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

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 (6.0 x 10^4) + (3.0 x 10^4)?

Back

9.0 x 10^4.

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 (1.9 x 10^-9) - (1.7 x 10^-9)?

Back

2 x 10^-10.

Front

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

Back

3.2.