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What number is [tex]$5.0006 \cdot 10^{6}$[/tex] in scientific notation?

A. [tex]$50,600,000$[/tex]
B. [tex][tex]$50,060,000$[/tex][/tex]
C. [tex]$500,600,000$[/tex]
D. [tex]$500,060,000$[/tex]

Sagot :

To solve the question of what [tex]\( 5.0006 \times 10^{6} \)[/tex] is in standard form, let's follow these steps:

1. Understand Scientific Notation: In scientific notation, a number is expressed as the product of a decimal between 1 and 10 and a power of 10. Here, we are given:
[tex]\[ 5.0006 \times 10^6 \][/tex]

2. Calculate the Value: We need to convert [tex]\( 5.0006 \times 10^6 \)[/tex] to its standard form by performing the multiplication.
[tex]\[ 5.0006 \times 10^6 = 5.0006 \times 1,000,000 \][/tex]

3. Perform the Multiplication:
[tex]\[ 5.0006 \times 1,000,000 = 5,000,600 \][/tex]

4. Comparison with Given Choices: Now, we compare this calculated result with the given multiple-choice answers:
- A: [tex]\( 50,600,000 \)[/tex]
- B: [tex]\( 50,060,000 \)[/tex]
- C: [tex]\( 500,600,000 \)[/tex]
- D: [tex]\( 500,060,000 \)[/tex]

5. Identify the Correct Answer: From the above step-by-step calculation:
[tex]\[ 5,000,600 \][/tex]

The correct answer matches choice [tex]\( \text{D} \)[/tex], [tex]\( 5000600 \)[/tex].

Hence, the correct answer is:
[tex]\[ \boxed{5000600} \][/tex]