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

Convert the numbers to have the same exponent.

Front

How do you convert a number in scientific notation to have a different exponent?

Back

Adjust the coefficient by moving the decimal point and changing the exponent accordingly.

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 subtract numbers in scientific notation?

Back

Ensure they have the same exponent, then subtract the coefficients.

Front

What is the result of (7.32 x 10⁶) - (4.01 x 10⁸)?

Back

-3.937 x 10⁸.

Front

What is the result of (4.1 x 10⁵) + (5.5 x 10⁶)?

Back

5.91 x 10⁶.

Front

What is the significance of the exponent in scientific notation?

Back

It indicates the power of ten by which the coefficient is multiplied.