Problem: Solve the given number sentences and explain the solution.
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Section 1: Make these sums true.
We need to fill in the blanks to make each equation true.
1.
1 + □ = 5
- To find the missing number, subtract 1 from 5:
\[
5 - 1 = 4
\]
- So, the equation becomes: \( 1 + 4 = 5 \).
2.
□ + 3 = 7
- To find the missing number, subtract 3 from 7:
\[
7 - 3 = 4
\]
- So, the equation becomes: \( 4 + 3 = 7 \).
3.
2 + 6 = □
- Add 2 and 6:
\[
2 + 6 = 8
\]
- So, the equation becomes: \( 2 + 6 = 8 \).
4.
12 + 5 = □
- Add 12 and 5:
\[
12 + 5 = 17
\]
- So, the equation becomes: \( 12 + 5 = 17 \).
5.
14 + □ = 19
- To find the missing number, subtract 14 from 19:
\[
19 - 14 = 5
\]
- So, the equation becomes: \( 14 + 5 = 19 \).
6.
□ + 7 = 20
- To find the missing number, subtract 7 from 20:
\[
20 - 7 = 13
\]
- So, the equation becomes: \( 13 + 7 = 20 \).
Final answers for Section 1:
\[
\boxed{4, 4, 8, 17, 5, 13}
\]
---
####
Section 2: Colour the true sums. Cross out the false sums.
We need to evaluate each sum and determine if it is true or false.
1.
2 + 5 = 9
- Calculate: \( 2 + 5 = 7 \)
- This is false because \( 7 \neq 9 \).
-
Cross out: 2 + 5 = 9
2.
3 + 6 = 9
- Calculate: \( 3 + 6 = 9 \)
- This is true.
-
Colour: 3 + 6 = 9
3.
4 + 5 = 9
- Calculate: \( 4 + 5 = 9 \)
- This is true.
-
Colour: 4 + 5 = 9
4.
15 + 5 = 20
- Calculate: \( 15 + 5 = 20 \)
- This is true.
-
Colour: 15 + 5 = 20
5.
11 + 5 = 17
- Calculate: \( 11 + 5 = 16 \)
- This is false because \( 16 \neq 17 \).
-
Cross out: 11 + 5 = 17
6.
13 + 5 = 18
- Calculate: \( 13 + 5 = 18 \)
- This is true.
-
Colour: 13 + 5 = 18
Summary for Section 2:
- True sums: \( 3 + 6 = 9 \), \( 4 + 5 = 9 \), \( 15 + 5 = 20 \), \( 13 + 5 = 18 \)
- False sums: \( 2 + 5 = 9 \), \( 11 + 5 = 17 \)
---
####
Section 3: Write three sums which equal the same amount.
We need to write three different pairs of numbers that add up to the same totals: 10, 15, 18, and 20.
1.
Sums equal to 10:
- \( 1 + 9 = 10 \)
- \( 2 + 8 = 10 \)
- \( 3 + 7 = 10 \)
2.
Sums equal to 15:
- \( 6 + 9 = 15 \)
- \( 7 + 8 = 15 \)
- \( 5 + 10 = 15 \)
3.
Sums equal to 18:
- \( 9 + 9 = 18 \)
- \( 8 + 10 = 18 \)
- \( 7 + 11 = 18 \)
4.
Sums equal to 20:
- \( 10 + 10 = 20 \)
- \( 11 + 9 = 20 \)
- \( 12 + 8 = 20 \)
Final answers for Section 3:
\[
\boxed{
\begin{array}{l}
1 + 9 = 10, \, 2 + 8 = 10, \, 3 + 7 = 10 \\
6 + 9 = 15, \, 7 + 8 = 15, \, 5 + 10 = 15 \\
9 + 9 = 18, \, 8 + 10 = 18, \, 7 + 11 = 18 \\
10 + 10 = 20, \, 11 + 9 = 20, \, 12 + 8 = 20
\end{array}
}
\]
---
Final Answer:
\[
\boxed{4, 4, 8, 17, 5, 13}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet for lkg.