Respuesta :

Answer:

24.4

Step-by-step explanation:

We are asked to divide 68.32 by 2.8.

First of all, we will write our given problem as a division problem.

[tex]\frac{68.32}{2.8}[/tex]

We can see that our numerator has two digits after decimal and denominator has one digit after decimal, so we will multiply numerator and denominator by 100 as:

[tex]\frac{68.32\times 100}{2.8\times 100}[/tex]

[tex]\frac{6832}{280}=24.4[/tex]

Therefore, the quotient of our given problem is 24.4.

24.4  

Further explanation  

We will determine the quotient of 68.32 against 2.8.  

Notes:

  • The division process is the arithmetic operation of the distribution of equal parts of a number.  
  • The division is the opposite of the multiplication process.  

         24.4  __

2.8 )  6 8 . 3 2  

       - 6 7 . 2 [tex]\downarrow[/tex]  

             1 . 1 2  

          - 1 . 1 2  

                   0  

Please see the attached picture.

The terminology of the division operation associated with the above scheme is as follows:  

  • [tex]\boxed{ \ 68.32 \rightarrow the \ dividend \ }[/tex]
  • [tex]\boxed{ \ 2.8 \rightarrow the \ divisor \ }[/tex]
  • [tex]\boxed{ \ 24.4 \rightarrow the \ quotient \ }[/tex]  
  • [tex]\boxed{ \ 0 \rightarrow the \ remainder \ }[/tex]

Therefore, 68.32 divided by 2.8 is divisible because the remainder is zero.

Thus, the quotient of 68.32 divided by 2.8 is 24.4.  

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Alternative Strategy

[tex]\boxed{ \ 68.32 = 56 + 12.32 \ }[/tex]

[tex]\boxed{ \ 68.32 \div 2.8 = (56 \div 2.8) + (12.32 \div 2.8) \ }[/tex]

[tex]\boxed{ \ 68.32 \div 2.8 = 20 + 4.4 \ }[/tex]

[tex]\boxed{\boxed{ \ 68.32 : 2.8 = 24.4 \ }}[/tex]

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Keywords: 68.32 divided by 2.8, find the quotient, 24.4, the division operation, dividend, divisor, the remainder, division scheme

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