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What will be the value of 3.725 after ro...

What will be the value of 3.725 after rounding off to three significant digits?

A

`3.73`

B

`3.72`

C

`3.71`

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To round off the number 3.725 to three significant digits, follow these steps: ### Step 1: Identify the significant digits The number 3.725 has four significant digits: 3, 7, 2, and 5. We need to round it to three significant digits. ### Step 2: Determine the digit to round To round to three significant digits, we look at the first three digits: 3, 7, and 2. The next digit (the fourth digit) is 5. ### Step 3: Apply rounding rules According to rounding rules: - If the digit following the last significant digit (in this case, the fourth digit, which is 5) is 5 or greater, we round up the last significant digit. - If it is less than 5, we leave the last significant digit unchanged. ### Step 4: Round the number Since the fourth digit is 5, we round up the last significant digit (2) by 1. Thus: - 2 becomes 3. ### Step 5: Write the final rounded number So, 3.725 rounded to three significant digits is 3.73. ### Final Answer: **3.73** ---

To round off the number 3.725 to three significant digits, follow these steps: ### Step 1: Identify the significant digits The number 3.725 has four significant digits: 3, 7, 2, and 5. We need to round it to three significant digits. ### Step 2: Determine the digit to round To round to three significant digits, we look at the first three digits: 3, 7, and 2. The next digit (the fourth digit) is 5. ...
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Knowledge Check

  • What will be the value of 3.735 after rounding off to three significant digits?

    A
    `3.73`
    B
    `3.74`
    C
    `3.72`
    D
    None of these
  • Round off 20.96 to three significant figures

    A
    `20.9`
    B
    `20`
    C
    `21.0`
    D
    `21`
  • 20.96 rounded off to 3 significant figures is

    A
    `21.0`
    B
    20
    C
    `21.1`
    D
    20.9
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