multiply and divide in scientific notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a coefficient and a power of 10, typically in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you multiply numbers in scientific notation?

Back

When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents.

Front

How do you divide numbers in scientific notation?

Back

When dividing numbers in scientific notation, you divide the coefficients and subtract the exponents.

Front

What is the result of multiplying (3 x 10^4) by (2 x 10^2)?

Back

The result is 6 x 10^6.

Front

What is the result of dividing (5 x 10^8) by (1 x 10^3)?

Back

The result is 5 x 10^5.

Front

What do you do to the exponents when you are adding numbers in scientific notation?

Back

When adding numbers in scientific notation, you must first ensure the exponents are the same; then you add the coefficients.

Front

What is the result of adding (1.5 x 10^5) and (2.5 x 10^5)?

Back

The result is 4.0 x 10^5.

Front

What is the result of subtracting (9.0 x 10^7) from (1.2 x 10^8)?

Back

The result is 3.0 x 10^7.

Front

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

Back

To convert a number from standard form to scientific notation, move the decimal point to create a coefficient between 1 and 10, and count the number of places moved to determine the exponent.

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates the power of 10 by which the coefficient is multiplied, determining the scale of the number.