Scale, Proportion, and Quantity Flashcards

Which of the following best explains why scientists use scientific notation?

Answer: To express very large or very small numbers in a compact and comparable form

Scientific notation expresses numbers as a value between 1 and 10 multiplied by a power of 10, making extreme values easier to write, read, and compare.

A fossil is found to be 65,000,000 years old. In scientific notation, this age is written as:

Answer: 6.5 × 10⁷ years

65,000,000 = 6.5 × 10⁷; the decimal is placed after the first significant digit, requiring an exponent of 7.

Which of the following is the most appropriate tool for accurately measuring the volume of a liquid in a chemistry experiment?

Answer: Graduated cylinder

A graduated cylinder is specifically designed to measure liquid volume, with graduated markings indicating precise volume levels.

Arizona's population is approximately 7 million and New York's population is approximately 20 million. About how many times larger is New York's population?

Answer: About 3 times larger

20 million ÷ 7 million ≈ 2.86, which rounds to approximately 3 times larger.

Why is it important to consider the scale of axes when interpreting a scientific graph?

Answer: The scale affects how data is visually represented and can influence interpretation of trends

The scale of axes determines how data appears visually; a compressed or stretched scale can make trends appear steeper, flatter, or misleadingly significant.

If the speed of light is approximately 3 × 10⁸ m/s, how far does light travel in 10 seconds?

Answer: 3 × 10⁹ meters

Distance = speed × time = 3 × 10⁸ m/s × 10 s = 3 × 10⁹ meters.

Which of the following best describes the concept of 'proportion' in a scientific context?

Answer: A consistent ratio or relationship between two quantities

Proportion in science refers to a consistent ratio between quantities, such that when one changes, the other changes by a predictable relative amount.