Answered

What is [tex]$504,600,000$[/tex] in scientific notation?

A. [tex]5.046 \times 10^8[/tex]
B. [tex]504.6 \times 10^6[/tex]
C. [tex]5046 \times 10^5[/tex]
D. [tex]50.46 \times 10^7[/tex]
E. [tex]0.5046 \times 10^9[/tex]



Answer :

GinnyAnswer
To convert the number [tex]\( 504,600,000 \)[/tex] into scientific notation, follow these steps:

1. Identify the significant digits: The significant digits in [tex]\( 504,600,000 \)[/tex] are [tex]\( 5046 \)[/tex].

2. Place the decimal point: To express [tex]\( 504,600,000 \)[/tex] in scientific notation, we need to place the decimal point after the first significant digit. Therefore, [tex]\( 5046 \)[/tex] becomes [tex]\( 5.046 \)[/tex].

3. Count the number of places the decimal has been moved:

- Initially, the implicit decimal point in [tex]\( 504,600,000 \)[/tex] is after the last zero.
- Moving the decimal point from its original position (after the last zero in [tex]\( 504,600,000 \)[/tex]) to after the first significant digit [tex]\( 5 \)[/tex] involves moving it 8 places to the left.

4. Write the number as a product of the significant digits and a power of ten:

- Since the decimal was moved 8 places to the left, we multiply [tex]\( 5.046 \)[/tex] by [tex]\( 10^8 \)[/tex].

Therefore, [tex]\( 504,600,000 \)[/tex] in scientific notation is [tex]\( 5.046 \times 10^8 \)[/tex].

Hence, the correct answer is:
[tex]\[ 5.046 \times 10^8 \][/tex]
chibabykalu16

Answer:

A. 5.046 * 10^8

Step-by-step explanation:

Given:

  • 504,600,000

Scientific notation is a way of expressing very large or very small numbers in a more manageable form. It involves expressing a number as a product of a number between 1 and 10 and a power of 10.

In this case, to express the given number in scientific notation, we need to determine the power of 10. We can do this by counting the number of places the decimal point needs to be moved to the left to obtain a number between 1 and 10. In this case, the decimal point must be moved 8 places to the left.

Therefore, the number 504,600,000 can be expressed as 5.046 * 10^8.

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