Core 8 - Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a small decimal number to scientific notation?

Back

To convert a small decimal number to scientific notation, move the decimal point to the right until you have a number between 1 and 10. Count the number of places you moved the decimal; this will be a negative exponent of 10.

Front

Convert 0.0005 to scientific notation.

Back

5 x 10^-4

Front

What is the standard form of 3.97 x 10^-2?

Back

0.0397

Front

How do you convert a large whole number to scientific notation?

Back

To convert a large whole number to scientific notation, move the decimal point to the left until you have a number between 1 and 10. Count the number of places you moved the decimal; this will be a positive exponent of 10.

Front

Convert 12,000,000 to scientific notation.

Back

1.2 x 10^7

Front

Convert 450,000 to scientific notation.

Back

4.5 x 10^5

Front

What is the difference between standard form and scientific notation?

Back

Standard form is the usual way of writing numbers, while scientific notation is a method of writing numbers that makes it easier to handle very large or very small values.

Front

Which of the following is in scientific notation: 8.98 x 10^6 or 9000000?

Back

8.98 x 10^6 is in scientific notation.

Front

What is the exponent in the scientific notation 5 x 10^-4?

Back

The exponent is -4.