Scientific Notation with Operations

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten, in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you add numbers in scientific notation?

Back

Align the exponents. If they are different, convert one number to have the same exponent as the other. Then, add the coefficients and keep the common exponent.

Front

How do you subtract numbers in scientific notation?

Back

Align the exponents. If they are different, convert one number to have the same exponent as the other. Then, subtract the coefficients and keep the common exponent.

Front

What is the product of (a × 10^m) and (b × 10^n)?

Back

The product is (a × b) × 10^(m+n). Multiply the coefficients and add the exponents.

Front

What is the quotient of (a × 10^m) and (b × 10^n)?

Back

The quotient is (a ÷ b) × 10^(m-n). Divide the coefficients and subtract the exponents.

Front

Convert 0.00056 to scientific notation.

Back

5.6 × 10^-4.

Front

Convert 4500000 to scientific notation.

Back

4.5 × 10^6.

Front

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

Back

3.936 x 10⁸.

Front

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

Back

6.297 x 10².

Front

What is the result of (3 x 10³) - (2.9 x 10²)?

Back

2.71 x 10³.