Unit 6
Akal Pintar
Susun kad-kad ini untuk membentuk ayat matematik yang betul.
RM7 125RM2 460RM4 380RM5 205+−=
排卡片组算式 = susun kad
一共有四张金额卡、一个加号、一个减号和一个等号，要排成一道正确的算式，例如“甲加乙减丙等于丁”。这样的算式成立，意思就是甲加乙刚好等于丙加丁，所以要找出两对加起来一样多的金额。
例子：RM5、RM3、RM6、RM2 → 5 + 3 = 8，6 + 2 = 8 → RM5 + RM3 − RM6 = RM2。
注意：排好以后要算一次检查。
arrange the cards = susun kad
There are four money cards plus +, − and =. Arrange them into a true number sentence such as a + b − c = d. This works only when a + b equals c + d, so look for two pairs of amounts with the same sum.
Example: RM5, RM3, RM6, RM2: 5 + 3 = 8 and 6 + 2 = 8, so RM5 + RM3 − RM6 = RM2.
Watch out: check the sentence by working it out.
Cara
Cari dua pasangan yang jumlahnya sama
RM7 125 + RM2 460 = RM4 380 + RM5 205
RM7 125 + RM2 460 = RM9 585
RM4 380 + RM5 205 = RM9 585
RM4 380 + RM5 205 = RM9 585
RM7 125 + RM2 460 − RM4 380 = RM5 205
| RM | 9 | 5 | 8 | 5 | |
| − | RM | 4 | 3 | 8 | 0 |
| RM | 5 | 2 | 0 | 5 |
找和相同的两对 = cari dua pasangan
先试最大的七千一百二十五配最小的两千四百六十，和是九千五百八十五；剩下的四千三百八十加五千二百零五也是九千五百八十五，一样！所以把第一对放在加号两边，减去第二对中的一个，等于另一个：七千一百二十五加两千四百六十减四千三百八十等于五千二百零五。
例子：RM9 + RM1 − RM4 = RM6，因为 9 + 1 = 4 + 6。
注意：用竖式算一次，确认两边相等。
find two pairs with the same sum = cari dua pasangan
Try the biggest, RM7 125, with the smallest, RM2 460: the sum is RM9 585. The other two, RM4 380 + RM5 205, also make RM9 585. So RM7 125 + RM2 460 − RM4 380 = RM5 205.
Example: RM9 + RM1 − RM4 = RM6, because 9 + 1 = 4 + 6.
Watch out: work it out in columns to confirm both sides are equal.
Cuba
Kad baharu: RM5 340, RM1 875, RM2 690, RM4 525. Ayat matematik manakah betul?
检查每一句 = semak setiap ayat
三句算式用的是同样的四张卡，只是次序和符号的位置不同。每一句都要从左到右算：先算前面两个金额，再用结果和下一个金额计算，看看最后是否等于等号右边的金额。也可以用“两对和相同”的方法先想一想哪一句有可能对。
例子：卡片 RM8、RM2、RM6、RM4 → RM8 + RM2 − RM6 = RM4 对，因为 8 + 2 = 6 + 4；RM8 − RM2 + RM6 = RM4 不对。
注意：同样四张卡，次序不同，结果就不同，每一句都要真正算出来。
check each sentence = semak setiap ayat
All three sentences use the same four cards, only in a different order with the signs in different places. Work out each one from left to right: combine the first two amounts, then use the result with the third, and see whether it equals the amount after the equals sign. The two-pairs idea also helps you guess which one can be true.
Example: cards RM8, RM2, RM6 and RM4: RM8 + RM2 − RM6 = RM4 is true because 8 + 2 = 6 + 4, but RM8 − RM2 + RM6 = RM4 is false.
Watch out: the same cards in a different order give a different result, so really work out every sentence.
Ringkasan