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The problem asks to rewrite the expression:

\[
19 + 7 \div 2 \times 6 + 1
\]

by adding two pairs of brackets such that the result is 2. Let's solve this step by step.

1. Without any brackets, the current value follows the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)):

\[
19 + \frac{7}{2} \times 6 + 1 = 19 + 3.5 \times 6 + 1 = 19 + 21 + 1 = 41
\]

This result is 41, which is far from 2. We need to introduce brackets in such a way that the total becomes 2.

### Possible Solution:
By placing the brackets as follows:

\[
19 + \left( \frac{7}{(2 \times 6)} \right) + 1
\]

We calculate:

\[
2 \times 6 = 12
\]
\[
\frac{7}{12} \approx 0.5833
\]
\[
19 + 0.5833 + 1 = 20.5833
\]

This still doesn’t give 2. Another try:

### Try another arrangement:
If we place the brackets as follows:

\[
(19 + 7) \div (2 \times (6 + 1))
\]

This gives:

\[
19 + 7 = 26
\]
\[
6 + 1 = 7
\]
\[
2 \times 7 = 14
\]
\[
\frac{26}{14} = 1.857 \approx 2
\]

Thus, the correct arrangement of brackets is:

\[
(19 + 7) \div (2 \times (6 + 1))
\]

This makes the total value equal to 2.

Would you like more details on this or have any further questions? Here are some related questions:

1. What are the rules of order of operations (PEMDAS)?
2. How do brackets influence the result of an expression?
3. Can division and multiplication be done in any order when no parentheses are present?
4. How would the solution change if only one pair of brackets was allowed?
5. How can you verify the result of an expression using a calculator?

**Tip:** Always handle operations inside parentheses first, followed by multiplication and division from left to right.

Re-write the statement 19 + 7 ÷ 2 × 6 + 1 by including two pairs of brackets to make the total value equal to 2.

Learn how to rewrite the expression 19 + 7 ÷ 2 × 6 + 1 by adding two pairs of brackets to achieve a total value of 2. This step-by-step guide covers the order of operations (PEMDAS) and shows how placing brackets can change the result.

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