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Mathematics and Science. Chapter 1, Section 4 Page 30. Section 4: Mathematics and Science. What math skills do scientists use in collecting data and making measurements?. Accuracy and Reproducibility. Accuracy: how close a measurement is to the true or actual value.

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mathematics and science

Mathematics and Science

Chapter 1, Section 4

Page 30

section 4 mathematics and science
Section 4:Mathematics and Science
  • What math skills do scientists use in collecting data and making measurements?
accuracy and reproducibility
Accuracy and Reproducibility

Accuracy: how close a measurement is to the true or actual value.

Reproducibility: how close a group of measurements are to one another.

Scientists aim for both accuracy and reproducibility.

This is why scientist do so many trials in an experiment; to check for accuracy and reproducibility.

significant figures
Significant Figures

A measurement should contain only those numbers that are significant.

Significant numbers include all the numbers

you can measure exactly, plus one that

is estimated.

adding and subtracting measurements
Adding and Subtracting Measurements

When you add or subtract measurements, your answers should have only the same number of decimal places as the measurement with the least number of decimal places.

6.78 cm (2 decimal places)

+ 23.5 cm (1 decimal place)

30.28 cm = 30.3 cm (1 decimal place)

multiplying measurements
Multiplying Measurements

When you multiply measurements, your answers can have only the same number of significant figures as the measurement with the fewest significant figures.

To find the area of a surface, multiply its length by its width. Suppose a sheet of paper measures 27.5 cm by 21.6 cm.

Area = 27.5 cm x 21.6 cm = 594 cm2

Practice Problem

What is the area of a ticket stub that measures 3.5 cm by 2.2 cm?

3.5 cm x 2.2 cm = 7.7 cm2

links on math and science
Links on Math and Science
  • Click the SciLinks button for links on math and science.