Lesson 9 10 11 12
Authored by Gia Hứa
Mathematics
5th Grade
Used 5+ times
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1.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the last digit of 9 x 9 x ... x 9 x 9 (2021 numbers 9)
Tìm chữ số tận cùng của 9 x 9x ... x 9 x 9 (2021 số 9)
Answer explanation
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the last digit of 17 x 17 x ... x 17 x 17 (1234 numbers 17)
Tìm chữ số tận cùng của 7 x 7 x ... x 7 x 7 (1234 số 7)
Answer explanation
3.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the last digit of
4.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the unit digit of 8 x 18 x 28 x ... x 2008
Answer explanation
5.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the last digit of S = 7 × 7 ×…× 7 (2023 numbers 7).
Tìm chữ số tận cùng của S = 7 × 7 ×…× 7 (2023 số 7)
Answer explanation
6.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the unit digit of A if:
A = 4 × 4 × 4 ×…× 4 × 8 × 8 × 8 ×…× 8 (2021 numbers 4 and 2021 numbers 8).
Answer explanation
Ta có: A = 4 × 4 ×…× 4 × 8 × 8 ×…× 8 = (4 × 8) × (4 × 8) ×…× (4 × 8) = 32 × 32 ×…× 32
(có 2021 số 32).
Chữ số tận cùng của A giống với chữ số tận cùng của B, với B = 2 x 2 x ... x 2 (có 2021 số 2).
Quy luật về chữ số tận cùng: nhóm 4 chữ số (2, 4, 8, 6) lặp lại.
Ta cần tìm chữ số thứ 2021 trong dãy.
2021 : 4 = 505 (nhóm) và dư 1 (chữ số).
Do đó, chữ số thứ 2021 trong dãy là chữ số đầu tiên của nhóm thứ 506 và là 2.
Suy ra chữ số tận cùng của B là 2.
Vậy chữ số tận cùng của A là 2.
Đáp số: 2
7.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the unit digit of A given that
A = 1 × 2 × 3 ×…× 9997 × 9998 × 9999.
Answer explanation
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