Scientific Notation Exam: Quiz!

1. What is the scientific notation for 3 500 000 000?

3.5 e9

3 e9

3.5 e8

3.500000000 e9

The scientific notation is a way to express very large or very small numbers. In this case, the number 3,500,000,000 can be written as 3.5 multiplied by 10 raised to the power of 9, which is represented as 3.5e9.

Explanation

The scientific notation is a way to express very large or very small numbers. In this case, the number 3,500,000,000 can be written as 3.5 multiplied by 10 raised to the power of 9, which is represented as 3.5e9.

2. Find the scientific form for 35.

3.5 e9

3 e9

3.5 e1

3.5 e-1

The scientific form for a number is typically written in the form of a decimal number multiplied by a power of 10. In this case, the number 35 can be written as 3.5 multiplied by 10 raised to the power of 1. Therefore, the scientific form for 35 is 3.5 e1.

Explanation

The scientific form for a number is typically written in the form of a decimal number multiplied by a power of 10. In this case, the number 35 can be written as 3.5 multiplied by 10 raised to the power of 1. Therefore, the scientific form for 35 is 3.5 e1.

3. Is the following numbers in proper scientific notation? 23.2 x 10²

Yes, this is proper scientific notation

No, this is not proper scientific notation

2.32 x 10^3

Explanation

2.32 x 10^3

4. Write the number 0.0000045 in scientific notation.

4.5 e6

0.45 e

4.5 e-6

45,000

The given number, 0.0000045, can be expressed in scientific notation as 4.5 e-6. In scientific notation, the number is written in the form of a decimal number between 1 and 10 (in this case, 4.5) multiplied by a power of 10 (in this case, -6). The negative exponent indicates that the decimal point is moved 6 places to the left, resulting in a smaller number.

Explanation

The given number, 0.0000045, can be expressed in scientific notation as 4.5 e-6. In scientific notation, the number is written in the form of a decimal number between 1 and 10 (in this case, 4.5) multiplied by a power of 10 (in this case, -6). The negative exponent indicates that the decimal point is moved 6 places to the left, resulting in a smaller number.

5. Write the number 4500000 in scientific notation.

4.5 e6

45 e5

4.5 e-6

45,000

The correct answer is 4.5 e6 because scientific notation is used to represent very large or very small numbers. In this case, 4500000 is written as 4.5 multiplied by 10 raised to the power of 6. This means that the decimal point is moved 6 places to the right, resulting in a number that is 4.5 million.

Explanation

The correct answer is 4.5 e6 because scientific notation is used to represent very large or very small numbers. In this case, 4500000 is written as 4.5 multiplied by 10 raised to the power of 6. This means that the decimal point is moved 6 places to the right, resulting in a number that is 4.5 million.

6. What is the standard form for 9.4 e-3?

9400

0.0094

9.400

0.094

The standard form for 9.4 e-3 is 0.0094. In scientific notation, the "e" represents "times ten raised to the power of." So, 9.4 e-3 means 9.4 times ten raised to the power of -3, which is equivalent to 0.0094.

Explanation

The standard form for 9.4 e-3 is 0.0094. In scientific notation, the "e" represents "times ten raised to the power of." So, 9.4 e-3 means 9.4 times ten raised to the power of -3, which is equivalent to 0.0094.

7. Which number is smaller? 9.34e-4 or 3.2e-3

9.34e-4

3.2e-3

The given question asks which number is smaller between 9.34e-4 and 3.2e-3. In scientific notation, both numbers are written in the form of a decimal multiplied by a power of 10. To compare the two numbers, we can ignore the power of 10 and focus on the decimal part. In this case, 9.34e-4 has a smaller decimal value compared to 3.2e-3. Therefore, 9.34e-4 is the smaller number.

Explanation

The given question asks which number is smaller between 9.34e-4 and 3.2e-3. In scientific notation, both numbers are written in the form of a decimal multiplied by a power of 10. To compare the two numbers, we can ignore the power of 10 and focus on the decimal part. In this case, 9.34e-4 has a smaller decimal value compared to 3.2e-3. Therefore, 9.34e-4 is the smaller number.

8. The E coli bacterium is about 5 x 10^-7 meters wide. A hair is about 1.7 x 10^-5 meters wide. Which is wider, the bacterium or the hair?

Bacterium

Hair

The hair is wider than the bacterium. The given measurements indicate that the hair is approximately 34 times wider than the bacterium.

Explanation

The hair is wider than the bacterium. The given measurements indicate that the hair is approximately 34 times wider than the bacterium.

9. Check ALL the ones that are correctly in scientific notation:

93 e2

0.93 e2

9.3 e2

4 e13

9.4 e-12

All of the given numbers are correctly written in scientific notation. 93 e2 is equivalent to 93 x 10^2, 0.93 e2 is equivalent to 0.93 x 10^2, 9.3 e2 is equivalent to 9.3 x 10^2, 4 e13 is equivalent to 4 x 10^13, and 9.4 e-12 is equivalent to 9.4 x 10^-12.

Explanation

All of the given numbers are correctly written in scientific notation. 93 e2 is equivalent to 93 x 10^2, 0.93 e2 is equivalent to 0.93 x 10^2, 9.3 e2 is equivalent to 9.3 x 10^2, 4 e13 is equivalent to 4 x 10^13, and 9.4 e-12 is equivalent to 9.4 x 10^-12.

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10. Check ALL the following that are correctly in scientific notation:

93 x 10^2

0.93 x 10^2

9.3 x 10^2

4 x 10^13

9.4 x 10^-12

The given answer correctly identifies the numbers that are written in scientific notation. Scientific notation is a way of expressing numbers as a product of a decimal number between 1 and 10, and a power of 10. In the answer, 9.3 x 10^2, 4 x 10^13, and 9.4 x 10^-12 are all written in this format. The other options, 93 x 10^2 and 0.93 x 10^2, are not in scientific notation because the decimal number is not between 1 and 10.

Explanation

The given answer correctly identifies the numbers that are written in scientific notation. Scientific notation is a way of expressing numbers as a product of a decimal number between 1 and 10, and a power of 10. In the answer, 9.3 x 10^2, 4 x 10^13, and 9.4 x 10^-12 are all written in this format. The other options, 93 x 10^2 and 0.93 x 10^2, are not in scientific notation because the decimal number is not between 1 and 10.

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