Decompose the numbers
Thinking Questions
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200

What is 263 + 149 decomposed into friendly numbers?

263 - 200, 60, 3 (or stay the same) 

149 - 100, 40, 9 

200

What is a friendly number?

ex. A friendly number is a number that is easy to work with when solving math problems. For example, numbers like 10, 20, 50, 100, or 1,000 are friendly because they make adding and subtracting

200

Solve: 57 + 38 with friendly numbers.

57 ----> 57 

38 ----> 30 and 8 

57 + 30 = 87

87+8 = 95

200

Solve 300 - 145 using friendly numbers.

300 --- (stay the same) 

145 --- 100, 40,5 

300 - 100 = 200 

200 - 40 = 160 

160 - 5 = 155

200

Re-write this to make it a friendly number equation 450 + 275 =

400 + 200 + 50 + 70 + 0 +5 =


400

What is 486-224 decomposed?

486 (stay the same) 

224 - 200, 20, 4 


400

Give me any friendly number? 

1, 5, 10, 20, 100

400

Solve with friendly numbers: 124 + 56 =

124 ---> 100, 20, 4

56 ----> 50, 6

100 + 0 = 100

20 + 50 = 70

4 + 6 = 10 

100 + 70 + 10 = 180


400

Solve using friendly numbers/decomposing: 500-236=

500 ----> stay the same 

236 ----> 200, 30, 6 

500-200 = 300 

300 - 30 = 270 

270 - 6 = 264

400

How do you break down 675 - 289

675 ---> 600, 70, 5 

289 ---> 200, 80, 9

600

What is 715 + 198 decomposed?

715 - 700, 10, 5 (or stay the same)

198 - 100, 90, 8 


600

Give an example of two friendly number that add to 50?

example. 

30+20 

40+10

600

Solve: 134 + 67= using friendly numbers. 

134 ---> 100, 30, 4

67 ---> 60, 7 

100 + 0 = 100 

60 + 30 = 90 

4 + 7 = 11

100 + 90 = 200 

200 +11 = 211

600

Solve: 800 - 278 = using decomposition

800 ---> 800

278 ---> 200, 70, 8 

800- 200 = 600 

600 - 70 = 530 

530 - 8 = 522

600

What is the fastest way to calculate 937 - 485?

answers may vary

800

What is 512 + 367 decomposed into friendly numbers?

512 - 500, 10, 2 (or can stay the same)

367 - 300, 60, 7

800
Break down this number 1345

1000

300

40 

5

800

Solve 213+89= using decomposition. 

213 ---> 200, 10, 3

89 ---> 80, 9 

200 + 0 = 200

10 + 80 = 90

3 + 9 = 12

200 + 90= 290 

290 + 12= 302

800

Solve 900 - 432 = using friendly numbers

900 ---> 900

432 ---> 400, 30, 2

900 - 400 = 500 

500 - 30 = 470 

470 - 2 = 468

800

How would you break down 999 - 456 =

999 ---> 900, 90, 9 

456 ---> 400, 50, 6

1000

What is 845 - 378 decomposed into friendly numbers? 

845 - 800, 40, 5 (or stay the same)

378 - 300, 70, 8

1000

How do friendly numbers help in mental math?

example answer: 

Friendly numbers help in mental math by making calculations easier and faster. They are numbers that are simple to work with because they follow patterns like being multiples of 10, 50, or 100. Using friendly numbers allows you to solve math problems in your head without needing paper or a calculator.

1000

Solve 245 + 376= using decomposition 

245 ---> 200, 40, 5 

376 ---> 300, 70, 6 

200 + 300 = 500 

40 + 70 = 110 

5 + 6 = 11

500 + 110 = 610

610 + 11 = 621

1000

Solve 650 - 299 = using friendly numbers

650 ---> 600, 50

299 ---> 200, 90, 9

600 - 200 = 400 

90 - 50 = 40 

9 - 0 = 9 

400 - 40 = 360 

360 - 9 = 351


1000

Solve 1,123 - 678 mentally?

1000 - 0 = 1000 

600 - 100 = 500 

70 - 20 = 50 

8 - 3 = 5 

1000 - 500 = 500 

500 - 50 = 450 

450 - 5 = 445