Multiplying Scientific Notation & Exponents

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 multiply numbers in scientific notation?

Back

Multiply the coefficients (the numbers in front) and add the exponents of the powers of ten.

Front

What is the result of (5.4 × 10^2)(3.2 × 10^3)?

Back

17.28 × 10^5.

Front

If you multiply a number by 10^n, what happens to the decimal point?

Back

The decimal point moves n places to the right if n is positive, and to the left if n is negative.

Front

What is the exponent in the expression 4.5 × 10^6?

Back

6.

Front

True or False: Scientific notation can only represent large numbers.

Back

False. It can represent both large and small numbers.

Front

What is the value of 10^0?

Back

1.

Front

Which of the following is NOT in scientific notation: 1.2 × 10^3, 5.3 × 10^9, 2.0 × 10^0, 10 × 10^2?

Back

10 × 10^2.

Front

What happens to the exponent when you divide two numbers in scientific notation?

Back

You subtract the exponent of the denominator from the exponent of the numerator.

Front

What is the product of (9.4 × 10^6)(3.2 × 10^5)?

Back

3.008 × 10^12.