Adding and Subtracting Scientific Notation 12/9

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you add numbers in scientific notation with the same exponent?

Back

Simply add the coefficients and keep the exponent the same.

Front

What is the first step in adding numbers in scientific notation with different exponents?

Back

Adjust the numbers so they have the same exponent by converting one of the numbers.

Front

What is the rule for subtracting numbers in scientific notation?

Back

Similar to addition, subtract the coefficients and keep the exponent the same if the exponents are the same.

Front

How do you convert 5.2 x 10⁷ + 3.01 x 10⁴ into the same exponent?

Back

Convert 3.01 x 10⁴ to 0.0301 x 10⁷, then add: 5.2 x 10⁷ + 0.0301 x 10⁷ = 5.2301 x 10⁷.

Front

What is the result of (2.3 x 10²) + (4.1 x 10²)?

Back

6.4 x 10².

Front

What is the result of (6.2 x 10²) + (9.7 x 10⁰)?

Back

6.297 x 10².

Front

How do you write 5 x 10⁸ - 3.4 x 10⁸ in scientific notation?

Back

1.6 x 10⁸.

Front

What is the significance of the exponent in scientific notation?

Back

It indicates the power of ten by which the coefficient is multiplied, determining the scale of the number.

Front

What happens when you add (5.2 x 10⁷) + (3.01 x 10⁴) without adjusting exponents?

Back

You cannot directly add them; you must first convert to the same exponent.