Problem Description:
The task involves filling in a hundreds chart based on the relationships of numbers: 10 more than, 10 less than, 1 more than, and 1 less than the number in the center box. The example provided shows how to fill in the boxes around the number 43.
Solution Approach:
1.
Identify the Center Number: Each group of boxes has a central number.
2.
Calculate the Required Numbers:
-
10 more than: Add 10 to the center number.
-
10 less than: Subtract 10 from the center number.
-
1 more than: Add 1 to the center number.
-
1 less than: Subtract 1 from the center number.
3.
Fill in the Boxes: Place the calculated numbers in the appropriate positions around the center number.
Step-by-Step Solution:
####
First Group (Center Number: 60)
-
10 more than 60: \( 60 + 10 = 70 \)
-
10 less than 60: \( 60 - 10 = 50 \)
-
1 more than 60: \( 60 + 1 = 61 \)
-
1 less than 60: \( 60 - 1 = 59 \)
Filled Boxes:
```
70
59 60 61
50
```
####
Second Group (Center Number: 12)
-
10 more than 12: \( 12 + 10 = 22 \)
-
10 less than 12: \( 12 - 10 = 2 \)
-
1 more than 12: \( 12 + 1 = 13 \)
-
1 less than 12: \( 12 - 1 = 11 \)
Filled Boxes:
```
22
11 12 13
2
```
####
Third Group (Center Number: 73)
-
10 more than 73: \( 73 + 10 = 83 \)
-
10 less than 73: \( 73 - 10 = 63 \)
-
1 more than 73: \( 73 + 1 = 74 \)
-
1 less than 73: \( 73 - 1 = 72 \)
Filled Boxes:
```
83
72 73 74
63
```
####
Fourth Group (Center Number: 40)
-
10 more than 40: \( 40 + 10 = 50 \)
-
10 less than 40: \( 40 - 10 = 30 \)
-
1 more than 40: \( 40 + 1 = 41 \)
-
1 less than 40: \( 40 - 1 = 39 \)
Filled Boxes:
```
50
39 40 41
30
```
####
Fifth Group (Center Number: 39)
-
10 more than 39: \( 39 + 10 = 49 \)
-
10 less than 39: \( 39 - 10 = 29 \)
-
1 more than 39: \( 39 + 1 = 40 \)
-
1 less than 39: \( 39 - 1 = 38 \)
Filled Boxes:
```
49
38 39 40
29
```
####
Sixth Group (Center Number: 66)
-
10 more than 66: \( 66 + 10 = 76 \)
-
10 less than 66: \( 66 - 10 = 56 \)
-
1 more than 66: \( 66 + 1 = 67 \)
-
1 less than 66: \( 66 - 1 = 65 \)
Filled Boxes:
```
76
65 66 67
56
```
####
Seventh Group (Center Number: 58)
-
10 more than 58: \( 58 + 10 = 68 \)
-
10 less than 58: \( 58 - 10 = 48 \)
-
1 more than 58: \( 58 + 1 = 59 \)
-
1 less than 58: \( 58 - 1 = 57 \)
Filled Boxes:
```
68
57 58 59
48
```
Final Answer:
```
First Group:
70
59 60 61
50
Second Group:
22
11 12 13
2
Third Group:
83
72 73 74
63
Fourth Group:
50
39 40 41
30
Fifth Group:
49
38 39 40
29
Sixth Group:
76
65 66 67
56
Seventh Group:
68
57 58 59
48
```
\boxed{
\begin{array}{ccc}
\text{First Group:} & \text{Second Group:} & \text{Third Group:} \\
\begin{array}{c}
70 \\
59 \ 60 \ 61 \\
50
\end{array} &
\begin{array}{c}
22 \\
11 \ 12 \ 13 \\
2
\end{array} &
\begin{array}{c}
83 \\
72 \ 73 \ 74 \\
63
\end{array} \\
\text{Fourth Group:} & \text{Fifth Group:} & \text{Sixth Group:} \\
\begin{array}{c}
50 \\
39 \ 40 \ 41 \\
30
\end{array} &
\begin{array}{c}
49 \\
38 \ 39 \ 40 \\
29
\end{array} &
\begin{array}{c}
76 \\
65 \ 66 \ 67 \\
56
\end{array} \\
\text{Seventh Group:} \\
\begin{array}{c}
68 \\
57 \ 58 \ 59 \\
48
\end{array}
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of 10 more and 10 less worksheet.