Scientific Notation

Front

What is scientific notation?

Back

A way 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 number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

Convert 5000 to scientific notation.

Back

5.0 x 10^3

Front

Convert 0.0045 to scientific notation.

Back

4.5 x 10^-3

Front

What is the value of 10^0?

Back

1, because any number raised to the power of zero is 1.

Front

Simplify: 5^(-2)

Back

1/25

Front

Write 46.3 x 10^4 in scientific notation.

Back

4.63 x 10^5

Front

Write 0.000972 in scientific notation.

Back

9.72 x 10^-4

Front

Write 2,500,000 in scientific notation.

Back

2.5 x 10^6

Front

What is the purpose of scientific notation?

Back

To simplify the representation of very large or very small numbers, making them easier to read and work with.