Operations in Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a coefficient and a power of 10, e.g., a x 10^n.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents: (a x 10^m) * (b x 10^n) = (a*b) x 10^(m+n).

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents: (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the result of (6 x 10^6) / (2 x 10^3)?

Back

3 x 10^3.

Front

What is the result of (9.6 x 10^-8) ÷ (2 x 10^-15)?

Back

4.8 x 10^7.

Front

How do you add numbers in scientific notation?

Back

Make sure the exponents are the same, then add the coefficients: (a x 10^n) + (b x 10^n) = (a+b) x 10^n.

Front

What is the result of (4.1 x 10^5) + (5.5 x 10^6)?

Back

5.91 x 10^6.

Front

What is the result of (1.9 x 10^-9) - (1.7 x 10^-9)?

Back

2 x 10^-10.

Front

What is the significance of the exponent in scientific notation?

Back

It indicates the scale of the number, with positive exponents representing large numbers and negative exponents representing small numbers.

Front

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

Back

Move the decimal point to create a number between 1 and 10, then count the number of places moved to determine the exponent.