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Convert the following to decimals and match with the correct answer shown below:

I. 0.007
II. 0.06
III. 0.25
IV. 0.265
V. 0.5
VI. 5.6

1 Answer

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Final answer:

Converting numbers to decimals and calculating with significant figures in Mathematics requires careful attention to ensure the correct precision is represented in the final answer. The number of significant figures determines the preciseness of the result, and proper rounding should be used consistently.

Step-by-step explanation:

Converting different numerical expressions to decimals and working with significant figures falls under the subject of Mathematics, specifically related to decimal operations and significant figures. The calculations must be carried out with careful attention to the number of significant figures, as this impacts the precision of the results. When expressing the answers, always round them as necessary to reflect the correct number of significant figures.

Example

To convert the expression 5.6 to a decimal, it is already in decimal form, thus the answer is 5.6.

When adding 56.0 and 3.44, the result to the proper number of significant figures is 59.4 because 56.0 has three significant figures.

Multiplication and division with significant figures require that the final answer reflect the least certain value, such as in 0.6238 cm multiplied by 6.6 cm, where the result should be expressed with two significant figures, owing to 6.6 having only two significant figures.

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