Problem Analysis:
The image provided is a worksheet titled "Number Tracing." It involves tracing numbers from 1 to 20. Below the tracing section, there is a question that asks students to think about the structure of numbers, specifically focusing on the number
10 and its components.
#### Key Points in the Question:
1.
Observation about 10: The worksheet notes that the number
10 has two parts:
- A
1 (representing ten ones).
- A
0 (representing zero extra ones).
2.
Extension to Other Numbers: The question then asks what this means for other numbers, specifically the numbers
11, 12, 13, 14, 15, 16, 17, 18, 19, 20.
Solution Approach:
To solve this problem, we need to analyze the structure of numbers similar to how
10 is described. Each number can be broken down into its tens and ones place values.
#### Step 1: Understanding Place Value
-
Tens Place: Represents how many groups of ten are in the number.
-
Ones Place: Represents the remaining units after accounting for the tens.
#### Step 2: Applying This to Specific Numbers
Let's break down each number from
11 to
20:
1.
11:
- Tens place:
1 (one group of ten).
- Ones place:
1 (one extra one).
- Meaning: 11 = 10 + 1.
2.
12:
- Tens place:
1 (one group of ten).
- Ones place:
2 (two extra ones).
- Meaning: 12 = 10 + 2.
3.
13:
- Tens place:
1 (one group of ten).
- Ones place:
3 (three extra ones).
- Meaning: 13 = 10 + 3.
4.
14:
- Tens place:
1 (one group of ten).
- Ones place:
4 (four extra ones).
- Meaning: 14 = 10 + 4.
5.
15:
- Tens place:
1 (one group of ten).
- Ones place:
5 (five extra ones).
- Meaning: 15 = 10 + 5.
6.
16:
- Tens place:
1 (one group of ten).
- Ones place:
6 (six extra ones).
- Meaning: 16 = 10 + 6.
7.
17:
- Tens place:
1 (one group of ten).
- Ones place:
7 (seven extra ones).
- Meaning: 17 = 10 + 7.
8.
18:
- Tens place:
1 (one group of ten).
- Ones place:
8 (eight extra ones).
- Meaning: 18 = 10 + 8.
9.
19:
- Tens place:
1 (one group of ten).
- Ones place:
9 (nine extra ones).
- Meaning: 19 = 10 + 9.
10.
20:
- Tens place:
2 (two groups of ten).
- Ones place:
0 (zero extra ones).
- Meaning: 20 = 20 + 0.
#### Step 3: Generalizing the Pattern
From the above breakdown, we see a clear pattern:
- Numbers
11 to 19 all have
1 in the tens place and vary in the ones place from
1 to 9.
- Number
20 has
2 in the tens place and
0 in the ones place.
This shows how each number is composed of its tens and ones components, similar to how
10 was described as having
1 ten and
0 ones.
Final Answer:
The meaning of this for the numbers
11 to 20 is that each number can be broken down into its
tens and
ones place values:
-
11 to 19: Each number has
1 ten and a varying number of ones (from
1 to 9).
-
20: This number has
2 tens and
0 ones.
Thus, the structure of these numbers follows the same principle as
10, where the digits represent the number of tens and ones.
$$
\boxed{\text{Each number from 11 to 20 can be expressed as the sum of its tens and ones place values.}}
$$
Parent Tip: Review the logic above to help your child master the concept of 123 tracing worksheet.
