Scientific Notation word problems

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 exponents. If they are different, convert one number to have the same exponent as the other. Then, add the coefficients and keep the exponent.

Front

How do you subtract numbers in scientific notation?

Back

Align the exponents. If they are different, convert one number to have the same exponent as the other. Then, subtract the coefficients and keep the exponent.

Front

How do you multiply numbers in scientific notation?

Back

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

Front

How do you divide 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 perimeter of a rectangle in scientific notation?

Back

Perimeter = 2(length + width). If dimensions are in scientific notation, add them first, then multiply by 2.

Front

How do you convert a number from standard form to scientific notation?

Back

Move the decimal point to create a number between 1 and 10, and count the number of places moved. This count becomes the exponent.

Front

What is the difference between two numbers in scientific notation?

Back

To find the difference, ensure both numbers have the same exponent, then subtract the coefficients.

Front

How do you find the average of numbers in scientific notation?

Back

Add the numbers together (in scientific notation) and then divide by the number of values.

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates how many places the decimal point has been moved, determining the scale of the number.