Answer:
The number is 546.208 in standard form.
Step-by-step explanation:
The standard form consist in the presentation of given number in decimal format. The proceeding is described as follows:
1) Each component of the sum is simplified.
2) Results are summed to get number in standard form.
That is,
Step 1
[tex]5 \times 100 = 500[/tex]
[tex]4 \times 10 = 40[/tex]
[tex]6 \times 1 = 6[/tex]
[tex]2 \times \left(\frac{1}{10} \right) = 0.2[/tex]
[tex]0 \times \left(\frac{1}{100}\right) = 0.00[/tex]
[tex]8 \times \left(\frac{1}{1000} \right) = 0.008[/tex]
Step 2
[tex]x = 500 + 40 + 6 + 0.2 + 0.00 + 0.008[/tex]
[tex]x = 546.208[/tex]
The number is 546.208 in standard form.
The number in standard form is written as 546.208
Given :
[tex]5 \cdot 100+4 \cdot 10+6\cdot1+2\cdot( \frac{1}{10} )+8\cdot( \frac{1}{1000} )[/tex]
Write it in standard form
To write it in standard form , we multiply the numbers and add it all
[tex]5 \cdot 100=500\\4 \cdot 10=40\\6\cdot 1=6\\2\cdot( \frac{1}{10} )=0.2\\8\cdot( \frac{1}{1000} )=0.008[/tex]
Now we add all the decimal values
[tex]500+40+6+0.2+0.008= 546.208[/tex]
The number in standard form is written as 546.208
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