Latihan
Latihan tambahan
8 soalan untuk mengukuhkan unit Selesaikan Masalah. Jika salah, baca petunjuk dan cuba lagi.
Lim membaca 12 buku cerita pada hari Sabtu dan 18 buku itu pada hari Ahad. Berapa bahagian buku yang sudah dibaca semuanya?
两天合起来 = tambah bahagian
星期六和星期日读的部分合起来,用加法。先把二分之一换成八分之几,再把分子相加,分母保持八不变。可以画一条分成 8 格的长条来帮忙。
例子:1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2。
注意:分母相加会得到十分之几,是错的。
tambah bahagian = adding parts
The Saturday part and the Sunday part together means we add. Change one half into eighths, then add the numerators and keep the denominator 8. Drawing a bar cut into 8 equal parts helps.
Example: 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.
Watch out: adding the denominators gives tenths, which is wrong.
Buku cerita berjisim 0.62 kg. Buku latihan berjisim 0.28 kg. Berapakah beza jisim kedua-dua buku itu?
求两本书的差 = beza jisim buku
求差用减法,把比较重的写在上面。百分位二减八不够,向十分位借一,变成十二再减;十分位借出后要少一。
例子:0.81 − 0.45 = 0.36。
注意:求差不是把两个重量加起来。
beza jisim buku = difference in mass of the books
A difference means subtract, with the heavier mass on top. In the hundredths, 2 take away 8 cannot be done, so regroup 1 tenth to make 12 first. Remember the tenths digit is now one less.
Example: 0.81 − 0.45 = 0.36.
Watch out: in each place, do not simply take the smaller digit from the bigger one; regroup when the top digit is smaller.
8% daripada halaman sebuah buku mempunyai gambar. Nyatakan 8% dalam perpuluhan.
个位数的百分比 = peratus satu digit
百分之八是一百分之八,也就是八个百分之一。百分之一要写在小数点后第二位,十分位是空的,要补上零。
例子:5% = 5/100 = 0.05。
注意:0.8 是 80%,十分位和百分位不能弄错。
peratus satu digit = a one-digit percent
8% is 8/100, eight hundredths. Hundredths sit in the second place after the decimal point, and the empty tenths place needs a zero.
Example: 5% = 5/100 = 0.05.
Watch out: 0.8 is 80%; do not mix up the tenths and the hundredths places.
Ada 100 buah buku di rak. 34 buah ialah buku cerita. Yang lain ialah buku sains. Nyatakan peratus buku sains.
先求另一部分 = cari bahagian lain dahulu
题目问科学书,先从总数 100 里减去故事书,算出科学书有几本,再写成分母是 100 的分数和百分比。可以列表格把故事书、科学书和总数写清楚。
例子:100 粒糖里 55 粒是红色,其余黄色 → 黄色占 45%。
注意:题目问的是科学书,不是故事书。
cari bahagian lain dahulu = find the other part first
The question asks about science books, so first take the storybooks away from the total of 100, then write the science books as a fraction out of 100 and as a percent. A table helps you list the storybooks, the science books and the total.
Example: 55 of 100 sweets are red and the rest yellow → yellow is 45%.
Watch out: the question asks about the science books, not the storybooks.
Sebotol sirap berisi 45 ℓ. Emak menggunakan 310 ℓ. Berapakah isi padu sirap yang tinggal?
剩下的糖浆 = sirap yang tinggal
用掉了要减。先把五分之四换成十分之几,再减去十分之三,最后约分。用加法检查:答案加上用掉的量要等于原来的五分之四。
例子:3/4 − 3/8 = 6/8 − 3/8 = 3/8。
注意:11/10 是把两个数加起来了。
sirap yang tinggal = the syrup left
Some syrup is used, so subtract. Change four fifths into tenths, take away three tenths, then simplify. Check by adding: your answer plus the syrup used must make four fifths.
Example: 3/4 − 3/8 = 6/8 − 3/8 = 3/8.
Watch out: 11/10 comes from adding the two amounts instead of subtracting.
Sebatang pensel panjangnya 0.15 m. Sebatang pembaris 0.18 m lebih panjang daripada pensel itu. Berapakah panjang pembaris?
进位加 = tambah dengan mengumpul semula
尺比铅笔长,所以把两个长度相加:百分位五加八超过十,写下个位数,再向十分位进一,十分位相加时别忘了这个一。可以画条形图,尺的那条比较长。
例子:0.27 + 0.36 = 0.63。
注意:进到十分位的 1 不能忘记加上。
tambah dengan mengumpul semula = adding with regrouping
The ruler is longer than the pencil, so add the lengths: hundredths 5 + 8 is more than 10, so write the ones digit and carry 1 to the tenths, then add the tenths with the carried 1. A bar model shows the ruler's bar as the longer one.
Example: 0.27 + 0.36 = 0.63.
Watch out: do not forget to add the carried 1 in the tenths place.
Ali mengira 0.9 − 0.37 = 0.53. Cara semakan manakah betul?
用加法检查减法 = semak tolak dengan tambah
加法和减法是相反的运算,所以减法可以用加法来检查。想一想:哪两个数加起来,应该刚好回到算式开头的那个数?
例子:检查 0.8 − 0.25 = 0.55 → 0.55 + 0.25 = 0.80,回到 0.8,答案对。
注意:用减法再算一次,不算是检查。
semak tolak dengan tambah = check subtraction by adding
Addition and subtraction undo each other, so a subtraction can be checked with an addition. Think about which two numbers should add up to give back the first number in the sentence.
Example: check 0.8 − 0.25 = 0.55 → 0.55 + 0.25 = 0.80.
Watch out: doing another subtraction is not a check.
Ada 100 keping tiket konsert. 47 keping telah dijual. Berapakah peratus tiket yang belum dijual?
还没卖出的部分 = bahagian yang belum dijual
已卖出的要从总数 100 里减掉,才是还没卖出的张数,再写成百分比。检查:卖出的百分比加没卖的百分比要等于 100%。
例子:100 个座位坐了 82 个 → 空位 18%。
注意:从 100 减的时候,退位要做两次,可以用加法检查。
bahagian yang belum dijual = the part not yet sold
Take the tickets sold away from the total of 100 to find those not sold, then write that as a percent. Check: the sold percent and the unsold percent must add up to 100%.
Example: 82 of 100 seats are taken → 18% are empty.
Watch out: subtracting from 100 needs regrouping twice, so check by adding.
Tahniah! Kamu telah menyelesaikan latihan.
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