Scientific Notation Operations Test

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 add numbers in scientific notation?

Back

Align the powers of ten. If the powers are different, adjust one number to match the other's power. Then, add the coefficients and express the result in scientific notation.

Front

How do you subtract numbers in scientific notation?

Back

Align the powers of ten. If the powers are different, adjust one number to match the other's power. Then, subtract the coefficients and express the result in scientific notation.

Front

What is the rule for multiplying numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. The result is in the form a × 10^n.

Front

What is the rule for dividing numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. The result is in the form a × 10^n.

Front

What is the first factor in scientific notation?

Back

The first factor (coefficient) must be between 1 and 9.9.

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number to create a new number between 1 and 10, then count the number of places moved to determine the exponent.

Front

What is the population of NYC in scientific notation?

Back

Approximately 8.1 × 10^6.

Front

What is the population of Los Angeles in scientific notation?

Back

Approximately 3.8 × 10^6.

Front

How do you combine populations in scientific notation?

Back

Add the coefficients of the populations if they have the same exponent, or adjust one to match the other's exponent before adding.