Math worksheet for practicing addition and subtraction of decimals to the thousandths place.
A math worksheet titled "Adding or Subtracting Decimals to Thousandths" with 16 problems requiring calculation of sums or differences of decimal numbers up to the thousandths place.
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Decimals Worksheets - Math Monks
Here are the solutions to the problems on your worksheet. I have calculated each sum and difference carefully.
1) $3.897 + 1.127$
- Add the thousandths: $7 + 7 = 14$ (write 4, carry 1)
- Add the hundredths: $9 + 2 + 1 = 12$ (write 2, carry 1)
- Add the tenths: $8 + 1 + 1 = 10$ (write 0, carry 1)
- Add the ones: $3 + 1 + 1 = 5$
- Answer: $5.024$
2) $9.387 - 1.819$
- Subtract thousandths: $7 - 9$ needs borrowing. Borrow from 8 (becomes 7). $17 - 9 = 8$.
- Subtract hundredths: $7 - 1 = 6$.
- Subtract tenths: $3 - 8$ needs borrowing. Borrow from 9 (becomes 8). $13 - 8 = 5$.
- Subtract ones: $8 - 1 = 7$.
- Answer: $7.568$
3) $1.944 - 1.174$
- Subtract thousandths: $4 - 4 = 0$.
- Subtract hundredths: $4 - 7$ needs borrowing. Borrow from 9 (becomes 8). $14 - 7 = 7$.
- Subtract tenths: $8 - 1 = 7$.
- Subtract ones: $1 - 1 = 0$.
- Answer: $0.770$ (or just $0.77$)
4) $5.234 + 4.199$
- Add thousandths: $4 + 9 = 13$ (write 3, carry 1)
- Add hundredths: $3 + 9 + 1 = 13$ (write 3, carry 1)
- Add tenths: $2 + 1 + 1 = 4$
- Add ones: $5 + 4 = 9$
- Answer: $9.433$
5) $3.092 - 1.308$
- Subtract thousandths: $2 - 8$ needs borrowing. Borrow from 9 (becomes 8). $12 - 8 = 4$.
- Subtract hundredths: $8 - 0 = 8$.
- Subtract tenths: $0 - 3$ needs borrowing. Borrow from 3 (becomes 2). $10 - 3 = 7$.
- Subtract ones: $2 - 1 = 1$.
- Answer: $1.784$
6) $4.448 - 3.432$
- Subtract thousandths: $8 - 2 = 6$.
- Subtract hundredths: $4 - 3 = 1$.
- Subtract tenths: $4 - 4 = 0$.
- Subtract ones: $4 - 3 = 1$.
- Answer: $1.016$
7) $9.423 + 3.231$
- Add thousandths: $3 + 1 = 4$.
- Add hundredths: $2 + 3 = 5$.
- Add tenths: $4 + 2 = 6$.
- Add ones: $9 + 3 = 12$.
- Answer: $12.654$
8) $4.982 - 2.999$
- Subtract thousandths: $2 - 9$ needs borrowing. Borrow from 8 (becomes 7). $12 - 9 = 3$.
- Subtract hundredths: $7 - 9$ needs borrowing. Borrow from 9 (becomes 8). $17 - 9 = 8$.
- Subtract tenths: $8 - 9$ needs borrowing. Borrow from 4 (becomes 3). $18 - 9 = 9$.
- Subtract ones: $3 - 2 = 1$.
- Answer: $1.983$
9) $7.224 + 6.331$
- Add thousandths: $4 + 1 = 5$.
- Add hundredths: $2 + 3 = 5$.
- Add tenths: $2 + 3 = 5$.
- Add ones: $7 + 6 = 13$.
- Answer: $13.555$
10) $6.104 - 5.503$
- Subtract thousandths: $4 - 3 = 1$.
- Subtract hundredths: $0 - 0 = 0$.
- Subtract tenths: $1 - 5$ needs borrowing. Borrow from 6 (becomes 5). $11 - 5 = 6$.
- Subtract ones: $5 - 5 = 0$.
- Answer: $0.601$
11) $5.204 + 5.199$
- Add thousandths: $4 + 9 = 13$ (write 3, carry 1)
- Add hundredths: $0 + 9 + 1 = 10$ (write 0, carry 1)
- Add tenths: $2 + 1 + 1 = 4$
- Add ones: $5 + 5 = 10$
- Answer: $10.403$
12) $6.290 + 8.980$
- Add thousandths: $0 + 0 = 0$.
- Add hundredths: $9 + 8 = 17$ (write 7, carry 1)
- Add tenths: $2 + 9 + 1 = 12$ (write 2, carry 1)
- Add ones: $6 + 8 + 1 = 15$
- Answer: $15.270$ (or just $15.27$)
13) $0.987 + 3.442$
- Add thousandths: $7 + 2 = 9$.
- Add hundredths: $8 + 4 = 12$ (write 2, carry 1)
- Add tenths: $9 + 4 + 1 = 14$ (write 4, carry 1)
- Add ones: $0 + 3 + 1 = 4$
- Answer: $4.429$
14) $7.434 + 6.177$
- Add thousandths: $4 + 7 = 11$ (write 1, carry 1)
- Add hundredths: $3 + 7 + 1 = 11$ (write 1, carry 1)
- Add tenths: $4 + 1 + 1 = 6$
- Add ones: $7 + 6 = 13$
- Answer: $13.611$
15) $3.997 - 2.813$
- Subtract thousandths: $7 - 3 = 4$.
- Subtract hundredths: $9 - 1 = 8$.
- Subtract tenths: $9 - 8 = 1$.
- Subtract ones: $3 - 2 = 1$.
- Answer: $1.184$
16) $3.143 - 0.198$
- Subtract thousandths: $3 - 8$ needs borrowing. Borrow from 4 (becomes 3). $13 - 8 = 5$.
- Subtract hundredths: $3 - 9$ needs borrowing. Borrow from 1 (becomes 0). $13 - 9 = 4$.
- Subtract tenths: $0 - 1$ needs borrowing. Borrow from 3 (becomes 2). $10 - 1 = 9$.
- Subtract ones: $2 - 0 = 2$.
- Answer: $2.945$
Final Answer:
1) 5.024
2) 7.568
3) 0.77
4) 9.433
5) 1.784
6) 1.016
7) 12.654
8) 1.983
9) 13.555
10) 0.601
11) 10.403
12) 15.27
13) 4.429
14) 13.611
15) 1.184
16) 2.945
1) $3.897 + 1.127$
- Add the thousandths: $7 + 7 = 14$ (write 4, carry 1)
- Add the hundredths: $9 + 2 + 1 = 12$ (write 2, carry 1)
- Add the tenths: $8 + 1 + 1 = 10$ (write 0, carry 1)
- Add the ones: $3 + 1 + 1 = 5$
- Answer: $5.024$
2) $9.387 - 1.819$
- Subtract thousandths: $7 - 9$ needs borrowing. Borrow from 8 (becomes 7). $17 - 9 = 8$.
- Subtract hundredths: $7 - 1 = 6$.
- Subtract tenths: $3 - 8$ needs borrowing. Borrow from 9 (becomes 8). $13 - 8 = 5$.
- Subtract ones: $8 - 1 = 7$.
- Answer: $7.568$
3) $1.944 - 1.174$
- Subtract thousandths: $4 - 4 = 0$.
- Subtract hundredths: $4 - 7$ needs borrowing. Borrow from 9 (becomes 8). $14 - 7 = 7$.
- Subtract tenths: $8 - 1 = 7$.
- Subtract ones: $1 - 1 = 0$.
- Answer: $0.770$ (or just $0.77$)
4) $5.234 + 4.199$
- Add thousandths: $4 + 9 = 13$ (write 3, carry 1)
- Add hundredths: $3 + 9 + 1 = 13$ (write 3, carry 1)
- Add tenths: $2 + 1 + 1 = 4$
- Add ones: $5 + 4 = 9$
- Answer: $9.433$
5) $3.092 - 1.308$
- Subtract thousandths: $2 - 8$ needs borrowing. Borrow from 9 (becomes 8). $12 - 8 = 4$.
- Subtract hundredths: $8 - 0 = 8$.
- Subtract tenths: $0 - 3$ needs borrowing. Borrow from 3 (becomes 2). $10 - 3 = 7$.
- Subtract ones: $2 - 1 = 1$.
- Answer: $1.784$
6) $4.448 - 3.432$
- Subtract thousandths: $8 - 2 = 6$.
- Subtract hundredths: $4 - 3 = 1$.
- Subtract tenths: $4 - 4 = 0$.
- Subtract ones: $4 - 3 = 1$.
- Answer: $1.016$
7) $9.423 + 3.231$
- Add thousandths: $3 + 1 = 4$.
- Add hundredths: $2 + 3 = 5$.
- Add tenths: $4 + 2 = 6$.
- Add ones: $9 + 3 = 12$.
- Answer: $12.654$
8) $4.982 - 2.999$
- Subtract thousandths: $2 - 9$ needs borrowing. Borrow from 8 (becomes 7). $12 - 9 = 3$.
- Subtract hundredths: $7 - 9$ needs borrowing. Borrow from 9 (becomes 8). $17 - 9 = 8$.
- Subtract tenths: $8 - 9$ needs borrowing. Borrow from 4 (becomes 3). $18 - 9 = 9$.
- Subtract ones: $3 - 2 = 1$.
- Answer: $1.983$
9) $7.224 + 6.331$
- Add thousandths: $4 + 1 = 5$.
- Add hundredths: $2 + 3 = 5$.
- Add tenths: $2 + 3 = 5$.
- Add ones: $7 + 6 = 13$.
- Answer: $13.555$
10) $6.104 - 5.503$
- Subtract thousandths: $4 - 3 = 1$.
- Subtract hundredths: $0 - 0 = 0$.
- Subtract tenths: $1 - 5$ needs borrowing. Borrow from 6 (becomes 5). $11 - 5 = 6$.
- Subtract ones: $5 - 5 = 0$.
- Answer: $0.601$
11) $5.204 + 5.199$
- Add thousandths: $4 + 9 = 13$ (write 3, carry 1)
- Add hundredths: $0 + 9 + 1 = 10$ (write 0, carry 1)
- Add tenths: $2 + 1 + 1 = 4$
- Add ones: $5 + 5 = 10$
- Answer: $10.403$
12) $6.290 + 8.980$
- Add thousandths: $0 + 0 = 0$.
- Add hundredths: $9 + 8 = 17$ (write 7, carry 1)
- Add tenths: $2 + 9 + 1 = 12$ (write 2, carry 1)
- Add ones: $6 + 8 + 1 = 15$
- Answer: $15.270$ (or just $15.27$)
13) $0.987 + 3.442$
- Add thousandths: $7 + 2 = 9$.
- Add hundredths: $8 + 4 = 12$ (write 2, carry 1)
- Add tenths: $9 + 4 + 1 = 14$ (write 4, carry 1)
- Add ones: $0 + 3 + 1 = 4$
- Answer: $4.429$
14) $7.434 + 6.177$
- Add thousandths: $4 + 7 = 11$ (write 1, carry 1)
- Add hundredths: $3 + 7 + 1 = 11$ (write 1, carry 1)
- Add tenths: $4 + 1 + 1 = 6$
- Add ones: $7 + 6 = 13$
- Answer: $13.611$
15) $3.997 - 2.813$
- Subtract thousandths: $7 - 3 = 4$.
- Subtract hundredths: $9 - 1 = 8$.
- Subtract tenths: $9 - 8 = 1$.
- Subtract ones: $3 - 2 = 1$.
- Answer: $1.184$
16) $3.143 - 0.198$
- Subtract thousandths: $3 - 8$ needs borrowing. Borrow from 4 (becomes 3). $13 - 8 = 5$.
- Subtract hundredths: $3 - 9$ needs borrowing. Borrow from 1 (becomes 0). $13 - 9 = 4$.
- Subtract tenths: $0 - 1$ needs borrowing. Borrow from 3 (becomes 2). $10 - 1 = 9$.
- Subtract ones: $2 - 0 = 2$.
- Answer: $2.945$
Final Answer:
1) 5.024
2) 7.568
3) 0.77
4) 9.433
5) 1.784
6) 1.016
7) 12.654
8) 1.983
9) 13.555
10) 0.601
11) 10.403
12) 15.27
13) 4.429
14) 13.611
15) 1.184
16) 2.945
Parent Tip: Review the logic above to help your child master the concept of adding decimal worksheet.
