Latihan
Latihan tambahan
13 soalan untuk mengukuhkan unit Tolak Wang. Jika salah, baca petunjuk dan cuba lagi.
RM 85.60 − RM 42.35 = ?
| 8 | 5 | . | 6 | 0 | |
| − | 4 | 2 | . | 3 | 5 |
| ? | ? | ? | ? | ? |
不用借位 = tidak perlu pinjam
60 sen 比 35 sen 大,够减,不用借。sen:60 − 35 = 25。ringgit:85 − 42 = 43。答案 RM 43.25。
例子:RM 27.80 − RM 15.30 → 80 − 30 = 50,27 − 15 = 12 → RM 12.50。
注意:sen 够减就直接减,不要随便借 1。
no borrowing needed = tidak perlu pinjam
60 sen is more than 35 sen, so there is enough and nothing to borrow. Sen: 60 − 35 = 25. Ringgit: 85 − 42 = 43. The answer is RM 43.25.
Example: RM 27.80 − RM 15.30 → 80 − 30 = 50 and 27 − 15 = 12 → RM 12.50.
Watch out: when the sen are enough, just subtract; do not borrow for no reason.
RM 91.20 − RM 57.85 = ?
| 9 | 1 | . | 2 | 0 | |
| − | 5 | 7 | . | 8 | 5 |
| ? | ? | ? | ? | ? |
借 1 ringgit = pinjam 1 ringgit
20 sen 不够减 85 sen,向 91 借 1:91 变 90,20 sen 变 120 sen。120 − 85 = 35。90 − 57 = 33。答案 RM 33.35。
例子:RM 53.10 − RM 26.45 → 110 − 45 = 65,52 − 26 = 26 → RM 26.65。
注意:RM 34.35 是借了 1 却忘记把 91 改成 90。
borrowing 1 ringgit = pinjam 1 ringgit
20 sen is less than 85 sen, so borrow 1 from 91: it becomes 90 and the 20 sen become 120 sen. 120 − 85 = 35. 90 − 57 = 33. The answer is RM 33.35.
Example: RM 53.10 − RM 26.45 → 110 − 45 = 65 and 52 − 26 = 26 → RM 26.65.
Watch out: RM 34.35 comes from borrowing but forgetting to change 91 to 90.
RM 4 000 − RM 1 832.60 = ?
| 4 | 0 | 0 | 0 | . | 0 | 0 | |
| − | 1 | 8 | 3 | 2 | . | 6 | 0 |
| ? | ? | ? | ? | ? | ? | ? |
整数减带 sen = nombor bulat tolak sen
把 RM 4 000 看成 RM 3 999 和 100 sen。sen:100 − 60 = 40。ringgit:3 999 − 1 832 = 2 167。答案 RM 2 167.40。
例子:RM 1 000 − RM 420.50 → 999 − 420 = 579,100 − 50 = 50 → RM 579.50。
注意:3 999 里每个 9 都是借位之后得到的,不要漏掉任何一位。
whole amount minus sen = nombor bulat tolak sen
Think of RM 4 000 as RM 3 999 and 100 sen. Sen: 100 − 60 = 40. Ringgit: 3 999 − 1 832 = 2 167. The answer is RM 2 167.40.
Example: RM 1 000 − RM 420.50 → 999 − 420 = 579 and 100 − 50 = 50 → RM 579.50.
Watch out: every 9 in 3 999 comes from borrowing, so do not skip any place.
RM 7 250 − RM 3 675 = ?
| 7 | 2 | 5 | 0 | |
| − | 3 | 6 | 7 | 5 |
| ? | ? | ? | ? |
整数减整数 = tolak nombor bulat
两个都是整数,像普通减法一样从个位减起。0 − 5 不够,向 5 借 1 → 10 − 5 = 5;4 − 7 不够,向 2 借 1 → 14 − 7 = 7;1 − 6 不够,向 7 借 1 → 11 − 6 = 5;6 − 3 = 3。答案 RM 3 575。
例子:RM 5 400 − RM 2 150 = RM 3 250。
注意:连续借位时,每一位借出去后都要少 1。
whole minus whole = tolak nombor bulat
Both amounts are whole ringgit, so subtract like ordinary numbers from the ones: 0 − 5 is not enough, borrow from 5 → 10 − 5 = 5; 4 − 7 is not enough, borrow from 2 → 14 − 7 = 7; 1 − 6 is not enough, borrow from 7 → 11 − 6 = 5; 6 − 3 = 3. The answer is RM 3 575.
Example: RM 5 400 − RM 2 150 = RM 3 250.
Watch out: with borrowing in several places, each place that lends must go down by 1.
RM 500 − RM 138.40 − RM 96.30 = ?
| 5 | 0 | 0 | . | 0 | 0 | |
| − | 1 | 3 | 8 | . | 4 | 0 |
| ? | ? | ? | ? | ? | ? |
连减两次 = tolak dua kali
第一步:500 看成 499 和 100 sen,100 − 40 = 60,499 − 138 = 361,得 RM 361.60。第二步:361.60 − 96.30,60 − 30 = 30,361 − 96 = 265,得 RM 265.30。
例子:RM 80 − RM 25.50 − RM 14.50 → 54.50 − 14.50 = RM 40。
注意:RM 361.60 只是第一步的结果,还要再减一次。
subtracting twice = tolak dua kali
Step one: see 500 as 499 and 100 sen, 100 − 40 = 60 and 499 − 138 = 361, giving RM 361.60. Step two: 361.60 − 96.30, 60 − 30 = 30 and 361 − 96 = 265, giving RM 265.30.
Example: RM 80 − RM 25.50 − RM 14.50 → 54.50 − 14.50 = RM 40.
Watch out: RM 361.60 is only the first step; one more subtraction is needed.
? − RM 18.25 = RM 52.75
原来的数 = nombor asal
减掉 RM 18.25 后剩 RM 52.75,原来的数是 52.75 + 18.25。sen:75 + 25 = 100,写 00 进 1。ringgit:1 + 52 + 18 = 71。方框是 RM 71。检查:71 − 18.25 = 52.75。
例子:□ − RM 3.60 = RM 6.40 → 6.40 + 3.60 = RM 10。
注意:RM 34.50 是两数相减,方向错了。
the starting amount = nombor asal
After taking away RM 18.25 there is RM 52.75 left, so the starting amount is 52.75 + 18.25. Sen: 75 + 25 = 100, write 00 and carry 1. Ringgit: 1 + 52 + 18 = 71. The box is RM 71. Check: 71 − 18.25 = 52.75.
Example: □ − RM 3.60 = RM 6.40 → 6.40 + 3.60 = RM 10.
Watch out: RM 34.50 is the two numbers subtracted, which goes the wrong way.
? − RM 154.40 = RM 245.60
加回去找原数 = tambah semula
原来的数 = 245.60 + 154.40。sen:60 + 40 = 100,写 00 进 1。ringgit:1 + 245 + 154 = 400。方框是 RM 400。检查:400 − 154.40 = 245.60。
例子:□ − RM 75 = RM 125 → 125 + 75 = RM 200。
注意:sen 刚好凑成 100 时,答案是整数,写 RM 400。
adding back to find the start = tambah semula
The starting amount is 245.60 + 154.40. Sen: 60 + 40 = 100, write 00 and carry 1. Ringgit: 1 + 245 + 154 = 400. The box is RM 400. Check: 400 − 154.40 = 245.60.
Example: □ − RM 75 = RM 125 → 125 + 75 = RM 200.
Watch out: when the sen make exactly 100, the answer is a whole amount, written RM 400.
Abakus menunjukkan wang Ali. Dia membelanjakan RM 1 280. Berapakah baki wang Ali?
ribu
ratus
puluh
sa
读算盘 = baca abakus
算盘上:ribu 有 4,ratus 有 5(上珠一颗 = 5),puluh 和 sa 是 0,所以 Ali 有 RM 4 500。4 500 − 1 280:0 − 0 = 0;0 − 8 不够,借 1 → 10 − 8 = 2;4 − 2 = 2;4 − 1 = 3。余额 RM 3 220。
例子:算盘显示 2 300,花了 RM 800 → RM 1 500。
注意:靠近横梁的珠子才算数,上珠一颗代表 5。
reading the abacus = baca abakus
On the abacus, the thousands show 4, the hundreds show 5 (one upper bead = 5), and the tens and ones are 0, so Ali has RM 4 500. 4 500 − 1 280: 0 − 0 = 0; 0 − 8 is not enough, borrow 1 → 10 − 8 = 2; 4 − 2 = 2; 4 − 1 = 3. The balance is RM 3 220.
Example: the abacus shows 2 300 and RM 800 is spent → RM 1 500.
Watch out: only beads pushed to the beam count, and one upper bead stands for 5.
Abakus menunjukkan wang dalam tabung. RM 2 345 dikeluarkan. Berapakah baki dalam tabung?
ribu
ratus
puluh
sa
整千减 = tolak daripada ribu bulat
算盘上只有 ribu 有 6(上珠 5 加下珠 1),其他是 0,所以有 RM 6 000。6 000 − 2 345:把 6 000 看成 5 999 + 1,5 999 − 2 345 = 3 654,再加 1 得 3 655。余额 RM 3 655。
例子:RM 3 000 − RM 1 250 → 2 999 − 1 250 = 1 749,加 1 → RM 1 750。
注意:从整千减,个位、十位、百位都要借,容易漏。
subtracting from a round thousand = tolak daripada ribu bulat
On the abacus only the thousands rod shows 6 (an upper bead for 5 plus one lower bead), the rest are 0, so there is RM 6 000. 6 000 − 2 345: see 6 000 as 5 999 + 1, then 5 999 − 2 345 = 3 654, and adding the 1 gives 3 655. The balance is RM 3 655.
Example: RM 3 000 − RM 1 250 → 2 999 − 1 250 = 1 749, plus 1 → RM 1 750.
Watch out: subtracting from a round thousand needs borrowing in the ones, tens and hundreds, so it is easy to miss one.
Farah ada RM 100. Dia membeli sebuah bekas makanan berharga RM 63.45. Berapakah baki wangnya?
找零 = baki wang
余额 = 有的钱 − 价钱。RM 100 看成 RM 99 和 100 sen。sen:100 − 45 = 55。ringgit:99 − 63 = 36。余额 RM 36.55。
例子:有 RM 50,买 RM 32.80 的东西 → 49 − 32 = 17,100 − 80 = 20 → RM 17.20。
注意:RM 37.55 是忘了 100 已经借出 1 ringgit。
change left = baki wang
Balance = money we have − price. See RM 100 as RM 99 and 100 sen. Sen: 100 − 45 = 55. Ringgit: 99 − 63 = 36. The balance is RM 36.55.
Example: with RM 50 and an item at RM 32.80 → 49 − 32 = 17 and 100 − 80 = 20 → RM 17.20.
Watch out: RM 37.55 forgets that 1 ringgit was lent out of the 100.
Ayah ada RM 250. Dia membayar RM 187.90 untuk sebuah kipas. Berapakah baki wang ayah?
买风扇后的余额 = baki selepas beli kipas
RM 250 看成 RM 249 和 100 sen。sen:100 − 90 = 10。ringgit:249 − 187 = 62。余额 RM 62.10。检查:62.10 + 187.90 = 250。
例子:有 RM 150,付了 RM 98.50 → 149 − 98 = 51,100 − 50 = 50 → RM 51.50。
注意:10 sen 要写成 .10,不是 .1。
balance after buying the fan = baki selepas beli kipas
See RM 250 as RM 249 and 100 sen. Sen: 100 − 90 = 10. Ringgit: 249 − 187 = 62. The balance is RM 62.10. Check: 62.10 + 187.90 = 250.
Example: with RM 150 and a payment of RM 98.50 → 149 − 98 = 51 and 100 − 50 = 50 → RM 51.50.
Watch out: 10 sen is written .10, not .1.
Puan Lim ada RM 1 000. Dia membeli sebuah mesin jahit berharga RM 649.50. Berapakah baki wangnya?
从 RM 1 000 减 = tolak daripada RM 1 000
RM 1 000 看成 RM 999 和 100 sen。sen:100 − 50 = 50。ringgit:999 − 649 = 350。余额 RM 350.50。检查:350.50 + 649.50 = 1 000。
例子:RM 1 000 − RM 720.25 → 999 − 720 = 279,100 − 25 = 75 → RM 279.75。
注意:RM 450.50 是百位减错了,999 − 649 是 350 不是 450。
subtracting from RM 1 000 = tolak daripada RM 1 000
See RM 1 000 as RM 999 and 100 sen. Sen: 100 − 50 = 50. Ringgit: 999 − 649 = 350. The balance is RM 350.50. Check: 350.50 + 649.50 = 1 000.
Example: RM 1 000 − RM 720.25 → 999 − 720 = 279 and 100 − 25 = 75 → RM 279.75.
Watch out: RM 450.50 has a mistake in the hundreds; 999 − 649 is 350, not 450.
Sebuah kelab ada RM 8 000. Kelab itu membeli alat sukan berharga RM 5 125. Berapakah baki wang kelab?
整千减整数 = ribu bulat tolak nombor bulat
8 000 看成 7 999 + 1。7 999 − 5 125 = 2 874,再加 1 得 2 875。余额 RM 2 875。检查:2 875 + 5 125 = 8 000。
例子:RM 5 000 − RM 2 450 → 4 999 − 2 450 = 2 549,加 1 → RM 2 550。
注意:RM 3 875 是千位算错了,8 − 5 要先借 1 给百位。
round thousand minus a whole amount = ribu bulat tolak nombor bulat
See 8 000 as 7 999 + 1. 7 999 − 5 125 = 2 874, and adding the 1 gives 2 875. The balance is RM 2 875. Check: 2 875 + 5 125 = 8 000.
Example: RM 5 000 − RM 2 450 → 4 999 − 2 450 = 2 549, plus 1 → RM 2 550.
Watch out: RM 3 875 has the thousands wrong; the 8 must lend 1 to the hundreds before subtracting 5.
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