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Practice
Problems Involving Adding and Subtracting within 1000
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Problems Involving Adding and Subtracting within 1000: Difficult Problems with Solutions
By
Catalin David
Problem 1
345 + 435 =
Solution:
345 + 435 = 345 + 5 + 430 = 350 + 430 = 780
Problem 2
750 + 150 =
Solution:
750 + 150 = 750 + 50 + 100 = 800 + 100 = 900
Problem 3
745 + 238 =
Solution:
745 + 238 = 740 + 5 + 230 + 8 = (740 + 230) + (5 + 8) = 970 + 13 = 983
Problem 4
472 + 285 =
Solution:
472 + 285 = 450 + 22 + 250 + 35 = (450 + 250) + (22 + 35) = 700 + 57 = 757
Problem 5
386 + 495 =
Solution:
386 + 495 = 350 + 36 + 450 + 45 = (350 + 450) + (36 + 45) = 800 + 81 = 881
Problem 6
527 + 149 + 286 =
Solution:
527 + 149 + 286 = (500 + 20 + 7) + (100 + 40 + 9) + (200 + 80 + 6) = (500 + 100 + 200) + (20 + 40 + 80) + (7 + 9 + 6) = (500 + 100 + 200) + (20 + 40 + 80 + 22)=500 + 100 + 200 + 162 = 962
Problem 7
Find the perimeter of a triangle if its sides are:
120 cm, 394 cm, 278 cm.
Solution:
The perimeter is the sum of its sides: 120 + 394 +278 = 514 + 278 = 792
Problem 8
Find the perimeter of a triangle with sides: 133, 202 and 147.
Solution:
133 + 202 + 147 = (133 + 147) + 202 = 280 + 202 = 482
Problem 9
865 - 428 =
Solution:
865 - 428 = 865 - (425 + 3) = 865 - 425 - 3 = 440 - 3 = 437
Problem 10
724 - 459 =
Solution:
724 - 459 = 724 - (424 + 35) = 724 - 424 - 35 = 300 - 35 = 300 - (30 + 5) = 300 - 30 - 5 = 270 - 5 = 265
Problem 11
754 - 387 - 259 =
Solution:
754 - 387 - 259 = 754 - (387 + 259)= 754 - 646 = 754 - (644 + 2) = 754 - 644 - 2 = 110 - 2 = 108
Problem 12
There are 460 bells in a souvenir storage. 135 are bronzed. 200 are glass bells and the rest are silver. How many are the silver bells?
Solution:
Silver are 460 - 135 - 200 = 325 - 200 = 125
Problem 13
256 + 183 + 344 + 217 =
Solution:
Because we only have additions without brackets we can group the numbers so that the additions are done more easily.
256 + 183 + 344 + 217 = (256 + 344) + (188 + 217) =600 + 400 = 1000
Problem 14
526 - 289 + 274 - 311 =
Solution:
We can calculate easier this way
526 - 289 + 274 - 311 = (526 + 274) - (289 + 311)= 800 - 600 = 200
Problem 15
There are 653 people on a train. At the first stop, 187 get off and 135 get on. How many people will be on the train?
Solution:
653 - 187 + 135 = 653 + 135 - 187 = 788 - 187 = 601
Problem 16
What is the sum of all three-digit numbers whose sum of digits is 2?
Solution:
The three-digit numbers whose sum of digits is two are 110, 101 and 200. Thus, their sum will be 110 + 101 + 200 = 211 + 200 = 411
Problem 17
The sum of even numbers from 243 to 248 is
Solution:
The even numbers from 243 to 248 are 244, 246, 248 244 + 246 + 248 = 490 + 248 = 738
Problem 18
The difference between the greatest even 3-digit number and the smallest odd 3-digit number is
Solution:
The greatest even 3-digit is 998.
The smallest odd 3-digit is 101.
998 - 101 = 897
Problem 19
The sum of even numbers between 243 and 247 is:
Solution:
The numbers between 243 and 247 are 244 and 246
244 + 246 = 490
Problem 20
The sum of the smallest 3-digit number whose digits are even and consecutive and the smallest such number whose digits are odd and consecutive is
Solution:
The smallest 3-digit number whose digits are even and consecutive is 246
The smallest 3-digit number whose digits are odd and consecutive is 135
246 + 135 = 381
Problem 21
124 + 185 + 276 + 319 - 124 - 185 - 276 =
Solution:
We can calculate in this way.
124 - 124 + 185 - 185 + 276 - 276 + 319 = 0 + 0 + 0 + 319 = 319
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