This test has nine questions worth 20 points in total and should take about 45 minutes. Show every step. A calculator is not needed. Questions cover writing numbers in scientific notation, comparing them, calculating with them, reading calculator displays, and solving word problems.
Test information
- Grade: Grade 8
- Chapter: Scientific Notation
- Common Core: 8.EE.A.3, 8.EE.A.4
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 2 pts; Question 7: 2 pts; Question 8: 3 pts; Question 9: 3 pts)
Question 1: Large numbers (2 points)
- Write 93,000,000 in scientific notation. (1 point)
- Write 450,000 in scientific notation. (1 point)
Question 2: Small numbers (2 points)
- Write 0.0000062 in scientific notation. (1 point)
- Write 0.0705 in scientific notation. (1 point)
Question 3: Standard form (2 points)
- Write \(4.7\times 10^{6}\) in standard form. (1 point)
- Write \(3.09\times 10^{-4}\) in standard form. (1 point)
Question 4: Calculator display (2 points)
A calculator shows this display.
- Write the value in scientific notation. (1 point)
- Write the value in standard form. (1 point)
Question 5: How many times as large (2 points)
Compare these two quantities.
- How many times as large is the first as the second? Write the answer in scientific notation. (2 points)
Question 6: Multiply and divide (2 points)
- Find \((6\times 10^{4})(3\times 10^{-7})\) in scientific notation. (1 point)
- Find \(\frac{9.6\times 10^{8}}{1.2\times 10^{3}}\) in scientific notation. (1 point)
Question 7: Order and add (2 points)
- Order from least to greatest: \(3.2\times 10^{-4}\), \(1.5\times 10^{-3}\), \(8.9\times 10^{-5}\). (1 point)
- Find \(2.6\times 10^{5}+7.4\times 10^{5}\) in scientific notation. (1 point)
Question 8: Phone storage (3 points)
Mia’s phone has \(1.28\times 10^{11}\) bytes of storage. One video uses \(8\times 10^{8}\) bytes.
- Write an expression for the number of videos that fit. (1 point)
- Find the number in scientific notation. (1 point)
- Write the number in standard form. (1 point)
Question 9: Trip to the Sun (3 points)
A spacecraft travels at \(3\times 10^{4}\) miles per hour toward the Sun, which is \(9.3\times 10^{7}\) miles away.
- Find the travel time in hours, in scientific notation. (1 point)
- Convert the time to days. Round to the nearest day. (1 point)
- Write the distance in feet in scientific notation. One mile is 5,280 feet. (1 point)
See every chapter on the Grade 8 math page.