The task in the image is about understanding
place value and breaking down numbers into their tens and ones components. Let's solve the problem step by step.
Problem Breakdown:
The worksheet shows three numbers:
35,
42, and
26. For each number, we need to:
1. Identify the place value (tens and ones).
2. Write the number as a sum of its tens and ones.
3. Represent the number using base-10 blocks (if applicable).
---
Step-by-Step Solution:
####
Number 1: 35
-
Place Value:
- The digit
3 is in the tens place, which means it represents
3 tens.
- The digit
5 is in the ones place, which means it represents
5 ones.
- Therefore,
35 = 3 tens + 5 ones.
-
Sum Representation:
- Since 3 tens = 30 and 5 ones = 5, we can write:
\[
35 = 30 + 5
\]
-
Base-10 Blocks:
- Draw 3 long rectangles (each representing 10) and 5 small squares (each representing 1).
####
Number 2: 42
-
Place Value:
- The digit
4 is in the tens place, which means it represents
4 tens.
- The digit
2 is in the ones place, which means it represents
2 ones.
- Therefore,
42 = 4 tens + 2 ones.
-
Sum Representation:
- Since 4 tens = 40 and 2 ones = 2, we can write:
\[
42 = 40 + 2
\]
-
Base-10 Blocks:
- Draw 4 long rectangles (each representing 10) and 2 small squares (each representing 1).
####
Number 3: 26
-
Place Value:
- The digit
2 is in the tens place, which means it represents
2 tens.
- The digit
6 is in the ones place, which means it represents
6 ones.
- Therefore,
26 = 2 tens + 6 ones.
-
Sum Representation:
- Since 2 tens = 20 and 6 ones = 6, we can write:
\[
26 = 20 + 6
\]
-
Base-10 Blocks:
- Draw 2 long rectangles (each representing 10) and 6 small squares (each representing 1).
---
Final Answer:
The completed worksheet should look like this:
| Number | Place Value | Sum Representation | Base-10 Blocks |
|--------|-------------------|--------------------|----------------|
| 35 | 3 tens, 5 ones | 30 + 5 | [Draw 3 longs, 5 units] |
| 42 | 4 tens, 2 ones | 40 + 2 | [Draw 4 longs, 2 units] |
| 26 | 2 tens, 6 ones | 20 + 6 | [Draw 2 longs, 6 units] |
---
Explanation:
-
Place Value: Each digit in a number has a specific value based on its position. The leftmost digit represents the tens, and the rightmost digit represents the ones.
-
Sum Representation: Breaking the number into its tens and ones components helps understand how the digits contribute to the total value.
-
Base-10 Blocks: These are visual aids that represent tens (long rectangles) and ones (small squares), making it easier to visualize the place value.
Thus, the final answer is:
\[
\boxed{35 = 30 + 5, \, 42 = 40 + 2, \, 26 = 20 + 6}
\]
Parent Tip: Review the logic above to help your child master the concept of place value cut and paste worksheet.
