Operations 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 ten, typically in the form a × 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?

Back

To add numbers in scientific notation, they must have the same exponent. If they do not, adjust one or both numbers to have the same exponent, then add the coefficients and keep the common exponent.

Tags

CCSS.8.EE.A.4

Front

How do you subtract numbers in scientific notation?

Back

To subtract numbers in scientific notation, ensure they have the same exponent. If not, adjust one or both numbers to have the same exponent, then subtract the coefficients and keep the common exponent.

Tags

CCSS.8.EE.A.4

Front

What is the product of two numbers in scientific notation?

Back

To multiply two numbers in scientific notation, multiply the coefficients and add the exponents. The result is in the form a × 10^n.

Tags

CCSS.8.EE.A.4

Front

What is the quotient of two numbers in scientific notation?

Back

To divide two numbers in scientific notation, divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator. The result is in the form a × 10^n.

Tags

CCSS.8.EE.A.4

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient in scientific notation must be between 1 and 10. It represents the significant figures 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 coefficient between 1 and 10, and count the number of places moved to determine the exponent.

Tags

CCSS.8.EE.A.3

Front

What happens when you multiply a number in scientific notation by a power of ten?

Back

When you multiply a number in scientific notation by a power of ten, you add the exponent of the power of ten to the exponent of the number.

Tags

CCSS.8.EE.A.4

Front

How do you handle scientific notation with negative exponents?

Back

Negative exponents in scientific notation indicate a number less than one. For example, 10^-3 equals 1/1000.

Tags

CCSS.8.EE.A.3

Front

What is the result of (a × 10^m) + (b × 10^n) when m ≠ n?

Back

When m ≠ n, convert one term to have the same exponent as the other before adding the coefficients.

Tags

CCSS.5.NBT.A.2