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Giải bài 42: Tính chất phân phối của phép nhân đối với phép cộng (tiết 1) trang 17 vở bài tập Toán 4 - Kết nối tri thức với cuộc sống

a) Tính giá trị của biểu thức với m = 4, n = 2, p = 7. Có 5 túi cam và 4 túi xoài, mỗi túi đều có 12 quả. Hỏi cả cam và xoài có bao nhiêu quả?

✱Tổng hợp đề thi học kì 2 lớp 4 tất cả các môn - Kết nối tri thức

Toán - Tiếng Việt - Tiếng Anh
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Câu 1

Tính bằng hai cách (theo mẫu).

Phương pháp giải:

Cách 1: Với biểu thức có chứa dấu ngoặc, ta thực hiện phép tính ở trong ngoặc trước Cách 2: Áp dụng tính chất phân phối của phép nhân đối với phép cộng: a x (b + c) = a x b + a x c (a + b) x c = a x c + b x c

Lời giải chi tiết:

a) Cách 1: 25 x (3 + 4) = 25 x 7                                    = 175     Cách 2:  25 x (3 + 4) = 25 x 3 + 25 x 4                                     = 75 + 100 = 175 b) Cách 1: (15 + 9) x 8 = 24 x 8                                    = 192     Cách 2: (15 + 9) x 8 = 15 x 8 + 9 x 8                                    = 120 + 72 = 192

Câu 2

a) Tính giá trị của biểu thức với m = 4, n = 2, p = 7. m x (n + p) = ………………………… (m + n) x p = ………………………… m x n + m x p = ……………………… m x p + n x p = ……………………… b) Đ, S ? Trong câu a, ta có: m x (n + p) = (m x n) + p                                         m x (n + p) = m x n + m x p                                     (m + n) x p = m + n x p (m + n) x p = m x p + n x p

Phương pháp giải:

Thay chữ bằng số rồi tính giá trị biểu thức đó.

Lời giải chi tiết:

a) Với m = 4, n = 2, p = 7 thì: m x (n + p) = 4 x (2 + 7) = 4 x 9 = 36 (m + n) x p = (4 + 2) x 7 = 6 x 7 = 42 m x n + m x p = 4 x 2 + 4 x 7 = 8 + 28 = 36 m x p + n x p = 4 x 7 + 2 x 7 = 28 + 14 = 42 Trong câu a, ta có:

m x (n + p) = (m x n) + p          S                                     

m x (n + p) = m x n + m x p     Đ                                

(m + n) x p = m + n x p            S

(m + n) x p = m x p + n x p      Đ

Câu 3

Có 5 túi cam và 4 túi xoài, mỗi túi đều có 12 quả. Hỏi cả cam và xoài có bao nhiêu quả?

Phương pháp giải:

Cách 1: Tìm số túi cam và túi xoài

              🃏Tìm số quả cam và xoài = số quả có trong mỗi túi x số túi

Cách 2:

 Số quả cam = số quả cam có trong mỗi túi x số túi cam Số quả xoài = số quả xoài có trong mỗi túi x số túi xoài Số quả cam và xoài = số quả cam + số quả xoài

Lời giải chi tiết:

Tóm tắt Có 5 túi cam và 4 túi xoài Mỗi túi: 12 quả Tất cả: ? quả Bài giải Tìm số túi cam và túi xoài là: 5 + 4 = 9 (túi) Số quả cam và xoài có tất cả là: 12 x 9 = 108 (quả) Đáp số: 108 quả

Cách 2
Số quả cam là: 12 x 5 = 60 (quả cam) Số quả xoài là: 12 x 4 = 48 (quả xoài) Cả cảm và xoài có số quả là: 60 + 48 = 108 (quả) Đáp số: 108 quả

Câu 4

Viết số thích hợp vào chỗ chấm. Với a = 50, b = 30, c = 20, giá trị của biểu thức 36 x (a + b +c) là: …………………

Phương pháp giải:

Thay chữ bằng số vào biểu thức rồi tính giá trị biểu thức đó.

Lời giải chi tiết:

Với a = 50, b = 30, c = 20 thì 36 x (a + b + c) = 36 x (50 + 30 + 20) = 36 x 100 = 3 600

Vậy số cần điền vào chỗ chấm là 3 600

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