Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Which choice correctly expresses the number below in scientific notation?

145000

A. [tex]$1.45 \cdot 10^6$[/tex]
B. [tex]$145 \cdot 10^3$[/tex]
C. [tex]$145 \cdot 10^5$[/tex]
D. [tex]$1.45 \cdot 10^4$[/tex]
E. [tex]$1.45 \cdot 10^5$[/tex]
F. [tex]$14.5 \cdot 10^4$[/tex]

Answer :

To express the number 145,000 in scientific notation, follow these steps:

1. Understand Scientific Notation: Scientific notation represents numbers as a product of a coefficient and a power of ten. The coefficient is a number between 1 and 10 (but not equal to 10), and it is multiplied by 10 raised to an exponent.

2. Find the Coefficient: Start with the given number, 145,000. Move the decimal point in the number to create a new number between 1 and 10.

3. Move the Decimal Point: In 145,000, the decimal point is originally at the end of the number (145000.). Move it to the left to get a number between 1 and 10. That would be 1.45, by moving the decimal 5 places to the left.

4. Determine the Exponent: Count the number of places you moved the decimal point. Each move represents a power of ten. Since you moved the decimal 5 places to the left, the exponent will be 5.

5. Write in Scientific Notation: Combine the coefficient (1.45) with the power of ten (10^5). Therefore, 145,000 can be expressed in scientific notation as [tex]\(1.45 \times 10^5\)[/tex].

6. Select the Correct Choice: From the options provided, the correct expression is E. [tex]\(1.45 \cdot 10^5\)[/tex].

So, 145,000 in scientific notation is [tex]\(1.45 \times 10^5\)[/tex].