Question

Which answer choice shows how to find 352 ÷ 16 using partial quotients? Find the quotient and the value that goes in the box in Step 2. Step 1: Subtract (20 × 16) from 352 to get 32. Step 2: Subtract (☐ × 16) from 32 to get 0. Step 3: Add to find the quotient. A. □ = 1; 352 ÷ 16 = 21 B. □ = 1; 352 ÷ 16 = 32 C. □ = 2; 352 ÷ 16 = 22 D. □ = 2; 352 ÷ 16 = 52

Answer 1

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:

$\mathbf{352 \div 16}$

The first step is:

$\mathbf{352 - (20 \times 16) = 32}$

The next step is:

$\mathbf{32 - ([\ ] \times 16) = 0}$

Represent the blank with x

$\mathbf{32 - (x \times 16) = 0}$

So, we have:

$\mathbf{32 - 16x = 0}$

Collect like terms

$\mathbf{16x = 32}$

Divide both sides by 2

$\mathbf{x = 2}$

So, the value that goes into the box is 2.

The quotient is then calculated as:

$\mathbf{Quotient = 20 + 2}$

$\mathbf{Quotient = 22}$

Hence, the quotient is 22.

Read more about partial quotients at:

brainly.com/question/830526