Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten, 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

What does a positive exponent in scientific notation indicate?

Back

It indicates a large number.

Front

What does a negative exponent in scientific notation indicate?

Back

It indicates a small number (less than 1).

Front

When multiplying numbers in scientific notation, what do you do with the exponents?

Back

Add the exponents.

Front

When dividing numbers in scientific notation, what do you do with the exponents?

Back

Subtract the exponents.

Front

How do you write 0.00045 in scientific notation?

Back

4.5 x 10^-4.

Front

What is the result of (2.0 x 10^3) x (3.0 x 10^2)?

Back

6.0 x 10^5.

Front

What is the result of (5.0 x 10^6) / (2.0 x 10^2)?

Back

2.5 x 10^4.

Front

How do you write 1000 in scientific notation?

Back

1.0 x 10^3.