Math: Scientific Notation Worksheet

Question 1

Write 4,500 in scientific notation.

Accepted Answer

The number 4,500 in scientific notation is 4.5 x 10^3 because the decimal moves 3 places to the left.

Question 2

Write 0.0072 in scientific notation.

Accepted Answer

The number 0.0072 in scientific notation is 7.2 x 10^-3 because the decimal moves 3 places to the right to make 7.2.

Question 3

Write 8.3 x 10^5 in standard form.

Accepted Answer

The number 8.3 x 10^5 in standard form is 830,000 because the decimal moves 5 places to the right.

Question 4

Write 6.1 x 10^-4 in standard form.

Accepted Answer

The number 6.1 x 10^-4 in standard form is 0.00061 because the decimal moves 4 places to the left.

Question 5

Write 92,000,000 in scientific notation.

Accepted Answer

The number 92,000,000 in scientific notation is 9.2 x 10^7 because the decimal moves 7 places to the left.

Question 6

Write 0.00000045 in scientific notation.

Accepted Answer

The number 0.00000045 in scientific notation is 4.5 x 10^-7 because the decimal moves 7 places to the right.

Question 7

Which number is greater: 3.2 x 10^4 or 3.2 x 10^5? Explain.

Accepted Answer

The greater number is 3.2 x 10^5 because both numbers have the same first factor, and 10^5 is 10 times larger than 10^4.

Question 8

Which number is smaller: 7.9 x 10^-2 or 7.9 x 10^-5? Explain.

Accepted Answer

The smaller number is 7.9 x 10^-5 because a more negative exponent means the decimal value is smaller when the first factors are the same.

Question 9

Write 5,670,000,000 in scientific notation.

Accepted Answer

The number 5,670,000,000 in scientific notation is 5.67 x 10^9 because the decimal moves 9 places to the left.

Question 10

Write 0.00032 in scientific notation.

Accepted Answer

The number 0.00032 in scientific notation is 3.2 x 10^-4 because the decimal moves 4 places to the right.

Question 11

Write 1.04 x 10^6 in standard form.

Accepted Answer

The number 1.04 x 10^6 in standard form is 1,040,000 because the decimal moves 6 places to the right.

Question 12

Write 9.8 x 10^-3 in standard form.

Accepted Answer

The number 9.8 x 10^-3 in standard form is 0.0098 because the decimal moves 3 places to the left.

Question 13

Is 12.4 x 10^3 written correctly in scientific notation? If not, rewrite it correctly.

Accepted Answer

No, 12.4 x 10^3 is not written correctly because the first factor must be less than 10. The correct scientific notation is 1.24 x 10^4.

Question 14

Is 0.6 x 10^8 written correctly in scientific notation? If not, rewrite it correctly.

Accepted Answer

No, 0.6 x 10^8 is not written correctly because the first factor must be at least 1. The correct scientific notation is 6 x 10^7.

Question 15

A bacterium is 0.000005 meters long. Write this length in scientific notation.

Accepted Answer

The length in scientific notation is 5 x 10^-6 meters because the decimal moves 6 places to the right to make 5.

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