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Which of the following have same signifi...

Which of the following have same significant figures?

A

0.07

B

0.7

C

7

D

70

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given numbers have the same significant figures, we will analyze each option step by step. ### Step 1: Analyze the first number, 0.07 - The number 0.07 has a leading zero before the decimal point and a zero after the decimal point before the non-zero digit (7). - According to the rules of significant figures, leading zeros are not counted as significant. - Therefore, the only significant figure in 0.07 is the digit 7. - **Significant figures in 0.07: 1** ### Step 2: Analyze the second number, 0.7 - The number 0.7 also has a leading zero before the decimal point. - Again, the leading zero is not counted as significant. - The only significant figure in 0.7 is the digit 7. - **Significant figures in 0.7: 1** ### Step 3: Analyze the third number, 7 - The number 7 has no leading zeros or decimal points. - The digit 7 itself is significant. - **Significant figures in 7: 1** ### Step 4: Analyze the fourth number, 70 - The number 70 has a non-zero digit (7) followed by a zero. - In this case, the zero is considered significant because it follows a non-zero digit. - Therefore, both digits (7 and 0) are counted as significant figures. - **Significant figures in 70: 2** ### Conclusion - After analyzing all four numbers: - 0.07 has 1 significant figure. - 0.7 has 1 significant figure. - 7 has 1 significant figure. - 70 has 2 significant figures. - The numbers 0.07, 0.7, and 7 all have the same number of significant figures, which is 1. ### Final Answer The numbers that have the same significant figures are 0.07, 0.7, and 7, all with 1 significant figure. ---

To determine which of the given numbers have the same significant figures, we will analyze each option step by step. ### Step 1: Analyze the first number, 0.07 - The number 0.07 has a leading zero before the decimal point and a zero after the decimal point before the non-zero digit (7). - According to the rules of significant figures, leading zeros are not counted as significant. - Therefore, the only significant figure in 0.07 is the digit 7. - **Significant figures in 0.07: 1** ...
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