Decimal Place Value Worksheets 4th Grade - Free Printable
Educational worksheet: Decimal Place Value Worksheets 4th Grade. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Place Value Worksheets 4th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Place Value Worksheets 4th Grade
Let’s go through each problem one by one. I’ll solve them carefully and check my work as I go.
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1) 3 + 0.4 =
3 is a whole number. 0.4 is four tenths. So, 3 + 0.4 = 3.4
✔ Check: 3.0 + 0.4 = 3.4 → Correct.
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2) What is the value of the digit 4 in the number 825.4?
The 4 is after the decimal point — that’s the tenths place.
So its value is 4 tenths, or 0.4
✔ Check: In 825.4, digits are: hundreds (8), tens (2), ones (5), tenths (4). Yes.
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3) 7 + 0.3 =
7 wholes + 3 tenths = 7.3
✔ Check: 7.0 + 0.3 = 7.3 → Correct.
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4) 0.6 = _______ tenths
0.6 means 6 parts out of 10 → so it’s 6 tenths
✔ Check: 6 ÷ 10 = 0.6 → Correct.
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5) 3.4 + 2.3 =
Add the whole numbers: 3 + 2 = 5
Add the decimals: 0.4 + 0.3 = 0.7
Total: 5.7
✔ Check: 3.4 + 2.3 = 5.7 → Correct.
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6) 0.4 + ___ = 1
We need to find what adds to 0.4 to make 1.
1 - 0.4 = 0.6 → So answer is 0.6
✔ Check: 0.4 + 0.6 = 1.0 → Correct.
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7) 8.4 = 8 + ___
8.4 minus 8 = 0.4 → So blank is 0.4
✔ Check: 8 + 0.4 = 8.4 → Correct.
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8) 12 + 0.4 =
12 wholes + 4 tenths = 12.4
✔ Check: 12.0 + 0.4 = 12.4 → Correct.
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9) 7.3 = ___ + 0.3
Subtract 0.3 from 7.3 → 7.3 - 0.3 = 7 → So blank is 7
✔ Check: 7 + 0.3 = 7.3 → Correct.
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10) 1 ÷ 10 = _______ (decimal) or _______ (fraction)
Dividing by 10 moves decimal one place left → 1 ÷ 10 = 0.1
As a fraction: 1/10
✔ Check: 1/10 = 0.1 → Correct.
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11) Use >, <, or = : 8.4 ___ 8.2
Compare tenths: 4 > 2 → So 8.4 > 8.2
✔ Check: 8.4 is bigger than 8.2 → Correct.
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12) How many tenths make a whole?
One whole = 10 tenths → Answer: 10
✔ Check: 10 × 0.1 = 1.0 → Correct.
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13) Which is bigger: 14 tenths or 2 ones?
14 tenths = 14 ÷ 10 = 1.4
2 ones = 2.0
2.0 > 1.4 → So 2 ones is bigger.
✔ Check: 1.4 vs 2.0 → 2.0 is larger → Correct.
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14) 1.3 = _______ tenths
1.3 = 13 tenths (because 1 = 10 tenths, plus 3 more = 13)
✔ Check: 13 ÷ 10 = 1.3 → Correct.
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15) What is the value of the digit 6 in the number 793.6?
It’s in the tenths place → Value is 6 tenths or 0.6
✔ Check: Position after decimal → tenths → Correct.
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16) 3 + ___ = 3.7
3.7 - 3 = 0.7 → Blank is 0.7
✔ Check: 3 + 0.7 = 3.7 → Correct.
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17) Use >, <, or = : 4.6 ___ 5.3
Whole numbers: 4 < 5 → So 4.6 < 5.3
✔ Check: 4.6 is less than 5.3 → Correct.
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18) 1 – 0.1 =
1.0 - 0.1 = 0.9
✔ Check: 1.0 - 0.1 = 0.9 → Correct.
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19) How many tenths make 2 ones?
1 one = 10 tenths → 2 ones = 2 × 10 = 20 tenths
✔ Check: 20 ÷ 10 = 2 → Correct.
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20) 16 tenths =
16 ÷ 10 = 1.6
✔ Check: 16 × 0.1 = 1.6 → Correct.
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Final Answer:
1) 3.4
2) 0.4 (or 4 tenths)
3) 7.3
4) 6
5) 5.7
6) 0.6
7) 0.4
8) 12.4
9) 7
10) 0.1 (decimal), 1/10 (fraction)
11) >
12) 10
13) 2 ones
14) 13
15) 0.6 (or 6 tenths)
16) 0.7
17) <
18) 0.9
19) 20
20) 1.6
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1) 3 + 0.4 =
3 is a whole number. 0.4 is four tenths. So, 3 + 0.4 = 3.4
✔ Check: 3.0 + 0.4 = 3.4 → Correct.
---
2) What is the value of the digit 4 in the number 825.4?
The 4 is after the decimal point — that’s the tenths place.
So its value is 4 tenths, or 0.4
✔ Check: In 825.4, digits are: hundreds (8), tens (2), ones (5), tenths (4). Yes.
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3) 7 + 0.3 =
7 wholes + 3 tenths = 7.3
✔ Check: 7.0 + 0.3 = 7.3 → Correct.
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4) 0.6 = _______ tenths
0.6 means 6 parts out of 10 → so it’s 6 tenths
✔ Check: 6 ÷ 10 = 0.6 → Correct.
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5) 3.4 + 2.3 =
Add the whole numbers: 3 + 2 = 5
Add the decimals: 0.4 + 0.3 = 0.7
Total: 5.7
✔ Check: 3.4 + 2.3 = 5.7 → Correct.
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6) 0.4 + ___ = 1
We need to find what adds to 0.4 to make 1.
1 - 0.4 = 0.6 → So answer is 0.6
✔ Check: 0.4 + 0.6 = 1.0 → Correct.
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7) 8.4 = 8 + ___
8.4 minus 8 = 0.4 → So blank is 0.4
✔ Check: 8 + 0.4 = 8.4 → Correct.
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8) 12 + 0.4 =
12 wholes + 4 tenths = 12.4
✔ Check: 12.0 + 0.4 = 12.4 → Correct.
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9) 7.3 = ___ + 0.3
Subtract 0.3 from 7.3 → 7.3 - 0.3 = 7 → So blank is 7
✔ Check: 7 + 0.3 = 7.3 → Correct.
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10) 1 ÷ 10 = _______ (decimal) or _______ (fraction)
Dividing by 10 moves decimal one place left → 1 ÷ 10 = 0.1
As a fraction: 1/10
✔ Check: 1/10 = 0.1 → Correct.
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11) Use >, <, or = : 8.4 ___ 8.2
Compare tenths: 4 > 2 → So 8.4 > 8.2
✔ Check: 8.4 is bigger than 8.2 → Correct.
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12) How many tenths make a whole?
One whole = 10 tenths → Answer: 10
✔ Check: 10 × 0.1 = 1.0 → Correct.
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13) Which is bigger: 14 tenths or 2 ones?
14 tenths = 14 ÷ 10 = 1.4
2 ones = 2.0
2.0 > 1.4 → So 2 ones is bigger.
✔ Check: 1.4 vs 2.0 → 2.0 is larger → Correct.
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14) 1.3 = _______ tenths
1.3 = 13 tenths (because 1 = 10 tenths, plus 3 more = 13)
✔ Check: 13 ÷ 10 = 1.3 → Correct.
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15) What is the value of the digit 6 in the number 793.6?
It’s in the tenths place → Value is 6 tenths or 0.6
✔ Check: Position after decimal → tenths → Correct.
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16) 3 + ___ = 3.7
3.7 - 3 = 0.7 → Blank is 0.7
✔ Check: 3 + 0.7 = 3.7 → Correct.
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17) Use >, <, or = : 4.6 ___ 5.3
Whole numbers: 4 < 5 → So 4.6 < 5.3
✔ Check: 4.6 is less than 5.3 → Correct.
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18) 1 – 0.1 =
1.0 - 0.1 = 0.9
✔ Check: 1.0 - 0.1 = 0.9 → Correct.
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19) How many tenths make 2 ones?
1 one = 10 tenths → 2 ones = 2 × 10 = 20 tenths
✔ Check: 20 ÷ 10 = 2 → Correct.
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20) 16 tenths =
16 ÷ 10 = 1.6
✔ Check: 16 × 0.1 = 1.6 → Correct.
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Final Answer:
1) 3.4
2) 0.4 (or 4 tenths)
3) 7.3
4) 6
5) 5.7
6) 0.6
7) 0.4
8) 12.4
9) 7
10) 0.1 (decimal), 1/10 (fraction)
11) >
12) 10
13) 2 ones
14) 13
15) 0.6 (or 6 tenths)
16) 0.7
17) <
18) 0.9
19) 20
20) 1.6
Parent Tip: Review the logic above to help your child master the concept of decimal worksheet grade 4.
