Scientific Notation! Math Trivia Questions Quiz

1) Express

5.9 x 10 cubed

in standard notation.

0.00059

0.0059

5900

59,000

The given answer, 5900, is the standard notation for the number 0.0059. It is obtained by moving the decimal point four places to the right.

Explanation

The given answer, 5900, is the standard notation for the number 0.0059. It is obtained by moving the decimal point four places to the right.

2) Express

5.43 space x space 10 to the power of minus 4 end exponent

in standard form.

54,300

0.00543

5430

0.000543

To express a number in standard form, we need to write it in the form A × 10^B, where A is a number between 1 and 10, and B is an integer. In the given answer, 0.000543 can be written as 5.43 × 10^-4. This is because 0.000543 can be expressed as 5.43 multiplied by 10^-4, where 10^-4 is equivalent to dividing the number by 10,000.

Explanation

To express a number in standard form, we need to write it in the form A × 10^B, where A is a number between 1 and 10, and B is an integer. In the given answer, 0.000543 can be written as 5.43 × 10^-4. This is because 0.000543 can be expressed as 5.43 multiplied by 10^-4, where 10^-4 is equivalent to dividing the number by 10,000.

3) Express 0.000498 in scientific notation.

To express 0.000498 in scientific notation, we move the decimal point four places to the right to get 4.98. Since we moved the decimal point to the right, the exponent is negative, so the scientific notation for 0.000498 is 4.98 x 10^-4.

Explanation

To express 0.000498 in scientific notation, we move the decimal point four places to the right to get 4.98. Since we moved the decimal point to the right, the exponent is negative, so the scientific notation for 0.000498 is 4.98 x 10^-4.

4) Arrange the following numbers in order from least to greatest.

3.09 x 10 cubed comma space

2.1 x 10 to the power of 4

,

3.5 x 10 cubed

,

2.04 x 10 to the power of 4

, , ,

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Explanation

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5) Express 4173 in scientific notation.

4173 in scientific notation is expressed as 4.173 x 10^3. This is because scientific notation is a way of expressing numbers that are very large or very small in a more compact form. In this case, 4173 is written as 4.173 with the decimal point shifted three places to the left, and then multiplied by 10 raised to the power of 3.

Explanation

4173 in scientific notation is expressed as 4.173 x 10^3. This is because scientific notation is a way of expressing numbers that are very large or very small in a more compact form. In this case, 4173 is written as 4.173 with the decimal point shifted three places to the left, and then multiplied by 10 raised to the power of 3.