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Tính chất giao hoán, tính chất kết hợp của phép cộng - Toán 4

1. Tính chất giao hoán của phép cộng

5 + 7 = 12, 7 + 5 = 12 nên 5 + 7 = 7 + 2
Khi đổi chỗ các số hạng trong một tổng thì tổng không thay đổi
a + b = b + a
Ví dụ: 128 + 316 = 316 + 128
 

2. Tính chất kết hợp của phép cộng

Khi cộng một tổng hai số với số thứ ba, ta có thể cộng số thứ nhất với tổng của số thứ hai và số thứ ba
(a + b) + c = a + (b + c)
Ví dụ 1. 89 + 25 + 111 = (89 + 111) + 25 
                                = 200 + 25 = 225

Ví dụ 2. Tính bằng cách thuận tiện

a) 1 420 + 1 694 + 580 + 306 b) 1 857 + 2 557 + 443 + 143 c) 223 + 540 + 777 + 460

Hướng dẫn giải

a) 1 420 + 1 694 + 80 + 306 = (1 420 + 580) + (1 694 + 306)             = 2 000 + 2 000             = 4 000 b) 1 857 + 2 557 + 443 + 143 = (1 857 + 143) + (2 557 + 443)             = 2 000 + 3 000             = 5 000 c) 223 + 540 + 777 + 460 = (223 + 777) + (540 + 460)             = 1 000 + 1 000             = 2 000

Ví dụ 3. Điền dấu >, <, = thích hợp vào chỗ chấm

Hướng dẫn giải

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