Problem Description:
The task involves completing number bonds. A
number bond is a visual representation of how numbers can be split into parts or combined to form a whole. The goal is to fill in the missing numbers in each number bond so that the sum of the two parts equals the total shown at the top.
Solution Approach:
1.
Understand the Structure: Each number bond consists of:
- A total (the number at the top).
- Two parts (the numbers on the left and right sides).
- The missing part needs to be calculated such that the sum of the two parts equals the total.
2.
Formula: For any number bond:
\[
\text{Total} = \text{Part 1} + \text{Part 2}
\]
If one part is missing, it can be calculated as:
\[
\text{Missing Part} = \text{Total} - \text{Known Part}
\]
3.
Solve Each Number Bond:
- Use the formula above to find the missing part for each bond.
Step-by-Step Solution:
#### 1. First Row:
-
Bond 1: Total = 4, Parts = 3 and ?
\[
\text{Missing Part} = 4 - 3 = 1
\]
So, the bond is: \( 4 = 3 + 1 \).
-
Bond 2: Total = 2, Parts = ? and 1
\[
\text{Missing Part} = 2 - 1 = 1
\]
So, the bond is: \( 2 = 1 + 1 \).
#### 2. Second Row:
-
Bond 1: Total = 3, Parts = ? and 1
\[
\text{Missing Part} = 3 - 1 = 2
\]
So, the bond is: \( 3 = 2 + 1 \).
-
Bond 2: Total = 7, Parts = 2 and ?
\[
\text{Missing Part} = 7 - 2 = 5
\]
So, the bond is: \( 7 = 2 + 5 \).
#### 3. Third Row:
-
Bond 1: Total = 6, Parts = 4 and ?
\[
\text{Missing Part} = 6 - 4 = 2
\]
So, the bond is: \( 6 = 4 + 2 \).
-
Bond 2: Total = 5, Parts = ? and 2
\[
\text{Missing Part} = 5 - 2 = 3
\]
So, the bond is: \( 5 = 3 + 2 \).
#### 4. Fourth Row:
-
Bond 1: Total = 9, Parts = ? and 3
\[
\text{Missing Part} = 9 - 3 = 6
\]
So, the bond is: \( 9 = 6 + 3 \).
-
Bond 2: Total = 8, Parts = 4 and ?
\[
\text{Missing Part} = 8 - 4 = 4
\]
So, the bond is: \( 8 = 4 + 4 \).
Final Answer:
\[
\boxed{
\begin{array}{cc}
4 & 2 \\
3 & 1 \\
6 & 5 \\
9 & 6 \\
8 & 4 \\
\end{array}
}
\]
Explanation:
Each number bond has been completed by ensuring that the sum of the two parts equals the total. The missing parts were calculated using simple subtraction. This method helps reinforce the concept of addition and subtraction as inverse operations.
Parent Tip: Review the logic above to help your child master the concept of 2nd grade number bond worksheet.
