Unit 4
Cabar Minda
Aina berkata: “1 jam ialah 60 saat.”
Badrul berkata: “Bukan, 1 jam ialah 100 saat.”
Siapakah yang betul? Berapa saat sebenarnya dalam 1 jam?

挑战题 = cabar minda;一小时有几秒 = berapa saat dalam 1 jam
两位同学在争论:Aina 说 1 小时是 60 秒,Badrul 说是 100 秒。其实两个人都错了。我们已经知道 1 小时 = 60 分钟、1 分钟 = 60 秒,只要把这两个关系接起来,就能推出 1 小时到底有多少秒。
例子:1 分钟就已经有 60 秒,1 小时有 60 个这样的 1 分钟。
注意:60 秒只是 1 分钟,不是 1 小时;时间也不是满 100 进一。
brain teaser = cabar minda; how many seconds in an hour = berapa saat dalam 1 jam
Two pupils disagree: Aina says an hour is 60 seconds and Badrul says it is 100 seconds. In fact both are wrong. We already know that 1 hour = 60 minutes and 1 minute = 60 seconds, so by linking these two facts we can work out how many seconds are really in an hour.
Example: a single minute already holds 60 seconds, and an hour holds 60 of those minutes.
Watch out: 60 seconds is only 1 minute, not 1 hour, and time does not regroup at 100.
Langkah 1
Jam → minit → saat
Dua kali darab 60
jam
× 60
→
→
minit
× 60
→
→
saat
1 jam = 60 minit · 10 minit = 10 × 60 = 600 saat
10 minit
600 saat
10 minit
600 saat
10 minit
600 saat
10 minit
600 saat
10 minit
600 saat
10 minit
600 saat
60 minit = 6 kumpulan 10 minit
连续换算 = tukar dua langkah;一组 = kumpulan
小时不能直接变成秒,要经过分钟:小时 × 60 变成分钟,分钟再 × 60 变成秒。1 小时 = 60 分钟,每分钟 60 秒,就是 60 个 60 秒。60 个 60 直接加太长,可以 10 分钟一组:10 分钟 = 10 × 60 = 600 秒,60 分钟刚好分成 6 组。
例子:20 分钟是 2 组,也就是 600 + 600 = 1 200 秒。
注意:两次都要乘 60,只乘一次就会停在分钟,得不到秒。
changing in two steps = tukar dua langkah; group = kumpulan
Hours cannot jump straight to seconds; we pass through minutes. Hours × 60 gives minutes, and minutes × 60 gives seconds. 1 hour = 60 minutes and each minute is 60 seconds, so an hour is sixty lots of 60 seconds. Adding sixty 60s one by one is long, so group them in tens of minutes: 10 minutes = 10 × 60 = 600 seconds, and 60 minutes splits into exactly 6 such groups.
Example: 20 minutes is 2 groups, so 600 + 600 = 1 200 seconds.
Watch out: you must multiply by 60 twice; stopping after one step leaves you in minutes, not seconds.
Langkah 2 · Cuba
1 jam = ? saat
1 小时的秒数 = saat dalam 1 jam
6 组,每组 600 秒:600 + 600 + 600 + 600 + 600 + 600 = 3 600,也就是 6 × 600 = 3 600。也可以写成 60 × 60:先算 6 × 6 = 36,后面补两个 0,得 3 600。所以 1 小时 = 3 600 秒,Aina 和 Badrul 都错了。
例子:半组(5 分钟)= 300 秒。
注意:360 是 60 × 6,只补了一个 0,少了一个 0。
seconds in one hour = saat dalam 1 jam
There are 6 groups of 600 seconds: 600 + 600 + 600 + 600 + 600 + 600 = 3 600, which is 6 × 600 = 3 600. You can also write it as 60 × 60: work out 6 × 6 = 36 and add two zeros to get 3 600. So 1 hour = 3 600 seconds, and both Aina and Badrul were wrong.
Example: half a group, 5 minutes, is 300 seconds.
Watch out: 360 is 60 × 6 with only one zero added; it is missing a zero.
Langkah 3
2 jam = ? saat
Guna 1 jam = 3 600 saat
cara 1
3 600 + 3 600
= 7 200 saat
= 7 200 saat
cara 2
2 jam = 120 minit
120 × 60 = 7 200 saat
120 × 60 = 7 200 saat
2 jam = 7 200 saat · dua cara, jawapan sama
两小时 = 2 jam;两种方法 = dua cara
知道 1 小时 = 3 600 秒以后,2 小时就是两个 3 600:3 600 + 3 600 = 7 200 秒。第二种方法是一步一步换:2 小时先变成 2 × 60 = 120 分钟,再变成 120 × 60 = 7 200 秒。两种方法答案一样,可以互相检查。
例子:3 小时 = 3 600 + 3 600 + 3 600 = 10 800 秒。
注意:算 120 × 60 时,可以先算 12 × 6 = 72,再补两个 0。
two hours = 2 jam; two ways = dua cara
Once we know 1 hour = 3 600 seconds, 2 hours is two lots of 3 600: 3 600 + 3 600 = 7 200 seconds. The second way changes one step at a time: 2 hours becomes 2 × 60 = 120 minutes, then 120 × 60 = 7 200 seconds. Both ways give the same answer, so each checks the other.
Example: 3 hours = 3 600 + 3 600 + 3 600 = 10 800 seconds.
Watch out: for 120 × 60, work out 12 × 6 = 72 and then add two zeros.
Cabar
Setengah jam = ? saat
半小时 = setengah jam
半小时是 30 分钟,30 分钟 = 30 × 60 = 1 800 秒。也可以把 1 小时的 3 600 秒分成两半:3 600 ÷ 2 = 1 800。还可以用 10 分钟一组:3 组 × 600 = 1 800。
例子:15 分钟 = 15 × 60 = 900 秒。
注意:30 秒是把 30 分钟错看成 30 秒;180 是 30 × 6,少了一个 0。
half an hour = setengah jam
Half an hour is 30 minutes, and 30 minutes = 30 × 60 = 1 800 seconds. You can also halve the 3 600 seconds of a full hour: 3 600 ÷ 2 = 1 800, or use 10-minute groups: 3 groups × 600 = 1 800.
Example: 15 minutes = 15 × 60 = 900 seconds.
Watch out: 30 seconds mistakes 30 minutes for 30 seconds, and 180 is 30 × 6, missing a zero.
Langkah 4 · Semak
Masa dan saatnya
检查推理 = semak penaakulan
全部用“10 分钟 = 600 秒”来推:10 分钟是 1 组,600 秒;半小时是 3 组,1 800 秒;1 小时是 6 组,3 600 秒;2 小时是 12 组,7 200 秒。组数越多,秒数越大,排一排就不会配错。
例子:20 分钟是 2 组,1 200 秒。
注意:1 800 和 3 600 很容易混,记住半小时只有 1 小时的一半。
checking the reasoning = semak penaakulan
Build everything from 10 minutes = 600 seconds: 10 minutes is 1 group, 600 seconds; half an hour is 3 groups, 1 800 seconds; 1 hour is 6 groups, 3 600 seconds; 2 hours is 12 groups, 7 200 seconds. More groups means more seconds, so lining them up prevents mismatches.
Example: 20 minutes is 2 groups, 1 200 seconds.
Watch out: 1 800 and 3 600 are easy to mix up; remember half an hour is only half of one hour.
Ringkasan
Syabas!
jam × 60 → minit × 60 → saat
1 jam = 60 minit = 3 600 saat. Darab 60 dua kali, atau kira 6 kumpulan 10 minit (600 saat). 2 jam = 7 200 saat, setengah jam = 1 800 saat.
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