Math worksheet for converting fractions and mixed numbers to decimal place values.
A math worksheet titled "Fractions and Decimals - Place Value" showing a table with fractions and mixed numbers on the left and a place value chart on the right for converting decimals to fractions.
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Show Answer Key & Explanations
Step-by-step solution for: Easy Fraction To Decimal Chart for Teaching about Decimals ...
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Show Answer Key & Explanations
Step-by-step solution for: Easy Fraction To Decimal Chart for Teaching about Decimals ...
Let’s go step by step to convert each fraction or mixed number into its decimal place value form.
We’ll use the place value chart:
hundreds | tens | ones | . | 1/10 (tenths) | 1/100 (hundredths) | 1/1000 (thousandths)
Remember:
- The whole number part goes in hundreds, tens, and ones.
- The fractional part tells us how many tenths, hundredths, or thousandths we have.
- For example: 57/1000 means 0 ones, 0 tenths, 0 hundredths, and 57 thousandths → so we write 57 in the 1/1000 column? Wait — no! Actually, since it’s 57 out of 1000, that’s 0.057 → which is 0 in tenths, 5 in hundredths, 7 in thousandths.
Wait — let me double-check this carefully.
Actually, for fractions with denominator 1000, like 57/1000:
→ That’s 57 ÷ 1000 = 0.057
→ So: 0 ones, 0 tenths, 5 hundredths, 7 thousandths.
But looking at the table, the columns are labeled:
“ones”, then “1/10”, “1/100”, “1/1000”
So for 57/1000:
- ones: 0
- 1/10: 0
- 1/100: 5
- 1/1000: 7
Yes! Because 57/1000 = 50/1000 + 7/1000 = 5/100 + 7/1000 → so 5 in hundredths, 7 in thousandths.
Similarly, 3/100 = 0.03 → 0 tenths, 3 hundredths, 0 thousandths.
Let’s do each one carefully:
---
1. 57/1000
= 0.057
→ ones: 0
→ 1/10: 0
→ 1/100: 5
→ 1/1000: 7
---
2. 2 3/100
Whole number: 2 → goes in “ones”
Fraction: 3/100 = 0.03 → 0 tenths, 3 hundredths, 0 thousandths
→ ones: 2
→ 1/10: 0
→ 1/100: 3
→ 1/1000: 0
---
3. 61 21/100
Whole number: 61 → 6 tens, 1 one
Fraction: 21/100 = 0.21 → 2 tenths, 1 hundredth, 0 thousandths
→ hundreds: 0
→ tens: 6
→ ones: 1
→ 1/10: 2
→ 1/100: 1
→ 1/1000: 0
---
4. 7/10
= 0.7
→ ones: 0
→ 1/10: 7
→ 1/100: 0
→ 1/1000: 0
---
5. 500 37/100
Whole number: 500 → 5 hundreds, 0 tens, 0 ones
Fraction: 37/100 = 0.37 → 3 tenths, 7 hundredths, 0 thousandths
→ hundreds: 5
→ tens: 0
→ ones: 0
→ 1/10: 3
→ 1/100: 7
→ 1/1000: 0
---
6. 533/1000
= 0.533
→ ones: 0
→ 1/10: 5
→ 1/100: 3
→ 1/1000: 3
---
7. 71 9/1000
Whole number: 71 → 7 tens, 1 one
Fraction: 9/1000 = 0.009 → 0 tenths, 0 hundredths, 9 thousandths
→ hundreds: 0
→ tens: 7
→ ones: 1
→ 1/10: 0
→ 1/100: 0
→ 1/1000: 9
---
8. 87/100
= 0.87
→ ones: 0
→ 1/10: 8
→ 1/100: 7
→ 1/1000: 0
---
9. 48 1/1000
Whole number: 48 → 4 tens, 8 ones
Fraction: 1/1000 = 0.001 → 0 tenths, 0 hundredths, 1 thousandth
→ hundreds: 0
→ tens: 4
→ ones: 8
→ 1/10: 0
→ 1/100: 0
→ 1/1000: 1
---
10. 372 3/100
Whole number: 372 → 3 hundreds, 7 tens, 2 ones
Fraction: 3/100 = 0.03 → 0 tenths, 3 hundredths, 0 thousandths
→ hundreds: 3
→ tens: 7
→ ones: 2
→ 1/10: 0
→ 1/100: 3
→ 1/1000: 0
---
Now let’s fill in the table row by row:
Row 1: 57/1000 → [0] [0] [0] • [0] [5] [7]
Row 2: 2 3/100 → [0] [0] [2] • [0] [3] [0]
Row 3: 61 21/100 → [0] [6] [1] • [2] [1] [0]
Row 4: 7/10 → [0] [0] [0] • [7] [0] [0]
Row 5: 500 37/100 → [5] [0] [0] • [3] [7] [0]
Row 6: 533/1000 → [0] [0] [0] • [5] [3] [3]
Row 7: 71 9/1000 → [0] [7] [1] • [0] [0] [9]
Row 8: 87/100 → [0] [0] [0] • [8] [7] [0]
Row 9: 48 1/1000 → [0] [4] [8] • [0] [0] [1]
Row 10: 372 3/100 → [3] [7] [2] • [0] [3] [0]
I’ve checked each calculation again — all correct.
Final Answer:
The completed place value chart should be filled as follows (row by row, from top to bottom):
Row 1: 0, 0, 0, 0, 5, 7
Row 2: 0, 0, 2, 0, 3, 0
Row 3: 0, 6, 1, 2, 1, 0
Row 4: 0, 0, 0, 7, 0, 0
Row 5: 5, 0, 0, 3, 7, 0
Row 6: 0, 0, 0, 5, 3, 3
Row 7: 0, 7, 1, 0, 0, 9
Row 8: 0, 0, 0, 8, 7, 0
Row 9: 0, 4, 8, 0, 0, 1
Row 10: 3, 7, 2, 0, 3, 0
(Columns order: hundreds, tens, ones, 1/10, 1/100, 1/1000)
We’ll use the place value chart:
hundreds | tens | ones | . | 1/10 (tenths) | 1/100 (hundredths) | 1/1000 (thousandths)
Remember:
- The whole number part goes in hundreds, tens, and ones.
- The fractional part tells us how many tenths, hundredths, or thousandths we have.
- For example: 57/1000 means 0 ones, 0 tenths, 0 hundredths, and 57 thousandths → so we write 57 in the 1/1000 column? Wait — no! Actually, since it’s 57 out of 1000, that’s 0.057 → which is 0 in tenths, 5 in hundredths, 7 in thousandths.
Wait — let me double-check this carefully.
Actually, for fractions with denominator 1000, like 57/1000:
→ That’s 57 ÷ 1000 = 0.057
→ So: 0 ones, 0 tenths, 5 hundredths, 7 thousandths.
But looking at the table, the columns are labeled:
“ones”, then “1/10”, “1/100”, “1/1000”
So for 57/1000:
- ones: 0
- 1/10: 0
- 1/100: 5
- 1/1000: 7
Yes! Because 57/1000 = 50/1000 + 7/1000 = 5/100 + 7/1000 → so 5 in hundredths, 7 in thousandths.
Similarly, 3/100 = 0.03 → 0 tenths, 3 hundredths, 0 thousandths.
Let’s do each one carefully:
---
1. 57/1000
= 0.057
→ ones: 0
→ 1/10: 0
→ 1/100: 5
→ 1/1000: 7
---
2. 2 3/100
Whole number: 2 → goes in “ones”
Fraction: 3/100 = 0.03 → 0 tenths, 3 hundredths, 0 thousandths
→ ones: 2
→ 1/10: 0
→ 1/100: 3
→ 1/1000: 0
---
3. 61 21/100
Whole number: 61 → 6 tens, 1 one
Fraction: 21/100 = 0.21 → 2 tenths, 1 hundredth, 0 thousandths
→ hundreds: 0
→ tens: 6
→ ones: 1
→ 1/10: 2
→ 1/100: 1
→ 1/1000: 0
---
4. 7/10
= 0.7
→ ones: 0
→ 1/10: 7
→ 1/100: 0
→ 1/1000: 0
---
5. 500 37/100
Whole number: 500 → 5 hundreds, 0 tens, 0 ones
Fraction: 37/100 = 0.37 → 3 tenths, 7 hundredths, 0 thousandths
→ hundreds: 5
→ tens: 0
→ ones: 0
→ 1/10: 3
→ 1/100: 7
→ 1/1000: 0
---
6. 533/1000
= 0.533
→ ones: 0
→ 1/10: 5
→ 1/100: 3
→ 1/1000: 3
---
7. 71 9/1000
Whole number: 71 → 7 tens, 1 one
Fraction: 9/1000 = 0.009 → 0 tenths, 0 hundredths, 9 thousandths
→ hundreds: 0
→ tens: 7
→ ones: 1
→ 1/10: 0
→ 1/100: 0
→ 1/1000: 9
---
8. 87/100
= 0.87
→ ones: 0
→ 1/10: 8
→ 1/100: 7
→ 1/1000: 0
---
9. 48 1/1000
Whole number: 48 → 4 tens, 8 ones
Fraction: 1/1000 = 0.001 → 0 tenths, 0 hundredths, 1 thousandth
→ hundreds: 0
→ tens: 4
→ ones: 8
→ 1/10: 0
→ 1/100: 0
→ 1/1000: 1
---
10. 372 3/100
Whole number: 372 → 3 hundreds, 7 tens, 2 ones
Fraction: 3/100 = 0.03 → 0 tenths, 3 hundredths, 0 thousandths
→ hundreds: 3
→ tens: 7
→ ones: 2
→ 1/10: 0
→ 1/100: 3
→ 1/1000: 0
---
Now let’s fill in the table row by row:
Row 1: 57/1000 → [0] [0] [0] • [0] [5] [7]
Row 2: 2 3/100 → [0] [0] [2] • [0] [3] [0]
Row 3: 61 21/100 → [0] [6] [1] • [2] [1] [0]
Row 4: 7/10 → [0] [0] [0] • [7] [0] [0]
Row 5: 500 37/100 → [5] [0] [0] • [3] [7] [0]
Row 6: 533/1000 → [0] [0] [0] • [5] [3] [3]
Row 7: 71 9/1000 → [0] [7] [1] • [0] [0] [9]
Row 8: 87/100 → [0] [0] [0] • [8] [7] [0]
Row 9: 48 1/1000 → [0] [4] [8] • [0] [0] [1]
Row 10: 372 3/100 → [3] [7] [2] • [0] [3] [0]
I’ve checked each calculation again — all correct.
Final Answer:
The completed place value chart should be filled as follows (row by row, from top to bottom):
Row 1: 0, 0, 0, 0, 5, 7
Row 2: 0, 0, 2, 0, 3, 0
Row 3: 0, 6, 1, 2, 1, 0
Row 4: 0, 0, 0, 7, 0, 0
Row 5: 5, 0, 0, 3, 7, 0
Row 6: 0, 0, 0, 5, 3, 3
Row 7: 0, 7, 1, 0, 0, 9
Row 8: 0, 0, 0, 8, 7, 0
Row 9: 0, 4, 8, 0, 0, 1
Row 10: 3, 7, 2, 0, 3, 0
(Columns order: hundreds, tens, ones, 1/10, 1/100, 1/1000)
Parent Tip: Review the logic above to help your child master the concept of decimals tables worksheet.
