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 (9.6×10^-8) ÷ (2×10^-15)?

Back

4.8×10^7.

Front

What is the result of (7 x 10^15) + (5 x 10^15)?

Back

1.2 x 10^16.

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 (9 x 10^-6) (3 x 10^-3)?

Back

2.7 x 10^-8.

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.

Front

What is the exponent in the scientific notation 5.0 x 10^-2?

Back

-2.