Unit 29
Akal Pintar
Gunakan semua kad digit untuk membentuk nombor lima digit.
□□□□□ ÷ 100 = ? baki 42
Hasil bahagi mesti paling besar.

数字卡除法题 = teka-teki kad digit dan bahagi
用 8、1、5、4、2 五张卡排成一个五位数,这个数除以 100 要余 42,而且商要尽量大。先想:除以 100 时,余数就是最后两位数字;商就是前面三位数字。
例子:36 718 ÷ 100 = 367 余 18,余数 18 就是最后两位。
注意:每张卡只能用一次。
digit card division puzzle = teka-teki kad digit dan bahagi
Use the cards 8, 1, 5, 4 and 2 to make a five-digit number that leaves a remainder of 42 when divided by 100, with the biggest possible quotient. Remember: when dividing by 100, the last two digits are the remainder and the first three digits are the quotient.
Example: 36 718 ÷ 100 = 367 remainder 18; the remainder is the last two digits.
Watch out: each card is used only once.
Langkah 1
Baki 42 → dua digit terakhir
□□□42
?
?
?
4
2
余数决定最后两位 = baki menentukan dua digit terakhir
除以 100 时,最后两位数字就是余数。要余 42,所以十位放 4、个位放 2。这两张卡用掉以后,剩下 8、1、5。
例子:要余 07,最后两位就要是 0 和 7。
注意:顺序不能反,放成 24 余数就变 24 了。
the remainder fixes the last two digits = baki menentukan dua digit terakhir
When dividing by 100, the last two digits are the remainder. For a remainder of 42, put 4 in the tens and 2 in the ones. That uses two cards and leaves 8, 1 and 5.
Example: for a remainder of 07, the last two digits must be 0 and 7.
Watch out: keep the order; 24 would give a remainder of 24.
Langkah 2
Susun digit lain dari besar ke kecil
85 142 ÷ 100 = 851 baki 42
8
5
1
4
2
85 142 ÷ 100 = 851 baki 42
商最大 = hasil bahagi paling besar
商就是前三位数字。要让商最大,就把剩下的 8、5、1 从大到小排:851。所以被除数是 85 142,85 142 ÷ 100 = 851 余 42。
例子:剩下 3、9、6,最大的排法是 963。
注意:如果题目要“商最小”,就要从小到大排。
the biggest quotient = hasil bahagi paling besar
The quotient is the first three digits. To make it as big as possible, arrange the remaining 8, 5 and 1 from largest to smallest: 851. So the number is 85 142, and 85 142 ÷ 100 = 851 remainder 42.
Example: with 3, 9 and 6 left, the largest arrangement is 963.
Watch out: if the puzzle asked for the smallest quotient, arrange them from smallest to largest.
Cuba
Kad: 8, 0, 5, 1, 4. □□□□□ ÷ 100 = ? baki 14, hasil bahagi paling besar. Nombor itu ialah …
同样的方法 = cara yang sama
第一步看余数:除以 100 时,余数就是最后两位,所以余数决定了十位和个位要放哪两张卡。第二步,剩下的三张卡组成商;题目要商最大,就把它们从大到小排。最后把整个五位数除以 100 检查。
例子:卡片 3、7、1、6、5,余 16、商最大 → 最后两位是 1、6,剩下 3、7、5 排成 753,得 75 316。
注意:每张卡只能用一次;0 不能放在五位数的最前面。
the same method = cara yang sama
Step 1 looks at the remainder: when dividing by 100 the remainder is the last two digits, so it decides which two cards go in the tens and ones. Step 2: the other three cards make the quotient; for the biggest quotient, arrange them from largest to smallest. Finally divide the five-digit number by 100 to check.
Example: cards 3, 7, 1, 6, 5 with remainder 16 and the biggest quotient: the last two digits are 1 and 6, the rest make 753, giving 75 316.
Watch out: each card is used only once, and 0 cannot be the first digit of the five-digit number.
Ringkasan
Syabas!
851 baki 42
Baki menentukan dua digit terakhir. Susun digit lain untuk hasil bahagi paling besar.
Latihan tambahan →