Question

use multiplication to check the following answer. if the answer is incorrect, find the correct answer.
\\(\

$$\begin{array}{r}\\ 2006\\ r4\\\\7\\enclose{longdiv}{14,046}\\end{array}$$

\\)
select the correct choice below and fill in the answer boxes to complete your choice.
\\(\bigcirc\\) a. the answer is correct, because \\((7 \times \square) + \square = \square\\).
\\(\bigcirc\\) b. the answer is incorrect, because the correct quotient is \\(\square\\), and the correct remainder is \\(\square\\).

Explanation:

Step1: Recall division formula

In division, \(\text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder}\). Here, divisor is \(7\), quotient is \(2006\), remainder is \(4\), and dividend is \(14046\).

Step2: Calculate \(7\times2006 + 4\)

First, calculate \(7\times2006\): \(7\times2000 = 14000\), \(7\times6 = 42\), so \(7\times2006=14000 + 42=14042\). Then add the remainder: \(14042+4 = 14046\), which matches the dividend.

Answer:

A. The answer is correct, because \((7\times 2006)+ 4=14046\).