Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, typically in the form 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

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 becomes a negative exponent of 10.

Front

Convert 0.000398 to scientific notation.

Back

3.98 x 10^-4

Front

Convert 0.000457 to scientific notation.

Back

4.57 x 10^-4

Front

What does a negative exponent in scientific notation indicate?

Back

It indicates that the original number is a small number (less than 1).

Front

Convert 6.7 x 10^1 to standard form.

Back

67

Front

Which is larger: 8.7 x 10^3 or 3 x 10^4?

Back

3 x 10^4 is larger.

Front

What is the smallest number among 8.7 x 10^3, 3 x 10^4, 1.3 x 10^8, and 9 x 10^2?

Back

9 x 10^2 is the smallest.

Front

How do you express 670 in scientific notation?

Back

6.7 x 10^2

Front

What is the standard form of 4.57 x 10^-4?

Back

0.000457