Scientific Notation

Front

What is scientific notation?

Back

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

Front

How do you convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the exponent of 10.

Front

What does a positive exponent in scientific notation indicate?

Back

The number is larger than 10.

Front

What does a negative exponent in scientific notation indicate?

Back

The number is smaller than 1.

Front

How do you convert 0.004078 to scientific notation?

Back

4.078 x 10^-3.

Front

If you have the number 5.6 x 10^4, what is its standard form?

Back

56000.

Front

What is the largest number among 9 x 10^6, 8 x 10^10, 1.3 x 10^12, and 5.3 x 10^3?

Back

1.3 x 10^12.

Front

When the exponent is negative, which direction do you move the decimal?

Back

To the left.

Front

What is the standard form of 3.2 x 10^-2?

Back

0.032.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.