Textbook Question
For each number, underline the zeroes that are significant and draw an x through the zeroes that are not. a. 1,050,501 km b. 0.0020 m c. 0.000000000000002 s d. 0.001090 cm
1
views
Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 78
How many significant figures are in each number? d. 1.563300×1011 m
Verified step by step guidance1
Identify the significant figures in the number 1.563300.
Count all the non-zero digits, which are always significant.
Include any zeros between non-zero digits, as they are also significant.
Consider any trailing zeros in the decimal portion, as they are significant.
The number 1.563300 has 7 significant figures.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
1mWas this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Significant Figures
Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements and calculations in scientific contexts.
Recommended video:
Guided course
01:09
Significant Figures Example
Scientific Notation
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is represented as a product of a number between 1 and 10 and a power of ten. In the context of significant figures, the digits in the coefficient of the scientific notation are counted to determine the total number of significant figures.
Recommended video:
Guided course
02:50Standard Notation to Scientific Notation
Rules for Counting Significant Figures
There are specific rules for counting significant figures in a number. For example, all non-zero digits are significant, leading zeros are not, and trailing zeros in a decimal number are significant. When a number is expressed in scientific notation, only the digits in the coefficient are considered significant, which simplifies the process of determining the total count.
Recommended video:
Guided course
04:40Significant Figures Rules
Related Practice
Textbook Question
For each number, underline the zeroes that are significant and draw an x through the zeroes that are not. a. 180,701 mi b. 0.001040 m c. 0.005710 km d. 90,201 m
Textbook Question
How many significant figures are in each number? a. 0.000312 m b. 312,000 s c. 3.12 × 105 km d. 13,127 s e. 2000
Textbook Question
How many significant figures are in each number? c. 108,700 km
Textbook Question
Which numbers are exact (and therefore have an unlimited number of significant figures)? a. π = 3.14 c. EPA gas mileage rating of 26 miles per gallon d. 1 gross = 144
2
views