Answer :
To solve the problem of identifying the leaf of [tex]\( 40 \mid 9 \)[/tex] given the key [tex]\( 13 \mid 7 = 137 \)[/tex], let's break down the process step-by-step.
1. Understanding the Key: The key [tex]\( 13 \mid 7 = 137 \)[/tex] implies that the number 137 is formed by taking the 'stem', which is 13, and the 'leaf', which is 7, and placing them together.
2. Analyzing the Given: We need to find the number represented by [tex]\( 40 \mid 9 \)[/tex] using a similar structure.
3. Combining the Stem and Leaf: Using the pattern from the key, we take the 'stem' 40 and the 'leaf' 9 and place them together to form a number.
4. Construct the Number: Thus, combining the stem 40 with the leaf 9 gives us the number 409.
So, the leaf of [tex]\( 40 \mid 9 \)[/tex], when following the structure of the key, represents the number 409.
1. Understanding the Key: The key [tex]\( 13 \mid 7 = 137 \)[/tex] implies that the number 137 is formed by taking the 'stem', which is 13, and the 'leaf', which is 7, and placing them together.
2. Analyzing the Given: We need to find the number represented by [tex]\( 40 \mid 9 \)[/tex] using a similar structure.
3. Combining the Stem and Leaf: Using the pattern from the key, we take the 'stem' 40 and the 'leaf' 9 and place them together to form a number.
4. Construct the Number: Thus, combining the stem 40 with the leaf 9 gives us the number 409.
So, the leaf of [tex]\( 40 \mid 9 \)[/tex], when following the structure of the key, represents the number 409.
