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Learn how to multiply by powers of 10 and use exponents as a shorthand for repeated multiplication. See examples, video, transcript and questions on Khan Academy.
- 6 min
- Sal Khan
- Sorry, I realize I´m 2 years late. But for those who need help, there are *two* ways of remembering the order of operations: Please (Parentheses) E...
- The answer is 10x10x10x10x10 which is equal to 100,000. 10x10x10x10x10 = 100,000
- that would be 1502.3
- 10 x 6 = 60, while 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 They both give very different answers.
- ye hes Sal Khan
Learn how to use exponential notation to simplify repeated multiplication by 10. See how to convert between powers of 10 and standard notation, and practice with questions and tips.
- 4 min
Learn about the number 10, its properties, and how it is written in different numeral systems. Find out why 10 is an important number for humans and how it relates to the decimal system.
- Positive Powers of 10
- Negative Powers of 10
- 2 to The Power of 10
- Calculating Powers of 10
- GeneratedCaptionsTabForHeroSec
The powers of 10 have some specific names (though not all powers) for some specific powers. For example, 106(10 to the power of 6) is known as a 'million' and the SI prefix of 10 power 6 is 'giga' which is represented by the SI symbol G. Similarly, we have some specific names for some positive powers of 10 which are given in the following table.
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. Similarly, a negative power of 10, like 10...
It should be noted that 2 to the power of 10 is not the same as 10 to the power of 2. 2 to the power of 10 means a number in which 2 is the base and 10 is the exponent. This is written as 210and this means 2 is multiplied ten times, that is, 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024.
In order to calculate the sum, difference, product, and quotient of powers of 10, we can first find the values of powers of 10 and then do the respective operation. For example, 103/102= 1000/100 = 10. But sometimes, this procedure is difficult if the exponent is very large. In such cases, the following procedures would help.
Learn what powers of 10 are, how to write them using exponents, and how to use them in different contexts. Find out the names and symbols of some common positive powers of 10 and their decimal and fraction forms.
To evaluate a power of 10 , we multiply the base ( 10) by itself the exponent amount of times. Example: 10 5 has an exponent of 5 , so we multiply 10 times itself 5 times: 10 5 = 10 × 10 × 10 × 10 × 10 = 100,000.
10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.
Learn about the decimal system, the Pythagoreanism, and the prime number properties of 10, the most perfect number. Explore the articles on number theory, number games, and cryptology related to 10.
