In the expression, 5.28×10^3 , which number is the base?

A. 5

B. 10

C. 3

D. 5.28

In the expression, 5.28×10^3, which number is the exponent?

A. 3

B. 5

C. 5.28

D. 10

In the expression, 5.28×10^3 , which number is the coefficient?

A. 5

B. 10

C. 5.28

D. 3

macabresubwoofer Sep 18, 2019

#1**+1 **

The base is 10 the exponent is the '3'....and the coefficient is......

ElectricPavlov Sep 18, 2019

#4**+2 **

Ya know you asked a very similar question just the other day.....did you look at THOSE answers for a similar answer to this question??

https://web2.0calc.com/questions/in-the-expression-6-24-10-3-which-number-is-the-exponent#r1

ElectricPavlov
Sep 18, 2019

#8**0 **

Number three is wrong. Technically, that is, pedantically speaking **there isn’t a coefficient**.

**A coefficient** is a numerical or constant quantity placed before and multiplying the **variable** in an algebraic expression. There is no variable here, so **there is no coefficient**.

(Oh, and it’s not a physical constant either. There is no reference to any kind of physical relation.)

P.S. If you need a string of curses, I can provide them for you ... in several languages.

Guest Sep 18, 2019

#9**+1 **

Technically, that IS the nomenclature or definitions used for the parts of a number in scientific notation:

https://www.shmoop.com/basic-operations/scientific-notation.html

...and from Wikipedia:

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression

So people DO understand that the 5.28 portion is known as the coefficient.

ElectricPavlov
Sep 18, 2019

edited by
Guest
Sep 18, 2019

#10**0 **

**A coefficient** is a multiplicative factor in some term of a polynomial, a series, or any expression. Note that all the examples for coefficients precede variables in wikipedia.org/wiki/Coefficient,. They are sometimes depicted in non-italicized boldfaced letters defined as constants for given equations, but they always precede variables. **Note that no example is listed for use without the subsequent variable, even in the case of a series.**

The only official exception to this is in **physics**, where it’s used as a constant for conversion in an equation, where it usually precedes a variable.

The example in shmoop.com (which sounds like a pet name for a lover) though understandable, is, in fact, arbitrary. The *unshmoopified*, formal and official name for this portion of the expression is** mantissa. **

**Yes,** **shmoopy, it’s easy to understand that portion could be called a coefficient. I think it’s a great alternative name. However, this post is a pedantic, hair-splitting, mathematical definition, which does not allow for casual vocabulary. **

**...Though there is always some room for sweet-talk. **

Guest Sep 19, 2019

#11**0 **

https://study.com/academy/lesson/what-is-scientific-notation-definition-rules-examples.html

https://www.google.com/search?q=scientific+notation+parts&tbm=isch&source=univ&client=firefox-b-1-d&sa=X&ved=2ahUKEwjj0cOPzuPkAhWFsJ4KHRztDKAQsAR6BAgHEAE&biw=1920&bih=916

https://www.yourdictionary.com/mantissa

ElectricPavlov
Sep 22, 2019