Let's solve this step-by-step based on the image you've provided.
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Understanding the Place Value Blocks
The worksheet uses
place value blocks to represent numbers:
-
Large cube (10×10×10) = 1,000 blocks
-
Flat square (10×10) = 100 blocks
-
Rod (10 blocks long) = 10 blocks
-
Single cube = 1 block
We are given a grid of these blocks:
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6 large cubes → each = 1,000 → total = 6 × 1,000 =
6,000
-
14 flat squares → each = 100 → total = 14 × 100 =
1,400
-
25 rods → each = 10 → total = 25 × 10 =
250
-
20 single cubes → each = 1 → total = 20 × 1 =
20
So,
total number of blocks available:
> 6,000 + 1,400 + 250 + 20 =
7,670 blocks
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Now let’s process each shading instruction:
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1) Shade 1,213 blocks red
- 1,213 = 1 thousand + 2 hundreds + 1 ten + 3 ones
- Use:
- 1 large cube (1,000)
- 2 flats (200)
- 1 rod (10)
- 3 singles (3)
→ Total shaded so far:
1,213
####
2) Shade 2,460 blocks blue
- 2,460 = 2 thousands + 4 hundreds + 6 tens + 0 ones
- Use:
- 2 large cubes (2,000)
- 4 flats (400)
- 6 rods (60)
- 0 singles
→ Total shaded now: 1,213 + 2,460 =
3,673
####
3) Shade 727 blocks yellow
- 727 = 7 hundreds + 2 tens + 7 ones
- Use:
- 7 flats (700)
- 2 rods (20)
- 7 singles (7)
→ Total shaded now: 3,673 + 727 =
4,400
####
4) Shade 2,085 blocks green
- 2,085 = 2 thousands + 0 hundreds + 8 tens + 5 ones
- Use:
- 2 large cubes (2,000)
- 0 flats
- 8 rods (80)
- 5 singles (5)
→ Total shaded now: 4,400 + 2,085 =
6,485
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Now, total blocks available: 7,670
Total shaded blocks:
> 1,213 (red) + 2,460 (blue) + 727 (yellow) + 2,085 (green) =
6,485
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Answer to Question 5: How many blocks are unshaded?
> Unshaded = Total blocks – Shaded blocks
> = 7,670 – 6,485 =
1,185
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✔ Final Answer:
5) 1,185 blocks are unshaded.
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🔍 Verification: Check if we have enough blocks for each step
Let’s verify availability:
-
Large cubes: 6 total
- Used: 1 (red) + 2 (blue) + 2 (green) = 5 → 1 left → OK
-
Flats: 14 total
- Used: 2 (red) + 4 (blue) + 7 (yellow) = 13 → 1 left → OK
-
Rods: 25 total
- Used: 1 (red) + 6 (blue) + 2 (yellow) + 8 (green) = 17 → 8 left → OK
-
Singles: 20 total
- Used: 3 (red) + 0 (blue) + 7 (yellow) + 5 (green) = 15 → 5 left → OK
All within limits!
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✔ Final Answer: 1,185 blocks are unshaded.
Parent Tip: Review the logic above to help your child master the concept of place value review worksheet 3rd.
