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Which is a true statement?

A. 0.03 < 3.5 x 10^-3 < 1
B. 0.03 < < < 3.5 x 10^-3
C. 3.5 x 10^-3 < < 0.03
D. 3.5 x 10^-3 < 0.03 < x

User OroshiX
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1 Answer

4 votes

Final answer:

The true statement, based on the values provided, should be 3.5 x 10^-3 < 0.03 < 1, which correctly orders the numbers from smallest to largest. Options A, B, C, and D from the question are either incorrect or incomplete, so this correct statement is provided instead.

Step-by-step explanation:

The question asks which statement is true when comparing 0.03, 3.5 x 10-3, and 1 in value. We need to convert the scientific notation to a decimal to make the comparison easier.

Firstly, 3.5 x 10-3 is the same as 0.0035. Now we can clearly see that 0.0035 is less than 0.03, so any statement suggesting otherwise would be incorrect.

The first option A states: 0.03 < 3.5 x 10-3 < 1. This is not true because 0.0035 (which is 3.5 x 10-3) is not greater than 0.03.

The second option B seems incomplete and cannot be determined. Options C and D include a variable x without specifying its value, making it impossible to conclusively determine their truth without additional information.

Noting that there is no complete and correct option provided in the original question sample, let's write a correct statement based on the values we have: 3.5 x 10-3 < 0.03 < 1.

This statement properly orders the numbers from smallest to largest and is therefore a true statement.

User Fedeco
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