Simplify the following, choosing the easiest order to perform the addition:
Problem 1 :
8 + 259 + 92
Solution :
= 8 + 259 + 92
By grouping,
= (92 + 8) + 259
= 100 + 259
= 359
Problem 2 :
137 + 269 + 63
Solution :
= 137 + 269 + 63
By grouping,
= 137 + 269 + 63
= 137 + 63 + 269
= 200 + 269
= 469
Problem 3 :
987 + 241 + 159
Solution :
= 987 + 241 + 159
By grouping,
= 987 + 241 + 159
= 987 + 400
= 900 + 400 + 87
= 1387
Problem 4 :
163 + 979 + 21
Solution :
= 163 + 979 + 21
By grouping,
= 163 + 979 + 21
= 163 + 1000
= 1163
Problem 5 :
567 + 167 + 33
Solution :
= 567 + 167 + 33
By grouping,
= 567 + 167 + 33
= 567 + (167 + 33)
= 567 + 200
= 767
Problem 6 :
364 + 779 + 636
Solution :
= 364 + 779 + 636
By grouping,
= 300 + 64 + 779 + 600 + 36
= (300 + 600) + (64 + 36) + 779
= 900 + 100 + 779
= 1000 + 779
= 1779
Problem 7 :
978 + 777 + 22
Solution :
= 978 + 777 + 22
By grouping,
= 900 + 78 + 700 + 77 + 22
= (900 + 700) + (78 + 22) + 77
= 1600 + 100 + 77
= 1700 + 77
= 1777
Problem 8 :
99 + 899 + 1901
Solution :
= 99 + 899 + 1901
By grouping,
= 99 + 800 + 99 + 1900 + 1
= (99 + 1) + (800 + 1900) + 99
=
Problem 9 :
89 + 75 + 25 + 11
Solution :
= 89 + 75 + 25 + 11
= (89 + 11) + (25 + 75)
= 100 + 100
= 200
Problem 10 :
Find the sum of 5, 7 and 8
Solution :
The sum of 5, 7 and 8
= 5 + 7 + 8
= 12 + 8
= 20
So, the sum of 5, 7 and 8 is 20.
Problem 11 :
Find the difference between 19 and 56
Solution :
Difference between 19 and 56.
= 56 - 19
= 37
Problem 12 :
Find the sum of the first 10 natural numbers
Solution :
The first 10 natural numbers are
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
= 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
= (1 + 9) + (2 + 8) + (3 + 7) + (4 + 6) + (5 + 10)
= 10 + 10 + 10 + 10 + 15
= 55
Problem 13 :
Find by how much 639 exceeds 483.
Solution :
483 exceeds by how much to receive 639
483 + x = 639
x = 639 - 483
= 156
Problem 14 :
What number must be increased by 374 to get 832?
Solution :
Let x be the number increased with 374.
x + 374 = 832
x = 832 - 374
= 458
So, the required number is 458.
Problem 15 :
What number must be decreased by 674 to get 3705?
Solution :
Let x be the required number.
x - 674 = 3705
x = 3705 + 674
= 4379
So, the required number is 4379.
Problem 16 :
Mount Cook in New Zealand is 3765 m above sea level, whereas Mount Manaslu in Nepal is 8163 m high. How much higher is Mount Manaslu than Mount Cook?
Solution :
Height of Mount cook = 3765 m
Height of Mount Manaslu = 8163 m
Difference between the heights = 8163 - 3765
= 4398
Problem 17 :
In a golf tournament Vijay won the first prize of $463 700. Aaron came second, winning $238000. What was the difference between the two prizes? What would they each have won if they had tied?
Solution :
Winning amount of first prize = $463700
Winning amount of second prize = $238000
Difference between the prizes = 463700 - 238000
= 225700
Problem 18 :
My bank account balance was $7667: If I withdrew amounts of $1379, $2608 and $937, what is my bank balance now?
Solution :
Balance amount = $7667
Withdrawal amount = 1379, 2608 and 937
Balance amount = 7667 - (1379 + 2608 + 937)
= 7667 - 4924
= 2743
Problem 19 :
Sally stands on some scales with a 15 kg dumbbell in each hand. If the scales read 92 kg, what does she weigh?
Solution :
Weight of dumbbell = 15 kg
Weight of two dumbbells = 2(15)
= 30 kg
weight of Sally + weight of dumbbells = 92 kg
Weight of Sally + 30 = 92 kg
Wight of Sally = 92 - 30
= 62 kg
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