Scientific Notation

How would you write 0.0005 in scientific notation?

• 50 x 10⁵

• 5 x 10^-4

• 5 x 10³

• 4 x 10⁴

Answer explanation

To convert 0.0005 to scientific notation, move the decimal point 4 places to the right, giving 5. The exponent is -4 because we moved left. Thus, 0.0005 = 5 x 10^-4, making the correct choice 5 x 10^-4.

How do you write
1001
in scientific notation?

• 1.0001 x 10⁴

• 1.01 x 10⁵

• 1.001 x 10³

• 10.1 x 10³

Answer explanation

To write 1001 in scientific notation, move the decimal point three places to the left, giving 1.001. This is multiplied by 10 raised to the power of 3, resulting in 1.001 x 10^3, which is the correct choice.

Which one of these is in scientific notation?

• 8.987000

• 8.98 x 10⁶

• 80.987 x 10

• 8.98⁶

Answer explanation

The correct choice, 8.98 x 10⁶, is in scientific notation, which expresses numbers as a product of a coefficient and a power of ten. The other options do not follow this format.

Write 0.000972 in scientific notation.

• 9.72 x 10^-4

• 9.72 x 10^-3

• 972 x 10^-4

• 9.72 x 10⁴

Answer explanation

To convert 0.000972 to scientific notation, move the decimal point 4 places to the right, giving 9.72. This results in 9.72 x 10^-4, which is the correct choice. The other options do not represent the number accurately.

If the exponent on your power of 10 is positive, is your number larger or smaller than 10?

• Larger

• Smaller

Answer explanation

If the exponent on your power of 10 is positive, the value is greater than 10. For example, 10^1 = 10, 10^2 = 100, etc. Thus, the correct answer is 'Larger'.

7.82 x 10^-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

• Large

• Small

• Basic

Answer explanation

The exponent of -6 in scientific notation indicates that the number is very small, as it represents a fraction of a whole. Therefore, the correct answer is 'Small'.

Change from standard form to scientific notation: 12,000,000

• 12.0  x  10⁷

• 0.12  x  10⁷

• 1.2  x  10⁶

• 1.2  x  10⁷

Answer explanation

To convert 12,000,000 to scientific notation, move the decimal point 7 places to the left, resulting in 1.2. Thus, it is expressed as 1.2 x 10^7, making the correct answer 1.2 x 10⁷.

Change from standard form to scientific notation:  450,000

• 4.5  x  10⁵

• 45  x  10⁵

• 4.5  x  10⁴

• 4.5  x  10⁶

Answer explanation

To convert 450,000 to scientific notation, move the decimal point 5 places to the left, resulting in 4.5. Thus, it can be expressed as 4.5 x 10^5, making the correct choice 4.5 x 10⁵.

Change from standard form to scientific notation:  0.000398

• 39.8  x  10^-5

• 3.98  x  10^-5

• 3.98  x  10^-4

• 39.8  x  10^-6

Answer explanation

To convert 0.000398 to scientific notation, move the decimal point 4 places to the right, giving 3.98. This results in 3.98 x 10^-4, as the exponent is negative due to the original number being less than 1.

Is this written in scientific notation?

• Yes, it is in scientific notation!

• No, it's not in scientific notation.

Answer explanation

The correct answer is 'No, it's not in scientific notation.' Scientific notation requires a number to be expressed as a product of a number between 1 and 10 and a power of 10, which is not the case here.