Scientific Notation

Front

What is scientific notation?

Back

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

Front

How do you convert a large number to scientific notation?

Back

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

Front

Convert 125,678,000 to scientific notation.

Back

1.25678 × 10^8

Front

How do you convert a small number to scientific notation?

Back

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

Front

Convert 0.004078 to scientific notation.

Back

4.078 × 10^-3

Front

Convert 0.000398 to scientific notation.

Back

3.98 × 10^-4

Front

Convert 450,000 to scientific notation.

Back

4.5 × 10^5

Front

What is the purpose of scientific notation?

Back

To simplify the representation of very large or very small numbers, making them easier to read, write, and calculate.

Front

What is the standard form of 4.5 × 10^5?

Back

450,000

Front

What is the standard form of 3.9 × 10^6?

Back

3,900,000