Scientific Notation with Operations

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 (the numbers in front) and add the exponents of the powers of ten.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents of the powers of ten.

Front

What is the rule for adding and subtracting numbers in scientific notation?

Back

The exponents must be the same; if they are not, adjust the numbers so they have the same exponent.

Front

What is the Quotient Rule in scientific notation?

Back

When dividing two numbers in scientific notation, subtract the exponent of the denominator from the exponent of the numerator.

Front

Multiply: (3.0 × 10^4)(2.0 × 10^3)

Back

6.0 × 10^7

Front

Divide: (8.0 × 10^5) / (4.0 × 10^2)

Back

2.0 × 10^3

Front

Add: (1.2 × 10^3) + (3.4 × 10^3)

Back

4.6 × 10^3

Front

Subtract: (5.0 × 10^6) - (2.0 × 10^6)

Back

3.0 × 10^6

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient must be between 1 and 10 to maintain the standard form of scientific notation.