Question

What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 16 is in the divisor, 3426 is in the dividend, and 2 hundreds and 1 tens is written in the quotient. 3200 is subtracted from 3426 to give 226. An unknown value represented by a box is being subtracted from 226.

Answer 1

Answer:

The unknown value is being subtracted from 226 is 160

Step-by-step explanation:

Long division setup showing an incomplete calculation

• 16 is in the divisor

• 3426 is in the dividend

• 2 hundreds and 1 tens is written in the quotient

• 3200 is subtracted from 3426 to give 226

• An unknown value represented by a box is being subtracted from 226

so,

The dividend = 3426

 The divisor = 16

2 hundreds means 200 and 1 tens means 10

∵ The quotient = 200 + 10 + x

∵ Dividend = divisor × quotient

∴ (16 × 200) + (16 × 10) + (16 × x) +remainder  = 3426  

∵ 16 × 200 = 3200

Subtract 3200 from the dividend  

∴ 3426 - 3200 = 226

∵ 16 × 10 = 160

∴ 226- 160 = 66

⇒160is the unknown value

∵ 16 × x = 16x  

∵ 66 - 16x = 0

∴ 66 = 16x

- Divide both sides by 16

∴ x = 4  and remainder = 2

∴ 3426 ÷ 16 = 200 + 10 + 4

∴ 3426 ÷ 16 = 214  

∴ From the steps above the missing number subtracted from

  226 is 160

The unknown value is being subtracted from 226 is 160