Let's solve this step by step. The task is to complete the table by representing numbers in
Dienes blocks,
numerals, and
words.
We'll go through each row one by one, using the information given and understanding how base ten blocks work:
-
Green long rods = 10 (each represents a "ten")
-
Yellow small squares = 1 (each represents a "one")
---
Row 1: Already completed
- Dienes Blocks: 3 green rods (30) + 2 yellow squares (2) → 32
- Numeral: 32
- Words: Thirty two
✔
---
Row 2:
- Dienes Blocks: 5 green rods (50) + 5 yellow squares (5) → 55
-
Numeral: 55
-
Words: Fifty five
✔
✔ So we fill in:
-
Numeral: 55
---
Row 3:
- Dienes Blocks: 6 green rods (60) + 1 yellow square (1) → 61
-
Numeral: 61
-
Words: Sixty one
✔ Fill in:
-
Numeral: 61
-
Words: Sixty one
---
Row 4:
- Numeral: 15
- So, 1 ten and 5 ones
- Dienes Blocks: 1 green rod + 5 yellow squares
- Words: Fifteen
✔ Fill in:
-
Dienes Blocks: Draw 1 green rod and 5 yellow squares
-
Words: Fifteen
---
Row 5:
- Words: Forty
- That means 40
- So, 4 tens and 0 ones
- Dienes Blocks: 4 green rods, no yellow squares
- Numeral: 40
✔ Fill in:
-
Dienes Blocks: 4 green rods
-
Numeral: 40
---
Row 6:
- Numeral: 96
- That’s 9 tens and 6 ones
- Dienes Blocks: 9 green rods + 6 yellow squares
- Words: Ninety six
✔ Fill in:
-
Dienes Blocks: 9 green rods + 6 yellow squares
-
Words: Ninety six
---
Row 7:
- Words: One hundred
- That’s 100
- So, 10 tens → 10 green rods
- But note: In base ten blocks, 100 is often represented as a
flat (a big square), but since we're only using rods and units, we use 10 rods.
- However, sometimes 100 is shown as a flat block, but here it's not provided. Since the image doesn't show it, we assume:
- 10 green rods (10 × 10 = 100)
- No yellow squares
- Numeral: 100
✔ Fill in:
-
Dienes Blocks: 10 green rods (or a flat if allowed, but likely 10 rods)
-
Numeral: 100
---
Row 8:
- Dienes Blocks: 7 green rods (70) + 5 yellow squares (5) → 75
-
Numeral: 75
-
Words: Seventy five
✔ Fill in:
-
Numeral: 75
-
Words: Seventy five
---
Final Completed Table:
| Dienes Blocks | Numerals | Words |
|---------------|----------|----------------|
| 3 rods, 2 units | 32 | Thirty two |
| 5 rods, 5 units | 55 | Fifty five |
| 6 rods, 1 unit | 61 | Sixty one |
| 1 rod, 5 units | 15 | Fifteen |
| 4 rods | 40 | Forty |
| 9 rods, 6 units | 96 | Ninety six |
| 10 rods | 100 | One hundred |
| 7 rods, 5 units | 75 | Seventy five |
---
Summary of Answers to Fill In:
1.
Row 2 (Numeral): 55
2.
Row 3 (Numeral & Words): 61, Sixty one
3.
Row 4 (Dienes & Words): 1 rod + 5 units, Fifteen
4.
Row 5 (Dienes & Numeral): 4 rods, 40
5.
Row 6 (Dienes & Words): 9 rods + 6 units, Ninety six
6.
Row 7 (Dienes & Numeral): 10 rods, 100
7.
Row 8 (Numeral & Words): 75, Seventy five
✔ All boxes are now filled correctly!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet through ten.