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Which decimal has the greatest value?

Select one:

A. 0.5
B. 0.05
C. 0.0005

Sagot :

GinnyAnsweridn
To determine which decimal has the greatest value, we can compare the given decimals:

1. 0.5:
- This value has a single digit after the decimal point.

2. 0.05:
- This value has two digits after the decimal point.

3. 0.0005:
- This value has four digits after the decimal point.

To compare these values, observe the position and significance of each digit:

- The number 0.5 has a '5' immediately following the decimal point, which represents [tex]\( 5 \times 10^{-1} \)[/tex].
- The number 0.05 has a '5' in the second decimal place, which represents [tex]\( 5 \times 10^{-2} \)[/tex].
- The number 0.0005 has a '5' in the fourth decimal place, which represents [tex]\( 5 \times 10^{-4} \)[/tex].

Clearly, the more significant the position of the digit '5' after the decimal, the larger its value:
- [tex]\( 5 \times 10^{-1} = 0.5 \)[/tex]
- [tex]\( 5 \times 10^{-2} = 0.05 \)[/tex]
- [tex]\( 5 \times 10^{-4} = 0.0005 \)[/tex]

So, comparing these positions, we see that [tex]\( 0.5 \)[/tex] is the largest value, followed by [tex]\( 0.05 \)[/tex] and then [tex]\( 0.0005 \)[/tex].

Therefore, the decimal with the greatest value is:

0.5
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