Adding and Subtracting Scientific Notation

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Tags

CCSS.8.EE.A.3

Front

How do you add numbers in scientific notation with different exponents?

Back

To add numbers in scientific notation with different exponents, you must first convert them to the same exponent. Then, you can add the coefficients.

Tags

CCSS.8.EE.A.4

Front

What is the process for subtracting numbers in scientific notation?

Back

To subtract numbers in scientific notation, ensure they have the same exponent. If they do not, convert one or both numbers to have the same exponent before subtracting the coefficients.

Tags

CCSS.8.EE.A.4

Front

What is the significance of the exponent in scientific notation?

Back

The exponent in scientific notation indicates the power of ten by which the coefficient is multiplied, determining the scale of the number.

Tags

CCSS.8.EE.A.3

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 number between 1 and 10, and count the number of places moved to determine the exponent.

Tags

CCSS.8.EE.A.3

Front

What is the result of (5.2 x 10^7) + (3.01 x 10^4)?

Back

5.20301 x 10^7 (after converting 3.01 x 10^4 to the same exponent as 5.2 x 10^7).

Tags

CCSS.8.EE.A.4

Front

What is the result of (7.32 x 10^6) - (4.01 x 10^8)?

Back

-3.937 x 10^8 (after converting 7.32 x 10^6 to the same exponent as 4.01 x 10^8).

Tags

CCSS.8.EE.A.4

Front

How do you express the sum of (7.3 x 10^5) + (3.7 x 10^5) in scientific notation?

Back

1.1 x 10^6 (by adding the coefficients since the exponents are the same).

Tags

CCSS.8.EE.A.4

Front

What is the result of (5 x 10^8) - (3.4 x 10^8)?

Back

1.6 x 10^8 (by subtracting the coefficients since the exponents are the same).

Tags

CCSS.8.EE.A.4

Front

What is the rule for multiplying numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients and add the exponents.

Tags

CCSS.8.EE.A.4