The value of

2.8

correct to two decimal places is ____.

Question

The value of

2.8

correct to two decimal places is ____.

Accepted Answer

The value of

2.8

correct to two decimal places is 1.67.The given number is 2.8.Add the necessary number of zeros to a number with only one decimal place for the decimal to create two pairs of digits.

⇒2.8=2.8000

=
    2
    ¯
   
   .
    
     80
    ¯

00
    ¯

Now, determine the number having squares equal to or less than the digits under the first overline.We have

1
    1
   
   <2<
    2
    2
   
   .
  So, 1 is the largest number whose square is less than or equal to 1.Lower the value in the next bar over to the right of the remainder. i.e., bring 80 to the right of 1.Now, the new dividend is 180.Then, the new divisor should be double of the previous one. The double of the divisor 1 is 2.Locate the digit to complete the number. To ensure that the result of multiplying the new divisor by the new quotient is less than or equal to the dividend, fill in the blank with the largest digit you can think of. This digit will also become the new digit.In this case,

26×6=156
  which is less than 180. So, we put 6 to the right of 2 and complete the division.Then, the new divisor should be double of the previous one. Add a blank to the right of it. The double of divisor 16 is 32.Locate the digit to complete the number. To ensure that the result of multiplying the new divisor by the new quotient is less than or equal to the dividend, fill in the blank with the largest digit you can think of. This digit will also become the new digit in the quotient. In this case,

327×7=2289
  which is less than 2400. So, we put 7 to the right of 32 and complete the division.The quotient is now 1.67, so we have obtained up to two decimal places.Thus, the square root of 2.8 corrected up to two decimal places is 1.67.

The value of $2.8$ correct to two decimal places is ____.

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