Comparing with Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers as a product of a number between 1 and 10 and a power of 10.

Front

How do you compare numbers in scientific notation?

Back

Compare the exponents first; the number with the larger exponent is greater. If exponents are equal, compare the coefficients.

Front

What is the value of 7 x 10^8?

Back

700,000,000.

Front

Which is greater: 5.406 x 10^8 or 5.504 x 10^7?

Back

5.406 x 10^8 is greater because 8 > 7.

Front

What is the smallest number among 1.3 x 10^20, 2.9 x 10^21, 9.5 x 10^32, and 8.4 x 10^19?

Back

8.4 x 10^19.

Front

What does c^-5 represent in terms of value?

Back

It represents a very small value, as negative exponents indicate a fraction.

Front

How do you convert 5.604 x 10^9 to standard form?

Back

5,604,000,000.

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates the number of places the decimal point moves to the right (positive) or left (negative).

Front

If two numbers have the same exponent, how do you determine which is larger?

Back

Compare the coefficients; the larger coefficient indicates the larger number.

Front

What is the value of c^4 if c = 2?

Back

16, because 2^4 = 16.