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 from standard form 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 the exponent in scientific notation indicate?

Back

The exponent indicates how many places the decimal point has been moved. A positive exponent means the number is large, while a negative exponent means the number is small.

Front

Convert 0.00056 to scientific notation.

Back

5.6 x 10^-4.

Front

What is the product of (2 x 10^3) and (3 x 10^2)?

Back

6 x 10^5.

Front

What is the sum of (1.2 x 10^4) and (3.4 x 10^4)?

Back

4.6 x 10^4.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.

Front

What is 1.5 x 10^6 + 2.5 x 10^6?

Back

4.0 x 10^6.

Front

What is the scientific notation for 0.0045?

Back

4.5 x 10^-3.