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 number from scientific notation to standard form?

Back

Multiply the coefficient (a) by 10 raised to the power of n. For example, 3.68 × 10^-5 becomes 0.0000368.

Front

Convert 4.3756 × 10^4 to standard form.

Back

43,756.

Front

What is the standard form of 2.4 × 10^-3?

Back

0.0024.

Front

How do you change a number from standard form to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to its left, and count the number of places moved. This gives you the exponent for 10.

Front

Convert 0.000398 to scientific notation.

Back

3.98 × 10^-4.

Front

What is the scientific notation for 0.00000707?

Back

7.07 × 10^-6.

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means move to the right, and a negative exponent means move to the left.

Front

If a number is written as 5.2 × 10^3, what is its standard form?

Back

5,200.

Front

What is the standard form of 1.23 × 10^-2?

Back

0.0123.