Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten, in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (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. For example, (a × 10^m) ÷ (b × 10^n) = (a ÷ b) × 10^(m-n).

Front

What is the correct format for scientific notation?

Back

Only one non-zero digit can be to the left of the decimal point.

Front

Convert 0.00045 to scientific notation.

Back

4.5 × 10^-4.

Front

What is the sum of (2.5 × 10^3) + (3.0 × 10^2)?

Back

2.8 × 10^3.

Front

What is the difference between (6.0 × 10^5) - (1.5 × 10^4)?

Back

5.85 × 10^5.

Front

Convert 3.2 × 10^6 to standard form.

Back

3,200,000.

Front

What is the product of (4 × 10^2) and (5 × 10^3)?

Back

20 × 10^5 or 2.0 × 10^6.

Front

How do you change 7.89 × 10^-2 to standard form?

Back

0.0789.