Significant digits are an important concept in science and mathematics. They are the digits in a number that carry meaning or contribute to the measurement’s precision. Understanding significant digits is crucial for accurate calculations and reporting of results.
A significant digits worksheet is a tool used by students to practice identifying and working with significant digits. These worksheets typically include a series of numbers with varying numbers of significant digits, and students are tasked with identifying the correct number of significant digits in each number.
Practice Problems
1. Identify the number of significant digits in the following numbers:
a) 345.6
b) 0.0034
c) 7000
2. Perform the following calculations and report the answer with the correct number of significant digits:
a) 23.45 + 6.2
b) 5.678 x 4.2
c) 9.003 / 3
3. Round the following numbers to the specified number of significant digits:
a) 56.789 to 3 significant digits
b) 0.001234 to 2 significant digits
c) 7000.0 to 1 significant digit
4. Complete the following conversions with the correct number of significant digits:
a) 1.234 cm to mm
b) 5000 g to kg
c) 0.00567 L to mL
5. Solve the following word problems involving significant digits:
a) A student measures the length of a table as 1.2345 meters. What is the length of the table to the correct number of significant digits?
b) A scientist measures the mass of a sample as 0.00567 grams. What is the mass of the sample to the correct number of significant digits?
c) An engineer calculates the volume of a cylinder as 785.4 cm³. What is the volume of the cylinder to the correct number of significant digits?
These practice problems are designed to reinforce the concept of significant digits and help students improve their skills in working with precision in measurements and calculations.