Tanvi tried to evaluate the expression 

7

×

[

(

19

–

1

)

÷

2

]

.

 Here is her work:

7

×

[

(

19

–

1

)

÷

2

]

=

7

×

[

18

÷

2

]

Step 1

=

7

×

9

Step 2

=

63

Step 3

Is Tanvi's work correct?




Yes, Tanvi's work is correct. Let's evaluate the expression step by step to confirm.

The expression is:

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

1. **Step 1**: Start by performing the operation inside the parentheses.
   \[
   19 - 1 = 18
   \]
   Now, the expression becomes:
   \[
   7 \times \left[ \frac{18}{2} \right]
   \]

2. **Step 2**: Next, perform the division inside the brackets.
   \[
   \frac{18}{2} = 9
   \]
   The expression is now:
   \[
   7 \times 9
   \]

3. **Step 3**: Finally, perform the multiplication.
   \[
   7 \times 9 = 63
   \]

Tanvi correctly followed the order of operations, and her final answer of 63 is correct.

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What is the value of \( 5 \times \left[ (12 - 4) \div 4 \right] \)?
2. How would you evaluate \( 8 \times \left[ (20 + 10) \div 5 \right] \)?
3. What is the correct result for \( 3 \times \left[ (15 - 3) \div 3 \right] \)?
4. If the expression were \( 7 \times \left[ \frac{(19 - 1)}{4} \right] \), what would the result be?
5. How does changing the operation inside the parentheses to addition affect the result?

**Tip:** Always work from the innermost parentheses outward and follow the order of operations.

Understand how to evaluate the expression 7 multiplied by the quantity of 19 minus 1 divided by 2 step-by-step. This problem involves basic arithmetic operations and order of operations principles, suitable for students in Grades 5-7.

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