Adding Decimal Ten Thousandths with 1 Digit Before the Decimal ... - Free Printable
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Step-by-step solution for: Adding Decimal Ten Thousandths with 1 Digit Before the Decimal ...
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Show Answer Key & Explanations
Step-by-step solution for: Adding Decimal Ten Thousandths with 1 Digit Before the Decimal ...
To solve these problems, we need to add the two numbers in each column. Since these are decimals, the most important rule is to line up the decimal points straight down. That way, we are adding the correct places (ones with ones, tenths with tenths, hundredths with hundredths, etc.).
Let's go through each column one by one.
Row 1:
1. 3.3208 + 3.1034
* 8 + 4 = 12 (write 2, carry 1)
* 0 + 3 + 1 = 4
* 2 + 0 = 2
* 3 + 1 = 4
* 3 + 3 = 6
* Result: 6.4242
2. 1.2780 + 9.4227
* 0 + 7 = 7
* 8 + 2 = 10 (write 0, carry 1)
* 7 + 2 + 1 = 10 (write 0, carry 1)
* 2 + 4 + 1 = 7
* 1 + 9 = 10
* Result: 10.7007
3. 6.3020 + 3.8236
* 0 + 6 = 6
* 2 + 3 = 5
* 0 + 2 = 2
* 3 + 8 = 11 (write 1, carry 1)
* 6 + 3 + 1 = 10
* Result: 10.1256
4. 8.9700 + 7.3506
* 0 + 6 = 6
* 0 + 0 = 0
* 7 + 5 = 12 (write 2, carry 1)
* 9 + 3 + 1 = 13 (write 3, carry 1)
* 8 + 7 + 1 = 16
* Result: 16.3206
5. 6.7710 + 8.6639
* 0 + 9 = 9
* 1 + 3 = 4
* 7 + 6 = 13 (write 3, carry 1)
* 7 + 6 + 1 = 14 (write 4, carry 1)
* 6 + 8 + 1 = 15
* Result: 15.4349
Row 2:
1. 5.0834 + 5.1490
* 4 + 0 = 4
* 3 + 9 = 12 (write 2, carry 1)
* 8 + 4 + 1 = 13 (write 3, carry 1)
* 0 + 1 + 1 = 2
* 5 + 5 = 10
* Result: 10.2324
2. 4.7528 + 6.0068
* 8 + 8 = 16 (write 6, carry 1)
* 2 + 6 + 1 = 9
* 5 + 0 = 5
* 7 + 0 = 7
* 4 + 6 = 10
* Result: 10.7596
3. 9.8281 + 5.9578
* 1 + 8 = 9
* 8 + 7 = 15 (write 5, carry 1)
* 2 + 5 + 1 = 8
* 8 + 9 = 17 (write 7, carry 1)
* 9 + 5 + 1 = 15
* Result: 15.7859
4. 1.5615 + 6.8288
* 5 + 8 = 13 (write 3, carry 1)
* 1 + 8 + 1 = 10 (write 0, carry 1)
* 6 + 2 + 1 = 9
* 5 + 8 = 13 (write 3, carry 1)
* 1 + 6 + 1 = 8
* Result: 8.3903
5. 1.5320 + 3.3071
* 0 + 1 = 1
* 2 + 7 = 9
* 3 + 0 = 3
* 5 + 3 = 8
* 1 + 3 = 4
* Result: 4.8391
Row 3:
1. 5.7272 + 9.4581
* 2 + 1 = 3
* 7 + 8 = 15 (write 5, carry 1)
* 2 + 5 + 1 = 8
* 7 + 4 = 11 (write 1, carry 1)
* 5 + 9 + 1 = 15
* Result: 15.1853
2. 2.6831 + 6.3670
* 1 + 0 = 1
* 3 + 7 = 10 (write 0, carry 1)
* 8 + 6 + 1 = 15 (write 5, carry 1)
* 6 + 3 + 1 = 10 (write 0, carry 1)
* 2 + 6 + 1 = 9
* Result: 9.0501
3. 2.4188 + 6.9993
* 8 + 3 = 11 (write 1, carry 1)
* 8 + 9 + 1 = 18 (write 8, carry 1)
* 1 + 9 + 1 = 11 (write 1, carry 1)
* 4 + 9 + 1 = 14 (write 4, carry 1)
* 2 + 6 + 1 = 9
* Result: 9.4181
4. 7.1347 + 7.0684
* 7 + 4 = 11 (write 1, carry 1)
* 4 + 8 + 1 = 13 (write 3, carry 1)
* 3 + 6 + 1 = 10 (write 0, carry 1)
* 1 + 0 + 1 = 2
* 7 + 7 = 14
* Result: 14.2031
5. 1.4136 + 9.3085
* 6 + 5 = 11 (write 1, carry 1)
* 3 + 8 + 1 = 12 (write 2, carry 1)
* 1 + 0 + 1 = 2
* 4 + 3 = 7
* 1 + 9 = 10
* Result: 10.7221
Row 4:
1. 1.8259 + 9.2303
* 9 + 3 = 12 (write 2, carry 1)
* 5 + 0 + 1 = 6
* 2 + 3 = 5
* 8 + 2 = 10 (write 0, carry 1)
* 1 + 9 + 1 = 11
* Result: 11.0562
2. 7.7631 + 9.3411
* 1 + 1 = 2
* 3 + 1 = 4
* 6 + 4 = 10 (write 0, carry 1)
* 7 + 3 + 1 = 11 (write 1, carry 1)
* 7 + 9 + 1 = 17
* Result: 17.1042
3. 1.4501 + 3.2125
* 1 + 5 = 6
* 0 + 2 = 2
* 5 + 1 = 6
* 4 + 2 = 6
* 1 + 3 = 4
* Result: 4.6626
4. 2.7518 + 7.8370
* 8 + 0 = 8
* 1 + 7 = 8
* 5 + 3 = 8
* 7 + 8 = 15 (write 5, carry 1)
* 2 + 7 + 1 = 10
* Result: 10.5888
5. 4.7777 + 6.7061
* 7 + 1 = 8
* 7 + 6 = 13 (write 3, carry 1)
* 7 + 0 + 1 = 8
* 7 + 7 = 14 (write 4, carry 1)
* 4 + 6 + 1 = 11
* Result: 11.4838
Row 5:
1. 5.6818 + 1.6802
* 8 + 2 = 10 (write 0, carry 1)
* 1 + 0 + 1 = 2
* 8 + 8 = 16 (write 6, carry 1)
* 6 + 6 + 1 = 13 (write 3, carry 1)
* 5 + 1 + 1 = 7
* Result: 7.3620
2. 6.7387 + 2.2596
* 7 + 6 = 13 (write 3, carry 1)
* 8 + 9 + 1 = 18 (write 8, carry 1)
* 3 + 5 + 1 = 9
* 7 + 2 = 9
* 6 + 2 = 8
* Result: 8.9983
3. 5.1803 + 6.8320
* 3 + 0 = 3
* 0 + 2 = 2
* 8 + 3 = 11 (write 1, carry 1)
* 1 + 8 + 1 = 10 (write 0, carry 1)
* 5 + 6 + 1 = 12
* Result: 12.0123
4. 9.3783 + 2.8516
* 3 + 6 = 9
* 8 + 1 = 9
* 7 + 5 = 12 (write 2, carry 1)
* 3 + 8 + 1 = 12 (write 2, carry 1)
* 9 + 2 + 1 = 12
* Result: 12.2299
5. 3.2775 + 9.1672
* 5 + 2 = 7
* 7 + 7 = 14 (write 4, carry 1)
* 7 + 6 + 1 = 14 (write 4, carry 1)
* 2 + 1 + 1 = 4
* 3 + 9 = 12
* Result: 12.4447
Row 6:
1. 7.2683 + 9.5902
* 3 + 2 = 5
* 8 + 0 = 8
* 6 + 9 = 15 (write 5, carry 1)
* 2 + 5 + 1 = 8
* 7 + 9 = 16
* Result: 16.8585
2. 3.1314 + 5.4750
* 4 + 0 = 4
* 1 + 5 = 6
* 3 + 7 = 10 (write 0, carry 1)
* 1 + 4 + 1 = 6
* 3 + 5 = 8
* Result: 8.6064
3. 7.2718 + 9.6863
* 8 + 3 = 11 (write 1, carry 1)
* 1 + 6 + 1 = 8
* 7 + 8 = 15 (write 5, carry 1)
* 2 + 6 + 1 = 9
* 7 + 9 = 16
* Result: 16.9581
4. 7.8192 + 7.2669
* 2 + 9 = 11 (write 1, carry 1)
* 9 + 6 + 1 = 16 (write 6, carry 1)
* 1 + 6 + 1 = 8
* 8 + 2 = 10 (write 0, carry 1)
* 7 + 7 + 1 = 15
* Result: 15.0861
5. 9.6304 + 3.5052
* 4 + 2 = 6
* 0 + 5 = 5
* 3 + 0 = 3
* 6 + 5 = 11 (write 1, carry 1)
* 9 + 3 + 1 = 13
* Result: 13.1356
Final Answer:
Here are the sums for each problem:
Row 1:
6.4242, 10.7007, 10.1256, 16.3206, 15.4349
Row 2:
10.2324, 10.7596, 15.7859, 8.3903, 4.8391
Row 3:
15.1853, 9.0501, 9.4181, 14.2031, 10.7221
Row 4:
11.0562, 17.1042, 4.6626, 10.5888, 11.4838
Row 5:
7.3620, 8.9983, 12.0123, 12.2299, 12.4447
Row 6:
16.8585, 8.6064, 16.9581, 15.0861, 13.1356
Let's go through each column one by one.
Row 1:
1. 3.3208 + 3.1034
* 8 + 4 = 12 (write 2, carry 1)
* 0 + 3 + 1 = 4
* 2 + 0 = 2
* 3 + 1 = 4
* 3 + 3 = 6
* Result: 6.4242
2. 1.2780 + 9.4227
* 0 + 7 = 7
* 8 + 2 = 10 (write 0, carry 1)
* 7 + 2 + 1 = 10 (write 0, carry 1)
* 2 + 4 + 1 = 7
* 1 + 9 = 10
* Result: 10.7007
3. 6.3020 + 3.8236
* 0 + 6 = 6
* 2 + 3 = 5
* 0 + 2 = 2
* 3 + 8 = 11 (write 1, carry 1)
* 6 + 3 + 1 = 10
* Result: 10.1256
4. 8.9700 + 7.3506
* 0 + 6 = 6
* 0 + 0 = 0
* 7 + 5 = 12 (write 2, carry 1)
* 9 + 3 + 1 = 13 (write 3, carry 1)
* 8 + 7 + 1 = 16
* Result: 16.3206
5. 6.7710 + 8.6639
* 0 + 9 = 9
* 1 + 3 = 4
* 7 + 6 = 13 (write 3, carry 1)
* 7 + 6 + 1 = 14 (write 4, carry 1)
* 6 + 8 + 1 = 15
* Result: 15.4349
Row 2:
1. 5.0834 + 5.1490
* 4 + 0 = 4
* 3 + 9 = 12 (write 2, carry 1)
* 8 + 4 + 1 = 13 (write 3, carry 1)
* 0 + 1 + 1 = 2
* 5 + 5 = 10
* Result: 10.2324
2. 4.7528 + 6.0068
* 8 + 8 = 16 (write 6, carry 1)
* 2 + 6 + 1 = 9
* 5 + 0 = 5
* 7 + 0 = 7
* 4 + 6 = 10
* Result: 10.7596
3. 9.8281 + 5.9578
* 1 + 8 = 9
* 8 + 7 = 15 (write 5, carry 1)
* 2 + 5 + 1 = 8
* 8 + 9 = 17 (write 7, carry 1)
* 9 + 5 + 1 = 15
* Result: 15.7859
4. 1.5615 + 6.8288
* 5 + 8 = 13 (write 3, carry 1)
* 1 + 8 + 1 = 10 (write 0, carry 1)
* 6 + 2 + 1 = 9
* 5 + 8 = 13 (write 3, carry 1)
* 1 + 6 + 1 = 8
* Result: 8.3903
5. 1.5320 + 3.3071
* 0 + 1 = 1
* 2 + 7 = 9
* 3 + 0 = 3
* 5 + 3 = 8
* 1 + 3 = 4
* Result: 4.8391
Row 3:
1. 5.7272 + 9.4581
* 2 + 1 = 3
* 7 + 8 = 15 (write 5, carry 1)
* 2 + 5 + 1 = 8
* 7 + 4 = 11 (write 1, carry 1)
* 5 + 9 + 1 = 15
* Result: 15.1853
2. 2.6831 + 6.3670
* 1 + 0 = 1
* 3 + 7 = 10 (write 0, carry 1)
* 8 + 6 + 1 = 15 (write 5, carry 1)
* 6 + 3 + 1 = 10 (write 0, carry 1)
* 2 + 6 + 1 = 9
* Result: 9.0501
3. 2.4188 + 6.9993
* 8 + 3 = 11 (write 1, carry 1)
* 8 + 9 + 1 = 18 (write 8, carry 1)
* 1 + 9 + 1 = 11 (write 1, carry 1)
* 4 + 9 + 1 = 14 (write 4, carry 1)
* 2 + 6 + 1 = 9
* Result: 9.4181
4. 7.1347 + 7.0684
* 7 + 4 = 11 (write 1, carry 1)
* 4 + 8 + 1 = 13 (write 3, carry 1)
* 3 + 6 + 1 = 10 (write 0, carry 1)
* 1 + 0 + 1 = 2
* 7 + 7 = 14
* Result: 14.2031
5. 1.4136 + 9.3085
* 6 + 5 = 11 (write 1, carry 1)
* 3 + 8 + 1 = 12 (write 2, carry 1)
* 1 + 0 + 1 = 2
* 4 + 3 = 7
* 1 + 9 = 10
* Result: 10.7221
Row 4:
1. 1.8259 + 9.2303
* 9 + 3 = 12 (write 2, carry 1)
* 5 + 0 + 1 = 6
* 2 + 3 = 5
* 8 + 2 = 10 (write 0, carry 1)
* 1 + 9 + 1 = 11
* Result: 11.0562
2. 7.7631 + 9.3411
* 1 + 1 = 2
* 3 + 1 = 4
* 6 + 4 = 10 (write 0, carry 1)
* 7 + 3 + 1 = 11 (write 1, carry 1)
* 7 + 9 + 1 = 17
* Result: 17.1042
3. 1.4501 + 3.2125
* 1 + 5 = 6
* 0 + 2 = 2
* 5 + 1 = 6
* 4 + 2 = 6
* 1 + 3 = 4
* Result: 4.6626
4. 2.7518 + 7.8370
* 8 + 0 = 8
* 1 + 7 = 8
* 5 + 3 = 8
* 7 + 8 = 15 (write 5, carry 1)
* 2 + 7 + 1 = 10
* Result: 10.5888
5. 4.7777 + 6.7061
* 7 + 1 = 8
* 7 + 6 = 13 (write 3, carry 1)
* 7 + 0 + 1 = 8
* 7 + 7 = 14 (write 4, carry 1)
* 4 + 6 + 1 = 11
* Result: 11.4838
Row 5:
1. 5.6818 + 1.6802
* 8 + 2 = 10 (write 0, carry 1)
* 1 + 0 + 1 = 2
* 8 + 8 = 16 (write 6, carry 1)
* 6 + 6 + 1 = 13 (write 3, carry 1)
* 5 + 1 + 1 = 7
* Result: 7.3620
2. 6.7387 + 2.2596
* 7 + 6 = 13 (write 3, carry 1)
* 8 + 9 + 1 = 18 (write 8, carry 1)
* 3 + 5 + 1 = 9
* 7 + 2 = 9
* 6 + 2 = 8
* Result: 8.9983
3. 5.1803 + 6.8320
* 3 + 0 = 3
* 0 + 2 = 2
* 8 + 3 = 11 (write 1, carry 1)
* 1 + 8 + 1 = 10 (write 0, carry 1)
* 5 + 6 + 1 = 12
* Result: 12.0123
4. 9.3783 + 2.8516
* 3 + 6 = 9
* 8 + 1 = 9
* 7 + 5 = 12 (write 2, carry 1)
* 3 + 8 + 1 = 12 (write 2, carry 1)
* 9 + 2 + 1 = 12
* Result: 12.2299
5. 3.2775 + 9.1672
* 5 + 2 = 7
* 7 + 7 = 14 (write 4, carry 1)
* 7 + 6 + 1 = 14 (write 4, carry 1)
* 2 + 1 + 1 = 4
* 3 + 9 = 12
* Result: 12.4447
Row 6:
1. 7.2683 + 9.5902
* 3 + 2 = 5
* 8 + 0 = 8
* 6 + 9 = 15 (write 5, carry 1)
* 2 + 5 + 1 = 8
* 7 + 9 = 16
* Result: 16.8585
2. 3.1314 + 5.4750
* 4 + 0 = 4
* 1 + 5 = 6
* 3 + 7 = 10 (write 0, carry 1)
* 1 + 4 + 1 = 6
* 3 + 5 = 8
* Result: 8.6064
3. 7.2718 + 9.6863
* 8 + 3 = 11 (write 1, carry 1)
* 1 + 6 + 1 = 8
* 7 + 8 = 15 (write 5, carry 1)
* 2 + 6 + 1 = 9
* 7 + 9 = 16
* Result: 16.9581
4. 7.8192 + 7.2669
* 2 + 9 = 11 (write 1, carry 1)
* 9 + 6 + 1 = 16 (write 6, carry 1)
* 1 + 6 + 1 = 8
* 8 + 2 = 10 (write 0, carry 1)
* 7 + 7 + 1 = 15
* Result: 15.0861
5. 9.6304 + 3.5052
* 4 + 2 = 6
* 0 + 5 = 5
* 3 + 0 = 3
* 6 + 5 = 11 (write 1, carry 1)
* 9 + 3 + 1 = 13
* Result: 13.1356
Final Answer:
Here are the sums for each problem:
Row 1:
6.4242, 10.7007, 10.1256, 16.3206, 15.4349
Row 2:
10.2324, 10.7596, 15.7859, 8.3903, 4.8391
Row 3:
15.1853, 9.0501, 9.4181, 14.2031, 10.7221
Row 4:
11.0562, 17.1042, 4.6626, 10.5888, 11.4838
Row 5:
7.3620, 8.9983, 12.0123, 12.2299, 12.4447
Row 6:
16.8585, 8.6064, 16.9581, 15.0861, 13.1356
Parent Tip: Review the logic above to help your child master the concept of addition worksheet ten thousands.