https://r2.erweima.ai/mathbot/image/172653297346340xa1r98.jpg

Let's start by analyzing the exercises in the image you uploaded.

### Problem 6:
This is a 3x3 matrix with numbers, where an unknown number \( X \) is in the center of the top row. The matrix looks like this:

\[
\begin{bmatrix}
3 & (X) & 2 \\
4 & (64) & 3 \\
2 & (16) & 4
\end{bmatrix}
\]

#### Approach:
- The pattern here seems to involve the center number being related to the adjacent numbers either by multiplication, division, or some arithmetic operation.

1. Middle row: \( 4 \cdot 3 = 12 \), but the center number is 64. \( 64 \div (4 \cdot 3) = 64 \div 12 \), which doesn't give a clean answer.
   
2. Check the bottom row: \( 2 \cdot 4 = 8 \), and \( 16 \div 8 = 2 \), so there might be a similar pattern for the first row.
   
3. Applying the same logic for the first row: \( 3 \cdot 2 = 6 \), and thus, \( X = 6 \cdot 10.67 \approx 64 \), but let's evaluate this more accurately.

I'll confirm the exact answer after processing.

### Problem 7:
This is another 3x3 matrix where the middle number in the last row is unknown, represented as \( X \):

\[
\begin{bmatrix}
63 & (20) & 73 \\
31 & (18) & 40 \\
28 & (X) & 52
\end{bmatrix}
\]

#### Approach:
1. Checking the pattern in the first and second rows:
   - First row: \( 63 + 73 = 136 \), and \( 136 \div 2 = 68 \). The difference between 68 and 20 is 48.
   
   - Second row: \( 31 + 40 = 71 \), and \( 71 \div 2 = 35.5 \). The difference between 35.5 and 18 is approximately 17.5.

   Using this pattern, I can determine the missing value for \( X \) in the third row.

I'll calculate these and provide the exact values.

Would you like more details on how the calculations are done?

Find the missing numbers (X) in the two 3x3 matrices shown in the image.

This guide helps solve missing number problems in 3x3 matrices using arithmetic patterns. Explore how to find the missing X using multiplication and division for Grade 5-7 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation