Partial quotient is one of the ways of dividing expressions and numbers.
- The value that goes into the box is 2.
- The quotient is 22.
The quotient is given as:
[tex]\mathbf{352 \div 16}[/tex]
The first step is:
[tex]\mathbf{352 - (20 \times 16) = 32}[/tex]
The next step is:
[tex]\mathbf{32 - ([\ ] \times 16) = 0}[/tex]
Represent the blank with x
[tex]\mathbf{32 - (x \times 16) = 0}[/tex]
So, we have:
[tex]\mathbf{32 - 16x = 0}[/tex]
Collect like terms
[tex]\mathbf{16x = 32}[/tex]
Divide both sides by 2
[tex]\mathbf{x = 2}[/tex]
So, the value that goes into the box is 2.
The quotient is then calculated as:
[tex]\mathbf{Quotient = 20 + 2}[/tex]
[tex]\mathbf{Quotient = 22}[/tex]
Hence, the quotient is 22.
Read more about partial quotients at:
https://brainly.com/question/830526
