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 coefficient of the number with the smaller exponent, then 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, convert them to the same exponent if they are different. Adjust the coefficient of the number with the smaller exponent, then subtract 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 (9.54 x 10^8) + (3.22 x 10^7) into scientific notation?

Back

Convert (3.22 x 10^7) to (0.322 x 10^8), then add: (9.54 + 0.322) x 10^8 = 9.862 x 10^8.

Tags

CCSS.8.EE.A.4

Front

What is the result of (8.7 x 10^5) + (7.32 x 10^7) in scientific notation?

Back

Convert (8.7 x 10^5) to (0.087 x 10^7), then add: (0.087 + 7.32) x 10^7 = 7.407 x 10^7.

Tags

CCSS.8.EE.A.4

Front

How do you find the difference of (9.87 x 10^7) - (7.42 x 10^7)?

Back

Since both numbers have the same exponent, subtract the coefficients: (9.87 - 7.42) x 10^7 = 2.45 x 10^7.

Tags

CCSS.8.EE.A.4

Front

What is the sum of (4.8 x 10^8) + (5.4 x 10^8)?

Back

Since both numbers have the same exponent, add the coefficients: (4.8 + 5.4) x 10^8 = 10.2 x 10^8 = 1.02 x 10^9.

Tags

CCSS.8.EE.A.4

Front

How do you add (2.6 x 10^6) + (4.2 x 10^6)?

Back

Since both numbers have the same exponent, add the coefficients: (2.6 + 4.2) x 10^6 = 6.8 x 10^6.

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: (a x 10^m) * (b x 10^n) = (a*b) x 10^(m+n).

Tags

CCSS.8.EE.A.4