Worksheets for practicing multiplication and division of decimals by 10, 100, and 1000.
Three identical worksheets titled "Multiplying and Dividing Decimals by 10, 100 and 1000" with tables for practicing decimal multiplication and division.
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Step-by-step solution for: Multiplying and Dividing Decimals by 10 100 and 1000 Worksheet ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying and Dividing Decimals by 10 100 and 1000 Worksheet ...
Let’s solve each part of the worksheet step by step. We’ll go section by section, and I’ll show you how to multiply and divide decimals by 10, 100, and 1000.
---
We move the decimal point to the right:
- ×10 → move decimal 1 place right
- ×100 → move decimal 2 places right
- ×1000 → move decimal 3 places right
Example: 5.7
- ×10 = 57 (move decimal once: 5.7 → 57)
- ×100 = 570 (move twice: 5.7 → 57 → 570)
- ×1000 = 5700 (move thrice: 5.7 → 57 → 570 → 5700)
Now let’s do all:
#### First table:
| Number | ×10 | ×100 | ×1000 |
|--------|-------|-------|-------|
| 5.7 | 57 | 570 | 5700 |
| 23.62 | 236.2 | 2362 | 23620 |
| 8.41 | 84.1 | 841 | 8410 |
| 0.296 | 2.96 | 29.6 | 296 |
| 24.27 | 242.7 | 2427 | 24270 |
✔ Check: For 0.296 × 1000 → move decimal 3 places: 0.296 → 2.96 → 29.6 → 296 ✔️
---
We move the decimal point to the left:
- ÷10 → move decimal 1 place left
- ÷100 → move decimal 2 places left
- ÷1000 → move decimal 3 places left
Example: 43
- ÷10 = 4.3
- ÷100 = 0.43
- ÷1000 = 0.043
#### Second table:
| Number | ÷10 | ÷100 | ÷1000 |
|--------|-------|-------|-------|
| 43 | 4.3 | 0.43 | 0.043 |
| 219 | 21.9 | 2.19 | 0.219 |
| 703 | 70.3 | 7.03 | 0.703 |
| 64.9 | 6.49 | 0.649 | 0.0649|
| 2560 | 256 | 25.6 | 2.56 |
✔ Check: 2560 ÷ 1000 = 2.56 ✔️ (move decimal 3 left: 2560. → 256.0 → 25.60 → 2.560)
---
These are reverse problems — we’re given the result after multiplying or dividing, and need to find what was done.
#### Third table:
First row:
? × 10 = 607 → So ? = 607 ÷ 10 = 60.7
Second row:
? × 100 = 17.4 → So ? = 17.4 ÷ 100 = 0.174
Third row:
? × 1000 = 2057 → So ? = 2057 ÷ 1000 = 2.057
Fourth row:
? ÷ 10 = 0.193 → So ? = 0.193 × 10 = 1.93
Fifth row:
? ÷ 1000 = 921 → So ? = 921 × 1000 = 921000
Sixth row:
? ÷ 100 = 17.609 → So ? = 17.609 × 100 = 1760.9
Seventh row:
? ÷ 10 = 5.8 → So ? = 5.8 × 10 = 58
Eighth row:
? ÷ 1000 = 0.37 → So ? = 0.37 × 1000 = 370
Wait — looking at the layout again, it seems like there are two columns per operation? Let me recheck the original structure.
Actually, in the third section, it says “Complete the following sets” with three columns: one for ×10, ×100, ×1000 on top, then below that another set with ÷10, ÷100, ÷1000.
But in the image, it's arranged as:
Left side:
×10 → 607
×100 → 17.4
×1000 → 2057
Right side:
÷10 → 0.193
÷100 → 921
÷1000 → 17.609
And also:
÷10 → 5.8
÷1000 → 0.37
So actually, these are separate equations where you have to find the original number.
Let me list them clearly:
Set A (multiplication):
1. ___ × 10 = 607 → answer: 60.7
2. ___ × 100 = 17.4 → answer: 0.174
3. ___ × 1000 = 2057 → answer: 2.057
Set B (division):
4. ___ ÷ 10 = 0.193 → answer: 1.93
5. ___ ÷ 100 = 921 → answer: 92100
6. ___ ÷ 1000 = 17.609 → answer: 17609
7. ___ ÷ 10 = 5.8 → answer: 58
8. ___ ÷ 1000 = 0.37 → answer: 370
Wait — but in the image, under "Complete the following sets", it shows:
Top row:
[blank] ×10 = 607
[blank] ×100 = 17.4
[blank] ×1000 = 2057
Bottom row:
[blank] ÷10 = 0.193
[blank] ÷100 = 921
[blank] ÷1000 = 17.609
Then next to that:
[blank] ÷10 = 5.8
[blank] ÷1000 = 0.37
So total 8 blanks.
Let’s fill them:
1. 60.7 × 10 = 607 → ✔
2. 0.174 × 100 = 17.4 → ✔
3. 2.057 × 1000 = 2057 → ✔
4. 1.93 ÷ 10 = 0.193 → ✔
5. 92100 ÷ 100 = 921 → ✔
6. 17609 ÷ 1000 = 17.609 → ✔
7. 58 ÷ 10 = 5.8 → ✔
8. 370 ÷ 1000 = 0.37 → ✔
Perfect.
---
Same pattern.
#### Multiply:
Numbers: 6.65, 0.014, 24.204, 289.617, 0.034
×10, ×100, ×1000
Do each:
6.65
- ×10 = 66.5
- ×100 = 665
- ×1000 = 6650
0.014
- ×10 = 0.14
- ×100 = 1.4
- ×1000 = 14
24.204
- ×10 = 242.04
- ×100 = 2420.4
- ×1000 = 24204
289.617
- ×10 = 2896.17
- ×100 = 28961.7
- ×1000 = 289617
0.034
- ×10 = 0.34
- ×100 = 3.4
- ×1000 = 34
#### Divide:
Numbers: 50.8, 209, 5.78, 979.4, 0.072
÷10, ÷100, ÷1000
50.8
- ÷10 = 5.08
- ÷100 = 0.508
- ÷1000 = 0.0508
209
- ÷10 = 20.9
- ÷100 = 2.09
- ÷1000 = 0.209
5.78
- ÷10 = 0.578
- ÷100 = 0.0578
- ÷1000 = 0.00578
979.4
- ÷10 = 97.94
- ÷100 = 9.794
- ÷1000 = 0.9794
0.072
- ÷10 = 0.0072
- ÷100 = 0.00072
- ÷1000 = 0.000072
#### Complete missing values:
Given:
___ ×1000 = 637 → ? = 637 ÷ 1000 = 0.637
___ ×100 = 921 → ? = 921 ÷ 100 = 9.21
___ ÷10 = 17.609 → ? = 17.609 × 10 = 176.09
___ ÷100 = 5.8 → ? = 5.8 × 100 = 580
___ ÷1000 = 0.37 → ? = 0.37 × 1000 = 370
Wait — looking at the layout again, it might be grouped differently. But based on standard interpretation, these are individual equations.
In the image, under “Complete the following sets”:
Top:
[ ] ×1000 = 637 → 0.637
[ ] ×100 = 921 → 9.21
Bottom:
[ ] ÷10 = 17.609 → 176.09
[ ] ÷100 = 5.8 → 580
[ ] ÷1000 = 0.37 → 370
Yes.
---
#### Multiply:
Numbers: 0.029, 1,493.612, 600.001
×10, ×100, ×1000
0.029
- ×10 = 0.29
- ×100 = 2.9
- ×1000 = 29
1,493.612
- ×10 = 14936.12
- ×100 = 149361.2
- ×1000 = 1493612
600.001
- ×10 = 6000.01
- ×100 = 60000.1
- ×1000 = 600001
#### Divide:
Numbers: 6.08, 211.9, 9.99, 465.04
÷10, ÷100, ÷1000
6.08
- ÷10 = 0.608
- ÷100 = 0.0608
- ÷1000 = 0.00608
211.9
- ÷10 = 21.19
- ÷100 = 2.119
- ÷1000 = 0.2119
9.99
- ÷10 = 0.999
- ÷100 = 0.0999
- ÷1000 = 0.00999
465.04
- ÷10 = 46.504
- ÷100 = 4.6504
- ÷1000 = 0.46504
#### Complete missing values:
Given:
___ ×1000 = 6.43 → ? = 6.43 ÷ 1000 = 0.00643
___ ×100 = 0.503 → ? = 0.503 ÷ 100 = 0.00503
___ ÷10 = 1.18 → ? = 1.18 × 10 = 11.8
___ ÷100 = 55.6 → ? = 55.6 × 100 = 5560
Also, last part: “Complete this table, using your own calculations.”
It has a blank table with headers: ×, ÷100, ÷10
And rows for two numbers? Or just one example?
Looking at the image, it says:
“Complete this table, using your own calculations.”
With columns: [number], ×, ÷100, ÷10
Probably means pick a number and fill in.
Since it’s open-ended, I’ll choose a simple number, say 50.
So:
Number: 50
× (probably ×10?) — wait, header is “×”, which might mean ×10? But not specified.
Looking back at previous sections, when they say “×” alone, it often means ×10.
But to be safe, let’s assume it’s ×10, since that’s common.
So if number is 50:
- ×10 = 500
- ÷100 = 0.5
- ÷10 = 5
But the table has only three columns: first is the number, then “×”, then “÷100”, then “÷10”
So perhaps:
| Number | ×10 | ÷100 | ÷10 |
|--------|-----|------|-----|
| 50 | 500 | 0.5 | 5 |
You can choose any number. Let’s use 100 for simplicity.
If number = 100:
- ×10 = 1000
- ÷100 = 1
- ÷10 = 10
Or 25:
- ×10 = 250
- ÷100 = 0.25
- ÷10 = 2.5
I think any reasonable number is fine. Since the instruction says “using your own calculations”, I’ll provide one example.
Let’s use 80.
So:
Number: 80
×10 = 800
÷100 = 0.8
÷10 = 8
---
Now, compiling all answers into final format.
Note: The user didn’t ask for explanation, so according to rules, since ExplainAnswer=false, TeachTopic=false, GeneratePractice=false, we only output Final Answer.
But the Final Answer should contain all solved parts.
However, the problem is large — multiple tables. How to present?
Perhaps list all filled tables concisely.
Since it’s homework, maybe group by page.
But to keep it clean, I’ll summarize each section with the completed values.
Final Answer will include all numerical answers in order.
Let me organize:
---
Page 1:
*Multiply:*
5.7 → 57, 570, 5700
23.62 → 236.2, 2362, 23620
8.41 → 84.1, 841, 8410
0.296 → 2.96, 29.6, 296
24.27 → 242.7, 2427, 24270
*Divide:*
43 → 4.3, 0.43, 0.043
219 → 21.9, 2.19, 0.219
703 → 70.3, 7.03, 0.703
64.9 → 6.49, 0.649, 0.0649
2560 → 256, 25.6, 2.56
*Missing values:*
60.7, 0.174, 2.057, 1.93, 92100, 17609, 58, 370
Wait — earlier I had for division: ___ ÷100 = 921 → 92100, yes.
But in the image, for the third section, the division part has:
___ ÷10 = 0.193 → 1.93
___ ÷100 = 921 → 92100
___ ÷1000 = 17.609 → 17609
___ ÷10 = 5.8 → 58
___ ÷1000 = 0.37 → 370
Yes.
---
Page 2:
*Multiply:*
6.65 → 66.5, 665, 6650
0.014 → 0.14, 1.4, 14
24.204 → 242.04, 2420.4, 24204
289.617 → 2896.17, 28961.7, 289617
0.034 → 0.34, 3.4, 34
*Divide:*
50.8 → 5.08, 0.508, 0.0508
209 → 20.9, 2.09, 0.209
5.78 → 0.578, 0.0578, 0.00578
979.4 → 97.94, 9.794, 0.9794
0.072 → 0.0072, 0.00072, 0.000072
*Missing values:*
0.637, 9.21, 176.09, 580, 370
---
Page 3:
*Multiply:*
0.029 → 0.29, 2.9, 29
1493.612 → 14936.12, 149361.2, 1493612
600.001 → 6000.01, 60000.1, 600001
*Divide:*
6.08 → 0.608, 0.0608, 0.00608
211.9 → 21.19, 2.119, 0.2119
9.99 → 0.999, 0.0999, 0.00999
465.04 → 46.504, 4.6504, 0.46504
*Missing values:*
0.00643, 0.00503, 11.8, 5560
*Own calculation table (example with 80):*
Number: 80
×10 = 800
÷100 = 0.8
÷10 = 8
---
Now, for the Final Answer, since it's a lot, I'll present it as a structured summary.
But note: the user may expect the answers in the same order as the worksheet.
To make it clear, I'll list each section with its answers.
Final Answer:
Page 1 - Multiply:
5.7: 57, 570, 5700
23.62: 236.2, 2362, 23620
8.41: 84.1, 841, 8410
0.296: 2.96, 29.6, 296
24.27: 242.7, 2427, 24270
Page 1 - Divide:
43: 4.3, 0.43, 0.043
219: 21.9, 2.19, 0.219
703: 70.3, 7.03, 0.703
64.9: 6.49, 0.649, 0.0649
2560: 256, 25.6, 2.56
Page 1 - Missing Values:
60.7, 0.174, 2.057, 1.93, 92100, 17609, 58, 370
Page 2 - Multiply:
6.65: 66.5, 665, 6650
0.014: 0.14, 1.4, 14
24.204: 242.04, 2420.4, 24204
289.617: 2896.17, 28961.7, 289617
0.034: 0.34, 3.4, 34
Page 2 - Divide:
50.8: 5.08, 0.508, 0.0508
209: 20.9, 2.09, 0.209
5.78: 0.578, 0.0578, 0.00578
979.4: 97.94, 9.794, 0.9794
0.072: 0.0072, 0.00072, 0.000072
Page 2 - Missing Values:
0.637, 9.21, 176.09, 580, 370
Page 3 - Multiply:
0.029: 0.29, 2.9, 29
1493.612: 14936.12, 149361.2, 1493612
600.001: 6000.01, 60000.1, 600001
Page 3 - Divide:
6.08: 0.608, 0.0608, 0.00608
211.9: 21.19, 2.119, 0.2119
9.99: 0.999, 0.0999, 0.00999
465.04: 46.504, 4.6504, 0.46504
Page 3 - Missing Values:
0.00643, 0.00503, 11.8, 5560
Page 3 - Own Calculation Table (example):
Choose number: 80
×10 = 800
÷100 = 0.8
÷10 = 8
This covers all parts. I've double-checked several calculations mentally and they seem correct.
For instance:
- 0.296 × 1000 = 296 ✔️
- 2560 ÷ 1000 = 2.56 ✔️
- 92100 ÷ 100 = 921 ✔️
- 0.014 × 1000 = 14 ✔️
- 0.072 ÷ 1000 = 0.000072 ✔️
- 600.001 × 1000 = 600001 ✔️
- 465.04 ÷ 100 = 4.6504 ✔️
All good.
Final Answer:
[As above, but since it's long, I'll write it compactly in the box.]
But the instruction says "provide only the final correct answer" after reasoning — but since no options are true, and we must output Final Answer, I'll put the entire solution set.
Perhaps format it as:
Final Answer:
Page 1 Multiply: [57,570,5700], [236.2,2362,23620], [84.1,841,8410], [2.96,29.6,296], [242.7,2427,24270]
Page 1 Divide: [4.3,0.43,0.043], [21.9,2.19,0.219], [70.3,7.03,0.703], [6.49,0.649,0.0649], [256,25.6,2.56]
Page 1 Missing: 60.7, 0.174, 2.057, 1.93, 92100, 17609, 58, 370
Page 2 Multiply: [66.5,665,6650], [0.14,1.4,14], [242.04,2420.4,24204], [2896.17,28961.7,289617], [0.34,3.4,34]
Page 2 Divide: [5.08,0.508,0.0508], [20.9,2.09,0.209], [0.578,0.0578,0.00578], [97.94,9.794,0.9794], [0.0072,0.00072,0.000072]
Page 2 Missing: 0.637, 9.21, 176.09, 580, 370
Page 3 Multiply: [0.29,2.9,29], [14936.12,149361.2,1493612], [6000.01,60000.1,600001]
Page 3 Divide: [0.608,0.0608,0.00608], [21.19,2.119,0.2119], [0.999,0.0999,0.00999], [46.504,4.6504,0.46504]
Page 3 Missing: 0.00643, 0.00503, 11.8, 5560
Page 3 Own Calc: e.g., 80 → 800, 0.8, 8
But to save space, and since it's for a student, perhaps just state that all tables are filled as per standard decimal movement rules, and provide key examples.
However, the safest way is to output the complete answer as requested.
Given the constraints, I'll write the Final Answer as a concise list of all required values in order.
But note: the "own calculation" is open, so I'll specify an example.
Final Answer:
All multiplication and division results are obtained by moving the decimal point right for multiplication and left for division by powers of 10. Specific answers:
Page 1:
- Multiply: 5.7→57,570,5700; 23.62→236.2,2362,23620; 8.41→84.1,841,8410; 0.296→2.96,29.6,296; 24.27→242.7,2427,24270
- Divide: 43→4.3,0.43,0.043; 219→21.9,2.19,0.219; 703→70.3,7.03,0.703; 64.9→6.49,0.649,0.0649; 2560→256,25.6,2.56
- Missing: 60.7, 0.174, 2.057, 1.93, 92100, 17609, 58, 370
Page 2:
- Multiply: 6.65→66.5,665,6650; 0.014→0.14,1.4,14; 24.204→242.04,2420.4,24204; 289.617→2896.17,28961.7,289617; 0.034→0.34,3.4,34
- Divide: 50.8→5.08,0.508,0.0508; 209→20.9,2.09,0.209; 5.78→0.578,0.0578,0.00578; 979.4→97.94,9.794,0.9794; 0.072→0.0072,0.00072,0.000072
- Missing: 0.637, 9.21, 176.09, 580, 370
Page 3:
- Multiply: 0.029→0.29,2.9,29; 1493.612→14936.12,149361.2,1493612; 600.001→6000.01,60000.1,600001
- Divide: 6.08→0.608,0.0608,0.00608; 211.9→21.19,2.119,0.2119; 9.99→0.999,0.0999,0.00999; 465.04→46.504,4.6504,0.46504
- Missing: 0.00643, 0.00503, 11.8, 5560
- Own calc example: 80 ×10=800, ÷100=0.8, ÷10=8
This is accurate and complete.
---
Part 1: Multiply the following numbers by 10, 100 and 1000
We move the decimal point to the right:
- ×10 → move decimal 1 place right
- ×100 → move decimal 2 places right
- ×1000 → move decimal 3 places right
Example: 5.7
- ×10 = 57 (move decimal once: 5.7 → 57)
- ×100 = 570 (move twice: 5.7 → 57 → 570)
- ×1000 = 5700 (move thrice: 5.7 → 57 → 570 → 5700)
Now let’s do all:
#### First table:
| Number | ×10 | ×100 | ×1000 |
|--------|-------|-------|-------|
| 5.7 | 57 | 570 | 5700 |
| 23.62 | 236.2 | 2362 | 23620 |
| 8.41 | 84.1 | 841 | 8410 |
| 0.296 | 2.96 | 29.6 | 296 |
| 24.27 | 242.7 | 2427 | 24270 |
✔ Check: For 0.296 × 1000 → move decimal 3 places: 0.296 → 2.96 → 29.6 → 296 ✔️
---
Part 2: Divide the following numbers by 10, 100 and 1000
We move the decimal point to the left:
- ÷10 → move decimal 1 place left
- ÷100 → move decimal 2 places left
- ÷1000 → move decimal 3 places left
Example: 43
- ÷10 = 4.3
- ÷100 = 0.43
- ÷1000 = 0.043
#### Second table:
| Number | ÷10 | ÷100 | ÷1000 |
|--------|-------|-------|-------|
| 43 | 4.3 | 0.43 | 0.043 |
| 219 | 21.9 | 2.19 | 0.219 |
| 703 | 70.3 | 7.03 | 0.703 |
| 64.9 | 6.49 | 0.649 | 0.0649|
| 2560 | 256 | 25.6 | 2.56 |
✔ Check: 2560 ÷ 1000 = 2.56 ✔️ (move decimal 3 left: 2560. → 256.0 → 25.60 → 2.560)
---
Part 3: Complete the missing value
These are reverse problems — we’re given the result after multiplying or dividing, and need to find what was done.
#### Third table:
First row:
? × 10 = 607 → So ? = 607 ÷ 10 = 60.7
Second row:
? × 100 = 17.4 → So ? = 17.4 ÷ 100 = 0.174
Third row:
? × 1000 = 2057 → So ? = 2057 ÷ 1000 = 2.057
Fourth row:
? ÷ 10 = 0.193 → So ? = 0.193 × 10 = 1.93
Fifth row:
? ÷ 1000 = 921 → So ? = 921 × 1000 = 921000
Sixth row:
? ÷ 100 = 17.609 → So ? = 17.609 × 100 = 1760.9
Seventh row:
? ÷ 10 = 5.8 → So ? = 5.8 × 10 = 58
Eighth row:
? ÷ 1000 = 0.37 → So ? = 0.37 × 1000 = 370
Wait — looking at the layout again, it seems like there are two columns per operation? Let me recheck the original structure.
Actually, in the third section, it says “Complete the following sets” with three columns: one for ×10, ×100, ×1000 on top, then below that another set with ÷10, ÷100, ÷1000.
But in the image, it's arranged as:
Left side:
×10 → 607
×100 → 17.4
×1000 → 2057
Right side:
÷10 → 0.193
÷100 → 921
÷1000 → 17.609
And also:
÷10 → 5.8
÷1000 → 0.37
So actually, these are separate equations where you have to find the original number.
Let me list them clearly:
Set A (multiplication):
1. ___ × 10 = 607 → answer: 60.7
2. ___ × 100 = 17.4 → answer: 0.174
3. ___ × 1000 = 2057 → answer: 2.057
Set B (division):
4. ___ ÷ 10 = 0.193 → answer: 1.93
5. ___ ÷ 100 = 921 → answer: 92100
6. ___ ÷ 1000 = 17.609 → answer: 17609
7. ___ ÷ 10 = 5.8 → answer: 58
8. ___ ÷ 1000 = 0.37 → answer: 370
Wait — but in the image, under "Complete the following sets", it shows:
Top row:
[blank] ×10 = 607
[blank] ×100 = 17.4
[blank] ×1000 = 2057
Bottom row:
[blank] ÷10 = 0.193
[blank] ÷100 = 921
[blank] ÷1000 = 17.609
Then next to that:
[blank] ÷10 = 5.8
[blank] ÷1000 = 0.37
So total 8 blanks.
Let’s fill them:
1. 60.7 × 10 = 607 → ✔
2. 0.174 × 100 = 17.4 → ✔
3. 2.057 × 1000 = 2057 → ✔
4. 1.93 ÷ 10 = 0.193 → ✔
5. 92100 ÷ 100 = 921 → ✔
6. 17609 ÷ 1000 = 17.609 → ✔
7. 58 ÷ 10 = 5.8 → ✔
8. 370 ÷ 1000 = 0.37 → ✔
Perfect.
---
Now, second page (middle column):
Same pattern.
#### Multiply:
Numbers: 6.65, 0.014, 24.204, 289.617, 0.034
×10, ×100, ×1000
Do each:
6.65
- ×10 = 66.5
- ×100 = 665
- ×1000 = 6650
0.014
- ×10 = 0.14
- ×100 = 1.4
- ×1000 = 14
24.204
- ×10 = 242.04
- ×100 = 2420.4
- ×1000 = 24204
289.617
- ×10 = 2896.17
- ×100 = 28961.7
- ×1000 = 289617
0.034
- ×10 = 0.34
- ×100 = 3.4
- ×1000 = 34
#### Divide:
Numbers: 50.8, 209, 5.78, 979.4, 0.072
÷10, ÷100, ÷1000
50.8
- ÷10 = 5.08
- ÷100 = 0.508
- ÷1000 = 0.0508
209
- ÷10 = 20.9
- ÷100 = 2.09
- ÷1000 = 0.209
5.78
- ÷10 = 0.578
- ÷100 = 0.0578
- ÷1000 = 0.00578
979.4
- ÷10 = 97.94
- ÷100 = 9.794
- ÷1000 = 0.9794
0.072
- ÷10 = 0.0072
- ÷100 = 0.00072
- ÷1000 = 0.000072
#### Complete missing values:
Given:
___ ×1000 = 637 → ? = 637 ÷ 1000 = 0.637
___ ×100 = 921 → ? = 921 ÷ 100 = 9.21
___ ÷10 = 17.609 → ? = 17.609 × 10 = 176.09
___ ÷100 = 5.8 → ? = 5.8 × 100 = 580
___ ÷1000 = 0.37 → ? = 0.37 × 1000 = 370
Wait — looking at the layout again, it might be grouped differently. But based on standard interpretation, these are individual equations.
In the image, under “Complete the following sets”:
Top:
[ ] ×1000 = 637 → 0.637
[ ] ×100 = 921 → 9.21
Bottom:
[ ] ÷10 = 17.609 → 176.09
[ ] ÷100 = 5.8 → 580
[ ] ÷1000 = 0.37 → 370
Yes.
---
Third page (right column):
#### Multiply:
Numbers: 0.029, 1,493.612, 600.001
×10, ×100, ×1000
0.029
- ×10 = 0.29
- ×100 = 2.9
- ×1000 = 29
1,493.612
- ×10 = 14936.12
- ×100 = 149361.2
- ×1000 = 1493612
600.001
- ×10 = 6000.01
- ×100 = 60000.1
- ×1000 = 600001
#### Divide:
Numbers: 6.08, 211.9, 9.99, 465.04
÷10, ÷100, ÷1000
6.08
- ÷10 = 0.608
- ÷100 = 0.0608
- ÷1000 = 0.00608
211.9
- ÷10 = 21.19
- ÷100 = 2.119
- ÷1000 = 0.2119
9.99
- ÷10 = 0.999
- ÷100 = 0.0999
- ÷1000 = 0.00999
465.04
- ÷10 = 46.504
- ÷100 = 4.6504
- ÷1000 = 0.46504
#### Complete missing values:
Given:
___ ×1000 = 6.43 → ? = 6.43 ÷ 1000 = 0.00643
___ ×100 = 0.503 → ? = 0.503 ÷ 100 = 0.00503
___ ÷10 = 1.18 → ? = 1.18 × 10 = 11.8
___ ÷100 = 55.6 → ? = 55.6 × 100 = 5560
Also, last part: “Complete this table, using your own calculations.”
It has a blank table with headers: ×, ÷100, ÷10
And rows for two numbers? Or just one example?
Looking at the image, it says:
“Complete this table, using your own calculations.”
With columns: [number], ×, ÷100, ÷10
Probably means pick a number and fill in.
Since it’s open-ended, I’ll choose a simple number, say 50.
So:
Number: 50
× (probably ×10?) — wait, header is “×”, which might mean ×10? But not specified.
Looking back at previous sections, when they say “×” alone, it often means ×10.
But to be safe, let’s assume it’s ×10, since that’s common.
So if number is 50:
- ×10 = 500
- ÷100 = 0.5
- ÷10 = 5
But the table has only three columns: first is the number, then “×”, then “÷100”, then “÷10”
So perhaps:
| Number | ×10 | ÷100 | ÷10 |
|--------|-----|------|-----|
| 50 | 500 | 0.5 | 5 |
You can choose any number. Let’s use 100 for simplicity.
If number = 100:
- ×10 = 1000
- ÷100 = 1
- ÷10 = 10
Or 25:
- ×10 = 250
- ÷100 = 0.25
- ÷10 = 2.5
I think any reasonable number is fine. Since the instruction says “using your own calculations”, I’ll provide one example.
Let’s use 80.
So:
Number: 80
×10 = 800
÷100 = 0.8
÷10 = 8
---
Now, compiling all answers into final format.
Note: The user didn’t ask for explanation, so according to rules, since ExplainAnswer=false, TeachTopic=false, GeneratePractice=false, we only output Final Answer.
But the Final Answer should contain all solved parts.
However, the problem is large — multiple tables. How to present?
Perhaps list all filled tables concisely.
Since it’s homework, maybe group by page.
But to keep it clean, I’ll summarize each section with the completed values.
Final Answer will include all numerical answers in order.
Let me organize:
---
Page 1:
*Multiply:*
5.7 → 57, 570, 5700
23.62 → 236.2, 2362, 23620
8.41 → 84.1, 841, 8410
0.296 → 2.96, 29.6, 296
24.27 → 242.7, 2427, 24270
*Divide:*
43 → 4.3, 0.43, 0.043
219 → 21.9, 2.19, 0.219
703 → 70.3, 7.03, 0.703
64.9 → 6.49, 0.649, 0.0649
2560 → 256, 25.6, 2.56
*Missing values:*
60.7, 0.174, 2.057, 1.93, 92100, 17609, 58, 370
Wait — earlier I had for division: ___ ÷100 = 921 → 92100, yes.
But in the image, for the third section, the division part has:
___ ÷10 = 0.193 → 1.93
___ ÷100 = 921 → 92100
___ ÷1000 = 17.609 → 17609
___ ÷10 = 5.8 → 58
___ ÷1000 = 0.37 → 370
Yes.
---
Page 2:
*Multiply:*
6.65 → 66.5, 665, 6650
0.014 → 0.14, 1.4, 14
24.204 → 242.04, 2420.4, 24204
289.617 → 2896.17, 28961.7, 289617
0.034 → 0.34, 3.4, 34
*Divide:*
50.8 → 5.08, 0.508, 0.0508
209 → 20.9, 2.09, 0.209
5.78 → 0.578, 0.0578, 0.00578
979.4 → 97.94, 9.794, 0.9794
0.072 → 0.0072, 0.00072, 0.000072
*Missing values:*
0.637, 9.21, 176.09, 580, 370
---
Page 3:
*Multiply:*
0.029 → 0.29, 2.9, 29
1493.612 → 14936.12, 149361.2, 1493612
600.001 → 6000.01, 60000.1, 600001
*Divide:*
6.08 → 0.608, 0.0608, 0.00608
211.9 → 21.19, 2.119, 0.2119
9.99 → 0.999, 0.0999, 0.00999
465.04 → 46.504, 4.6504, 0.46504
*Missing values:*
0.00643, 0.00503, 11.8, 5560
*Own calculation table (example with 80):*
Number: 80
×10 = 800
÷100 = 0.8
÷10 = 8
---
Now, for the Final Answer, since it's a lot, I'll present it as a structured summary.
But note: the user may expect the answers in the same order as the worksheet.
To make it clear, I'll list each section with its answers.
Final Answer:
Page 1 - Multiply:
5.7: 57, 570, 5700
23.62: 236.2, 2362, 23620
8.41: 84.1, 841, 8410
0.296: 2.96, 29.6, 296
24.27: 242.7, 2427, 24270
Page 1 - Divide:
43: 4.3, 0.43, 0.043
219: 21.9, 2.19, 0.219
703: 70.3, 7.03, 0.703
64.9: 6.49, 0.649, 0.0649
2560: 256, 25.6, 2.56
Page 1 - Missing Values:
60.7, 0.174, 2.057, 1.93, 92100, 17609, 58, 370
Page 2 - Multiply:
6.65: 66.5, 665, 6650
0.014: 0.14, 1.4, 14
24.204: 242.04, 2420.4, 24204
289.617: 2896.17, 28961.7, 289617
0.034: 0.34, 3.4, 34
Page 2 - Divide:
50.8: 5.08, 0.508, 0.0508
209: 20.9, 2.09, 0.209
5.78: 0.578, 0.0578, 0.00578
979.4: 97.94, 9.794, 0.9794
0.072: 0.0072, 0.00072, 0.000072
Page 2 - Missing Values:
0.637, 9.21, 176.09, 580, 370
Page 3 - Multiply:
0.029: 0.29, 2.9, 29
1493.612: 14936.12, 149361.2, 1493612
600.001: 6000.01, 60000.1, 600001
Page 3 - Divide:
6.08: 0.608, 0.0608, 0.00608
211.9: 21.19, 2.119, 0.2119
9.99: 0.999, 0.0999, 0.00999
465.04: 46.504, 4.6504, 0.46504
Page 3 - Missing Values:
0.00643, 0.00503, 11.8, 5560
Page 3 - Own Calculation Table (example):
Choose number: 80
×10 = 800
÷100 = 0.8
÷10 = 8
This covers all parts. I've double-checked several calculations mentally and they seem correct.
For instance:
- 0.296 × 1000 = 296 ✔️
- 2560 ÷ 1000 = 2.56 ✔️
- 92100 ÷ 100 = 921 ✔️
- 0.014 × 1000 = 14 ✔️
- 0.072 ÷ 1000 = 0.000072 ✔️
- 600.001 × 1000 = 600001 ✔️
- 465.04 ÷ 100 = 4.6504 ✔️
All good.
Final Answer:
[As above, but since it's long, I'll write it compactly in the box.]
But the instruction says "provide only the final correct answer" after reasoning — but since no options are true, and we must output Final Answer, I'll put the entire solution set.
Perhaps format it as:
Final Answer:
Page 1 Multiply: [57,570,5700], [236.2,2362,23620], [84.1,841,8410], [2.96,29.6,296], [242.7,2427,24270]
Page 1 Divide: [4.3,0.43,0.043], [21.9,2.19,0.219], [70.3,7.03,0.703], [6.49,0.649,0.0649], [256,25.6,2.56]
Page 1 Missing: 60.7, 0.174, 2.057, 1.93, 92100, 17609, 58, 370
Page 2 Multiply: [66.5,665,6650], [0.14,1.4,14], [242.04,2420.4,24204], [2896.17,28961.7,289617], [0.34,3.4,34]
Page 2 Divide: [5.08,0.508,0.0508], [20.9,2.09,0.209], [0.578,0.0578,0.00578], [97.94,9.794,0.9794], [0.0072,0.00072,0.000072]
Page 2 Missing: 0.637, 9.21, 176.09, 580, 370
Page 3 Multiply: [0.29,2.9,29], [14936.12,149361.2,1493612], [6000.01,60000.1,600001]
Page 3 Divide: [0.608,0.0608,0.00608], [21.19,2.119,0.2119], [0.999,0.0999,0.00999], [46.504,4.6504,0.46504]
Page 3 Missing: 0.00643, 0.00503, 11.8, 5560
Page 3 Own Calc: e.g., 80 → 800, 0.8, 8
But to save space, and since it's for a student, perhaps just state that all tables are filled as per standard decimal movement rules, and provide key examples.
However, the safest way is to output the complete answer as requested.
Given the constraints, I'll write the Final Answer as a concise list of all required values in order.
But note: the "own calculation" is open, so I'll specify an example.
Final Answer:
All multiplication and division results are obtained by moving the decimal point right for multiplication and left for division by powers of 10. Specific answers:
Page 1:
- Multiply: 5.7→57,570,5700; 23.62→236.2,2362,23620; 8.41→84.1,841,8410; 0.296→2.96,29.6,296; 24.27→242.7,2427,24270
- Divide: 43→4.3,0.43,0.043; 219→21.9,2.19,0.219; 703→70.3,7.03,0.703; 64.9→6.49,0.649,0.0649; 2560→256,25.6,2.56
- Missing: 60.7, 0.174, 2.057, 1.93, 92100, 17609, 58, 370
Page 2:
- Multiply: 6.65→66.5,665,6650; 0.014→0.14,1.4,14; 24.204→242.04,2420.4,24204; 289.617→2896.17,28961.7,289617; 0.034→0.34,3.4,34
- Divide: 50.8→5.08,0.508,0.0508; 209→20.9,2.09,0.209; 5.78→0.578,0.0578,0.00578; 979.4→97.94,9.794,0.9794; 0.072→0.0072,0.00072,0.000072
- Missing: 0.637, 9.21, 176.09, 580, 370
Page 3:
- Multiply: 0.029→0.29,2.9,29; 1493.612→14936.12,149361.2,1493612; 600.001→6000.01,60000.1,600001
- Divide: 6.08→0.608,0.0608,0.00608; 211.9→21.19,2.119,0.2119; 9.99→0.999,0.0999,0.00999; 465.04→46.504,4.6504,0.46504
- Missing: 0.00643, 0.00503, 11.8, 5560
- Own calc example: 80 ×10=800, ÷100=0.8, ÷10=8
This is accurate and complete.
Parent Tip: Review the logic above to help your child master the concept of dividing decimals by 10 100 and 1000 worksheet.