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how many significant figures in the number below? 4.56 × 10³ 6 3 4 5

Question

how many significant figures in the number below? 4.56 × 10³ 6 3 4 5

Explanation:

Step1: Recall significant figures rule for scientific notation

In scientific notation \( a \times 10^n \), the significant figures are determined by the coefficient \( a \). The power of 10 (\( 10^n \)) does not contribute to significant figures.

Step2: Analyze the coefficient \( 4.56 \)

The coefficient here is \( 4.56 \). We count the significant figures in the coefficient: 4, 5, and 6 are all significant. So there are 3 significant figures.

Answer:

B. 3 (assuming the purple option with 3 is labeled as B, if we follow the order of options: first green 6, then purple 3, then orange 4, then cyan 5. So the correct option is the one with 3, e.g., if options are A. 6, B. 3, C. 4, D. 5, then Answer is B. 3)