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Giải Bài 2.53 trang 43 sách bài tập Toán 6 Kết nối tri thức với cuộc sống

Máy tính xách tay (laptop) ra đời năm nào? Laptop ra đời năm abcd, biết abcd là số nhỏ nhất có bốn chữ số chia hết cho 25 và 79. Em hãy cho biết máy tính xách tay ra đời năm nào.

ဣTổng hợp đề thi học kì 2 lớp 6 tất cả các môn - Kết nối tri thức

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Đề bài

Máy tính xách tay (laptop) ra đời năm nào?

🌸Laptop ra đời năm \(\overline {abcd} \), biết \(\overline {abcd} \) là số nhỏ nhất có bốn chữ số chia hết cho 25 và 79. Em hãy cho biết máy tính xách tay ra đời năm nào.

Phương pháp giải - Xem chi tiết

+Vì số cần tìm là số nhỏ nhất có bốn chữ số chia hết cho 25 và 79 nên số cần tìm là bội chung nhỏ nhất có 4 chữ số của 25 và 79 +Tìm BCNN: - Phân tích mỗi số ra thừa số nguyên tố, - Chọn ra các thừa số nguyên tố chung và riêng; - Lập tích các thừa số đã chọn, mỗi thừa số lấy với số mũ lớn nhất. Tích đó là BCNN cần tìm

Lời giải chi tiết

♋Vì số cần tìm là số nhỏ nhất có bốn chữ số chia hết cho 25 và 79 nên số cần tìm là bội chung nhỏ nhất có 4 chữ số của 25 và 79

Ta có: 25 = 52;               79 = 79

✤+) Không có thừa số nguyên tố chung và thừa số riêng là 5; 79.

🍸+) Số mũ lớn nhất của 5 là 2, số mũ lớn nhất của 79 là 1

Khi đó BCNN(25, 79) = 52.79 = 1 975.

Vậy máy tính xách tay ra đời năm 1 975.

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