Partial Sum Method
Compensation
Stacking
Decimals
Word Probelms
100

320 + 241 = 

500 + 60 + 1 = 561

100

98 + 45 = 

100 + 43 = 143

100

234 + 152 =

386

100

2.3 + 1.4 =

 3.7

100

A library has 125 fiction books and 143 nonfiction books.

How many books are there altogether?

268 books

125 + 143 = 268

200

543 + 236 = 

700 + 70 + 9 = 

200

299 + 176 = 

300 + 175 = 475

200

468 + 257 = 

725

200

4.25 + 3.16 = 

7.41

200

A school collected 378 cans on Monday and 456 cans on Tuesday.

How many cans were collected altogether?

834 cans

378 + 456 = 834

300

822 + 164 = 

900 + 80 + 6 = 986

300

497 + 268

500 + 265 = 765

300

1,785 + 2,649 =

4,434

300

5.478 + 2.356 = 

7.834

300

Maya walked 2.45 km on Saturday and 3.375 km on Sunday.

How far did she walk altogether?

 5.825 km

2.450 + 3.375 = 5.825

400

375 + 517 = 

800 + 80 + 12 = 892

400

1,998 + 756 =

2,000 + 754 = 2,754

400

6,758 + 4,896 =

11,654

400

8.65 + 3.789 =

12.439

400

A school raised $1,478.65 at a bake sale and $2,896.75 at a basketball fundraiser.

How much money did the school raise altogether?

$4,375.40

1,478.65 + 2,896.75 = 4,375.40

500

667 + 253 = 

800 + 110 + 10 = 920

500

A student changes 4,995 + 2,687 into 5,000 + 2,687. Explain the mistake and solve correctly using compensation.

The student added 5 to the first number but forgot to subtract 5 from the second number.

5,000 + 2,682 = 7,682

500

Use the traditional stacking method to solve:

48,769 + 37,584 + 6,895

93,248

500

A student says:

6.875 + 4.968 = 10.843

Is the student correct? Explain the mistake and find the correct answer.

11.843

500

A hiking group travelled:

  • 3.875 km in the morning

  • 4.96 km in the afternoon

  • 2.785 km in the evening

Their goal was to travel 12 km.

Did they reach their goal? How much farther must they travel, or how far did they exceed it?

No, they did not reach their goal.

3.875 + 4.960 + 2.785 = 11.620 km

12 − 11.620 = 0.380 km

They need to travel another 0.380 km (380 metres) to reach their goal.