Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. It is written in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a number from standard form to scientific notation?

Back

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

Front

Convert 450,000 to scientific notation.

Back

4.5 × 10^5

Front

What is the standard form of 2.45 × 10^6?

Back

2,450,000

Front

How do you write 4.3756 × 10^4 in standard form?

Back

43,756

Front

Convert 2.4 × 10^-3 to standard form.

Back

0.0024

Front

Write 0.00000707 in scientific notation.

Back

7.07 × 10^-6

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means move to the right, and a negative exponent means move to the left.

Front

How do you determine the exponent when converting to scientific notation?

Back

The exponent is determined by how many places the decimal point is moved to convert the number to a value between 1 and 10.

Front

What is the scientific notation for 0.00025?

Back

2.5 × 10^-4