https://r2.erweima.ai/mathbot/image/1723881083157u7j7qj1m.jpg

Fill the box with the operators and the result is 8

To solve this problem, you need to place the correct mathematical operators (`+`, `-`, `×`, `÷`) in the boxes provided such that the resulting equation equals 8.

The sequence given is:

\[
\_\ 3\ \_\ 3\ \_\ 3\ \_\ 3 = 8
\]

Let's try to find the correct combination of operators:

1. **Try using `+` and `-`:**
   - \( 3 + 3 + 3 - 3 = 6 \) (not equal to 8)

2. **Try using `×` and `+`:**
   - \( 3 × 3 + 3 - 3 = 9 \) (not equal to 8)
   - \( 3 × 3 - 3 + 3 = 9 \) (not equal to 8)

3. **Try using `×`, `÷`, and `+`:**
   - \( 3 × 3 ÷ 3 + 3 = 3 + 3 + 3 = 9 \) (not equal to 8)

4. **Try a combination with division and subtraction:**
   - \( 3 ÷ 3 + 3 × 3 = 1 + 9 = 10 \) (not equal to 8)

After testing different combinations, the solution is:

\[
3 × 3 - 3 ÷ 3 = 8
\]

The correct operators are:

\[
3 \times 3 - 3 \div 3 = 8
\]

Would you like further details or have any other questions? Here are five related questions that can expand on this concept:

1. What would the result be if all operations were addition?
2. Can you find another combination of operations to make 8 using the numbers provided?
3. How would the solution change if the goal was to equal 9 instead of 8?
4. What is the role of operator precedence in solving this problem?
5. How can this problem be solved using algebraic expressions?

**Tip:** When solving problems that involve multiple operations, always consider the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Learn how to solve the problem of filling a series of boxes with mathematical operators (`+`, `-`, `×`, `÷`) to achieve a result of 8. This problem focuses on arithmetic operations and the order of operations (PEMDAS). Suitable for students in Grade 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation