Question

january 13th- collaborative work:
name: date:
adding decimals
worksheet
42.3
+ 85.7
94.6
+ 36.8
35.75
+ 387.8
88.55
+ 25.8
772.7
+ 185.3
731.89
+ 462.9
1308.8
+ 6387.1
128.2
+ 399.8
919.7
+ 728.6
63.88
+ 82.17
3029.2
+ 5527.7
119.8
+ 487.1
857.3
633.2
+ 12.7
362.6
431.2
+ 298.5
80.82
62.17
+ 13.99
263.9
581.7
+ 198.7

Explanation:

Let's solve each decimal addition problem step by step:

First Row:

1. \( 42.3 + 85.7 \)

Step1: Align decimals and add

\( 42.3 + 85.7 = 128.0 \)

1. \( 94.6 + 36.8 \)

Step1: Align decimals and add

\( 94.6 + 36.8 = 131.4 \)

1. \( 35.75 + 387.8 \)

Step1: Align decimals (add trailing zero to 387.8: 387.80)

\( 35.75 + 387.80 = 423.55 \)

1. \( 88.55 + 25.8 \)

Step1: Align decimals (add trailing zero to 25.8: 25.80)

\( 88.55 + 25.80 = 114.35 \)

Second Row:

1. \( 772.7 + 185.3 \)

Step1: Align decimals and add

\( 772.7 + 185.3 = 958.0 \)

1. \( 731.89 + 462.9 \)

Step1: Align decimals (add trailing zero to 462.9: 462.90)

\( 731.89 + 462.90 = 1194.79 \)

1. \( 1308.8 + 6387.1 \)

Step1: Align decimals and add

\( 1308.8 + 6387.1 = 7695.9 \)

1. \( 128.2 + 399.8 \)

Step1: Align decimals and add

\( 128.2 + 399.8 = 528.0 \)

Third Row:

1. \( 919.7 + 728.6 \)

Step1: Align decimals and add

\( 919.7 + 728.6 = 1648.3 \)

1. \( 63.88 + 82.17 \)

Step1: Align decimals and add

\( 63.88 + 82.17 = 146.05 \)

1. \( 3029.2 + 5527.7 \)

Step1: Align decimals and add

\( 3029.2 + 5527.7 = 8556.9 \)

1. \( 119.8 + 487.1 \)

Step1: Align decimals and add

\( 119.8 + 487.1 = 606.9 \)

Fourth Row:

1. \( 857.3 + 633.2 + 12.7 \)

Step1: Add 857.3 and 633.2 first

\( 857.3 + 633.2 = 1490.5 \)

Step2: Add 12.7 to the result

\( 1490.5 + 12.7 = 1503.2 \)

1. \( 362.6 + 431.2 + 298.5 \)

Step1: Add 362.6 and 431.2 first

\( 362.6 + 431.2 = 793.8 \)

Step2: Add 298.5 to the result

\( 793.8 + 298.5 = 1092.3 \)

1. \( 80.82 + 62.17 + 13.99 \)

Step1: Add 80.82 and 62.17 first

\( 80.82 + 62.17 = 142.99 \)

Step2: Add 13.99 to the result

\( 142.99 + 13.99 = 156.98 \)

1. \( 263.9 + 581.7 + 198.7 \)

Step1: Add 263.9 and 581.7 first

\( 263.9 + 581.7 = 845.6 \)

Step2: Add 198.7 to the result

\( 845.6 + 198.7 = 1044.3 \)

Final Answers for Each Problem:

1. \( 42.3 + 85.7 = \boldsymbol{128.0} \)
2. \( 94.6 + 36.8 = \boldsymbol{131.4} \)
3. \( 35.75 + 387.8 = \boldsymbol{423.55} \)
4. \( 88.55 + 25.8 = \boldsymbol{114.35} \)
5. \( 772.7 + 185.3 = \boldsymbol{958.0} \)
6. \( 731.89 + 462.9 = \boldsymbol{1194.79} \)
7. \( 1308.8 + 6387.1 = \boldsymbol{7695.9} \)
8. \( 128.2 + 399.8 = \boldsymbol{528.0} \)
9. \( 919.7 + 728.6 = \boldsymbol{1648.3} \)
10. \( 63.88 + 82.17 = \boldsymbol{146.05} \)
11. \( 3029.2 + 5527.7 = \boldsymbol{8556.9} \)
12. \( 119.8 + 487.1 = \boldsymbol{606.9} \)
13. \( 857.3 + 633.2 + 12.7 = \boldsymbol{1503.2} \)
14. \( 362.6 + 431.2 + 298.5 = \boldsymbol{1092.3} \)
15. \( 80.82 + 62.17 + 13.99 = \boldsymbol{156.98} \)
16. \( 263.9 + 581.7 + 198.7 = \boldsymbol{1044.3} \)

Answer:

Let's solve each decimal addition problem step by step:

First Row:

1. \( 42.3 + 85.7 \)

Step1: Align decimals and add

\( 42.3 + 85.7 = 128.0 \)

1. \( 94.6 + 36.8 \)

Step1: Align decimals and add

\( 94.6 + 36.8 = 131.4 \)

1. \( 35.75 + 387.8 \)

Step1: Align decimals (add trailing zero to 387.8: 387.80)

\( 35.75 + 387.80 = 423.55 \)

1. \( 88.55 + 25.8 \)

Step1: Align decimals (add trailing zero to 25.8: 25.80)

\( 88.55 + 25.80 = 114.35 \)

Second Row:

1. \( 772.7 + 185.3 \)

Step1: Align decimals and add

\( 772.7 + 185.3 = 958.0 \)

1. \( 731.89 + 462.9 \)

Step1: Align decimals (add trailing zero to 462.9: 462.90)

\( 731.89 + 462.90 = 1194.79 \)

1. \( 1308.8 + 6387.1 \)

Step1: Align decimals and add

\( 1308.8 + 6387.1 = 7695.9 \)

1. \( 128.2 + 399.8 \)

Step1: Align decimals and add

\( 128.2 + 399.8 = 528.0 \)

Third Row:

1. \( 919.7 + 728.6 \)

Step1: Align decimals and add

\( 919.7 + 728.6 = 1648.3 \)

1. \( 63.88 + 82.17 \)

Step1: Align decimals and add

\( 63.88 + 82.17 = 146.05 \)

1. \( 3029.2 + 5527.7 \)

Step1: Align decimals and add

\( 3029.2 + 5527.7 = 8556.9 \)

1. \( 119.8 + 487.1 \)

Step1: Align decimals and add

\( 119.8 + 487.1 = 606.9 \)

Fourth Row:

1. \( 857.3 + 633.2 + 12.7 \)

Step1: Add 857.3 and 633.2 first

\( 857.3 + 633.2 = 1490.5 \)

Step2: Add 12.7 to the result

\( 1490.5 + 12.7 = 1503.2 \)

1. \( 362.6 + 431.2 + 298.5 \)

Step1: Add 362.6 and 431.2 first

\( 362.6 + 431.2 = 793.8 \)

Step2: Add 298.5 to the result

\( 793.8 + 298.5 = 1092.3 \)

1. \( 80.82 + 62.17 + 13.99 \)

Step1: Add 80.82 and 62.17 first

\( 80.82 + 62.17 = 142.99 \)

Step2: Add 13.99 to the result

\( 142.99 + 13.99 = 156.98 \)

1. \( 263.9 + 581.7 + 198.7 \)

Step1: Add 263.9 and 581.7 first

\( 263.9 + 581.7 = 845.6 \)

Step2: Add 198.7 to the result

\( 845.6 + 198.7 = 1044.3 \)

Final Answers for Each Problem:

1. \( 42.3 + 85.7 = \boldsymbol{128.0} \)
2. \( 94.6 + 36.8 = \boldsymbol{131.4} \)
3. \( 35.75 + 387.8 = \boldsymbol{423.55} \)
4. \( 88.55 + 25.8 = \boldsymbol{114.35} \)
5. \( 772.7 + 185.3 = \boldsymbol{958.0} \)
6. \( 731.89 + 462.9 = \boldsymbol{1194.79} \)
7. \( 1308.8 + 6387.1 = \boldsymbol{7695.9} \)
8. \( 128.2 + 399.8 = \boldsymbol{528.0} \)
9. \( 919.7 + 728.6 = \boldsymbol{1648.3} \)
10. \( 63.88 + 82.17 = \boldsymbol{146.05} \)
11. \( 3029.2 + 5527.7 = \boldsymbol{8556.9} \)
12. \( 119.8 + 487.1 = \boldsymbol{606.9} \)
13. \( 857.3 + 633.2 + 12.7 = \boldsymbol{1503.2} \)
14. \( 362.6 + 431.2 + 298.5 = \boldsymbol{1092.3} \)
15. \( 80.82 + 62.17 + 13.99 = \boldsymbol{156.98} \)
16. \( 263.9 + 581.7 + 198.7 = \boldsymbol{1044.3} \)