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 × 10^n.

Front

How do you multiply numbers in scientific notation?

Back

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

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents: (a × 10^m) ÷ (b × 10^n) = (a ÷ b) × 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 (2.1 x 10^2) × (3.0 x 10^4)?

Back

6.3 x 10^6.

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 with the same exponent?

Back

Add the coefficients and keep the exponent the same: (a × 10^n) + (b × 10^n) = (a + b) × 10^n.

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 (20 x 10^50) / (4 x 10^15)?

Back

5 x 10^35.

Front

What is the coefficient in the scientific notation 4.5 x 10^3?

Back

4.5.