Simplify the expression: 6⋅7−6+66⋅7-6+6


To simplify the expression:

\[
6 \cdot 7 - 6 + 66 \cdot 7 - 6 + 6
\]

Follow these steps:

1. Multiply \(6\) by \(7\):

\[
6 \cdot 7 = 42
\]

2. Multiply \(66\) by \(7\):

\[
66 \cdot 7 = 462
\]

3. Substitute these results back into the expression:

\[
42 - 6 + 462 - 6 + 6
\]

4. Simplify by performing the addition and subtraction:

\[
42 - 6 = 36
\]
\[
462 - 6 = 456
\]
\[
36 + 456 + 6 = 498
\]

So, the simplified expression is:

\[
498
\]

Would you like more details or have any questions? Here are 5 related questions you could explore:

1. How would the result change if the \(66\) was replaced with a different number?
2. What if the expression included division instead of multiplication?
3. Can you factor the expression before simplifying it?
4. How would you simplify if the numbers were fractions?
5. How does distributing work in an expression like \(6(7-1) + 66(7-1) + 6\)?

**Tip:** Always follow the order of operations—parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right)—to ensure accuracy in simplifying expressions.

Learn how to simplify the expression 6⋅7−6+66⋅7-6+6 step-by-step. Understand the order of operations, multiplication, addition, and subtraction involved in this mathematical problem. Suitable for Grades 5-8 students.

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