Scientific Notation: Grade 8 Math Test – PDF Download

Grade 8 Scientific Notation Test: questions 1–5

Question 1: Large numbers (2 points)

1. Write 93,000,000 in scientific notation. (1 point)
2. Write 450,000 in scientific notation. (1 point)

Question 2: Small numbers (2 points)

1. Write 0.0000062 in scientific notation. (1 point)
2. Write 0.0705 in scientific notation. (1 point)

Question 3: Standard form (2 points)

1. Write \(4.7\times 10^{6}\) in standard form. (1 point)
2. Write \(3.09\times 10^{-4}\) in standard form. (1 point)

Question 4: Calculator display (2 points)

A calculator shows this display.

1. Write the value in scientific notation. (1 point)
2. Write the value in standard form. (1 point)

Question 5: How many times as large (2 points)

Compare these two quantities.

1. How many times as large is the first as the second? Write the answer in scientific notation. (2 points)

Grade 8 Scientific Notation Test: questions 6–9

Question 6: Multiply and divide (2 points)

1. Find \((6\times 10^{4})(3\times 10^{-7})\) in scientific notation. (1 point)
2. Find \(\frac{9.6\times 10^{8}}{1.2\times 10^{3}}\) in scientific notation. (1 point)

Question 7: Order and add (2 points)

1. Order from least to greatest: \(3.2\times 10^{-4}\), \(1.5\times 10^{-3}\), \(8.9\times 10^{-5}\). (1 point)
2. 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.

1. Write an expression for the number of videos that fit. (1 point)
2. Find the number in scientific notation. (1 point)
3. 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.

1. Find the travel time in hours, in scientific notation. (1 point)
2. Convert the time to days. Round to the nearest day. (1 point)
3. Write the distance in feet in scientific notation. One mile is 5,280 feet. (1 point)

How to use this grade 8 scientific notation test

Take this grade 8 scientific notation test without notes, then grade it with the test answer key out of 20 points.

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Grade 8 Scientific Notation test

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