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Learn how to write and read numbers in power of negative 10 notation, also known as scientific notation. See the chart of powers of negative 10 from 10 to the power of -48 to 10 to the power of -39.
The sequence of powers of ten can also be extended to negative powers. Similar to the positive powers, the negative power of 10 related to a short scale name can be determined based on its Latin name-prefix using the following formula: 10 −[(prefix-number + 1) × 3] Examples: billionth = 10 −[(2 + 1) × 3] = 10 −9
Negative Powers of 10. The negative powers of 10 are expressed in a different way. We know that a negative power (negative exponent) is defined as the multiplicative inverse of the base. This means that we write the reciprocal of the number and then solve it like positive exponents. For example, (4/5)-2 can be written as (5/4) 2.
To convert a number (whose value is between 0 and 1) into scientific notation, we have to move the decimal point to the right and multiply by 10 with negative power. To move the decimal point to the right, we have to count number of digits as explained in the example given below.
Exponents worksheets for computing powers of ten and scientific notation, including positive exponents and negative exponents.
Learn how to write large or small numbers using powers of 10, also known as scientific notation or standard form. See examples, rules, and a calculator for positive and negative powers of 10.
Write \((10^{2})^{-3}\) as a power of 10 with a single exponent. Be prepared to explain your reasoning. Match each exponential expression with an equivalent multiplication expression:
