Operations with Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

How do you add numbers in scientific notation?

Back

Ensure the exponents are the same, then add the coefficients.

Front

What is the result of (2 x 10^-5) + (7 x 10^-5)?

Back

9 x 10^-5

Front

How do you convert 4.1 x 10^5 + 5.5 x 10^6 to scientific notation?

Back

Convert 4.1 x 10^5 to 0.041 x 10^6, then add: 0.041 x 10^6 + 5.5 x 10^6 = 5.541 x 10^6 = 5.91 x 10^6.

Front

What is the process for dividing numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.

Front

What is the result of (6.9 x 10^7) / (2.3 x 10^-3)?

Back

3 x 10^10

Front

How do you subtract numbers in scientific notation?

Back

Ensure the exponents are the same, then subtract the coefficients.

Front

What is the result of (3.8 x 10^4) - (2 x 10^3)?

Back

3.6 x 10^4

Front

How do you add (8 x 10^4) + (4 x 10^4)?

Back

Add the coefficients: 8 + 4 = 12, so the result is 12 x 10^4 or 1.2 x 10^5.

Front

What is the rule for multiplying numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.