Operations in Scientific Notation Practice

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 (4 x 10^5)(5 x 10^-3)?

Back

2 x 10^3.

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 numbers in scientific notation with different exponents?

Back

Convert them to the same exponent before adding the coefficients.

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 (7.3 x 10^5) + (3.7 x 10^5)?

Back

1.1 x 10^6.

Front

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

Back

3 x 10^3.

Front

What is the coefficient in the scientific notation 3.2 x 10^4?

Back

3.2.