{28}{100}$ meter, Team Gamma as $0.35$ meter, and Team Delta as $0.06$ meter. Which team wins the award, and what is its stopping error expressed as a decimal fraction with a denominator of 100?

   • A) Team Delta, with a stopping error of $\frac{6}{100}$ meter
   • B) Team Alpha, with a stopping error of $\frac{30}{100}$ meter
   • C) Team Beta, with a stopping error of $\frac{28}{100}$ meter
   • D) Team Gamma, with a stopping error of $\frac{35}{100}$ meter
2. 2.

   A carpenter needs to select a wooden dowel with a thickness strictly between $\frac{55}{100}$ centimeter and $\frac{7}{10}$ centimeter to fit into a pre-drilled groove. The workshop inventory lists four available dowels with different measured thicknesses. Which of the following dowels has a thickness that falls within this specified range?

   • A) Dowel 1, with a thickness of $\frac{5}{10}$ centimeter
   • B) Dowel 2, with a thickness of $\frac{74}{100}$ centimeter
   • C) Dowel 3, with a thickness of $\frac{7}{100}$ centimeter
   • D) Dowel 4, with a thickness of $\frac{6}{10}$ centimeter
3. 3.

   An artisan is crafting two decorative mosaic panels for a cultural center. Panel A requires $\frac{8}{10}$ of a kilogram of colored glass pieces, while Panel B requires $\frac{53}{100}$ of a kilogram of colored glass pieces. How much more colored glass does Panel A require than Panel B, expressed as both a decimal fraction with a denominator of 100 and as a decimal?

   • A) $\frac{45}{100}$ kg and 0.45 kg
   • B) $\frac{37}{100}$ kg and 0.37 kg
   • C) $\frac{133}{100}$ kg and 1.33 kg
   • D) $\frac{27}{100}$ kg and 0.27 kg
4. 4.

   A botanist records the weekly growth of a sunflower seedling during an experiment. In the first week, the seedling grows $\frac{3}{10}$ of a meter; in the second week, it grows $\frac{14}{100}$ of a meter; and in the third week, it grows $\frac{9}{100}$ of a meter. Which option correctly represents the total growth of the seedling over these three weeks as both a decimal fraction and a decimal?

   • A) $\frac{26}{100}$ meter and 0.26 meter
   • B) $\frac{44}{100}$ meter and 0.44 meter
   • C) $\frac{53}{10}$ meter and 5.3 meters
   • D) $\frac{53}{100}$ meter and 0.53 meter
5. 5.

   During a science lab, a student drives a motorized toy car along a 1-meter test track that is divided into hundredths. The car travels $\frac{6}{10}$ of the track on its first run and an additional $\frac{25}{100}$ of the track on its second run. What portion of the track remains for the car to reach the 1-meter finish line, expressed as a decimal fraction and as a decimal?

   • A) $\frac{85}{100}$, which is 0.85 of the track
   • B) $\frac{15}{100}$, which is 0.15 of the track
   • C) $\frac{69}{100}$, which is 0.69 of the track
   • D) $\frac{35}{100}$, which is 0.35 of the track

Answers and step-by-step solutions appear after you finish the test.