How many significant figures are in each of the following measurements? (a) 35.0445 g

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Identify all the digits in the measurement, including zeros.

Determine which zeros are significant. Remember that any zeros between non-zero digits are significant.

Count all the significant digits. In this case, all digits including zeros between the non-zero digits are significant.

Verify that trailing zeros after a decimal point are also significant.

Sum up the total number of significant figures in the measurement.

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Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements in scientific contexts.

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01:09

Significant Figures Example

Rules for Counting Significant Figures

There are specific rules for determining the number of significant figures in a measurement. Non-zero digits are always significant, zeros between significant digits are significant, and leading zeros are not. Trailing zeros in a decimal number are significant, while those in a whole number without a decimal point are not.

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04:40

Significant Figures Rules

Precision vs. Accuracy

Precision refers to the consistency of repeated measurements, while accuracy indicates how close a measurement is to the true value. In the context of significant figures, a higher number of significant figures typically reflects greater precision in the measurement, which is essential for scientific calculations and reporting.

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