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. Adjust the coefficients accordingly, then add the coefficients and keep the common exponent.

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 both numbers have the same exponent. If they do not, convert one or both to have the same exponent, then subtract the coefficients and keep the common exponent.

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 or size 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. This count becomes the exponent of 10.

Tags

CCSS.8.EE.A.3

Front

What is the result of (3.0 x 10^4) + (2.0 x 10^4)?

Back

The result is (5.0 x 10^4) because both numbers have the same exponent.

Tags

CCSS.8.EE.A.4

Front

What is the result of (5.0 x 10^3) - (1.0 x 10^2)?

Back

First, convert (1.0 x 10^2) to (0.1 x 10^3) to match the exponents. Then, (5.0 x 10^3) - (0.1 x 10^3) = (4.9 x 10^3).

Tags

CCSS.8.EE.A.4

Front

What happens when you subtract a larger number from a smaller number in scientific notation?

Back

When you subtract a larger number from a smaller number in scientific notation, the result will be negative, and you may need to express it in scientific notation as well.

Tags

CCSS.8.EE.A.4

Front

How do you handle scientific notation with negative exponents?

Back

Negative exponents indicate that the number is a fraction. For example, 10^-2 = 1/10^2 = 0.01.

Tags

CCSS.8.EE.A.4

Front

What is the result of (6.0 x 10^-3) + (4.0 x 10^-4)?

Back

Convert (4.0 x 10^-4) to (0.4 x 10^-3) to match the exponents. Then, (6.0 x 10^-3) + (0.4 x 10^-3) = (6.4 x 10^-3).

Tags

CCSS.8.EE.A.4