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Unit 15 · Bahagi Perpuluhan
Unit 15

Bahagi Perpuluhan

2.4 kg beras dibahagi sama banyak ke dalam 4 bekas.
Berapakah jisim beras dalam setiap bekas?

Bahagi Perpuluhan
小数除法 = bahagi perpuluhan 把一个小数平均分成几份,用除法。小数除以整数和整数除法一样用长除法,只是商的小数点要和被除数的小数点对齐;除不尽时在后面补零继续除。这个单元也学除以 10、100、1 000 的快速方法。 例子:6.3 ÷ 3 = 2.1。 注意:商的小数点要先点好。
dividing decimals = bahagi perpuluhan Sharing a decimal equally uses division. Divide as in whole-number long division, but line up the decimal point in the answer with the one in the number being divided; if there is a remainder, add zeros and keep dividing. We also learn the quick way to divide by 10, 100 and 1 000. Example: 6.3 ÷ 3 = 2.1. Watch out: put the decimal point in the answer first.
Titik perpuluhan selajur

Letak titik dalam hasil bahagi dahulu

2.4 ÷ 4

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÷ 4Letak titik dahulu: 0 . ?24 persepuluh ÷ 4 = 6 persepuluh0 . 6Letak titik dalam hasil bahagi dahulu2.4 ÷ 4 = 0.6
小数点对齐 = titik perpuluhan selajur 二不够除以四,商的个位写零,接着在商里点上小数点,和被除数的小数点对齐。把二和四合起来看成二十四个零点一,二十四除以四得六,所以是零点六公斤。 例子:3.5 ÷ 5 = 0.7。 注意:个位不够除时,商的个位写 0。
line up the points = titik perpuluhan selajur 2 cannot be divided by 4, so write 0 in the ones of the answer, then put the decimal point in line with the one below. Together 2.4 is 24 tenths, and 24 ÷ 4 = 6, so the answer is 0.6 kg. Example: 3.5 ÷ 5 = 0.7. Watch out: when the ones are too small, write 0 in the ones of the answer.
Ada baki

Tulis sifar dan terus membahagi

3 ÷ 4

0.75
4)3.00
−28
20
−20
0
3 ÷ 4 = 0.75
补 0 继续除 = tulis sifar dan terus bahagi 整数三除以四不够,就写成三点零零,在后面补零。三十个零点一除以四得七,余二;把下一个零移下来成二十,二十除以四得五,没有余数了。答案零点七五。 例子:1 ÷ 8 = 0.125。 注意:补的零写在小数点后面,数值不变。
write zeros and keep dividing = tulis sifar dan terus bahagi 3 ÷ 4 is too small, so write 3 as 3.00 with zeros after the point. 30 tenths ÷ 4 = 7 remainder 2; bring down the next zero to make 20, and 20 ÷ 4 = 5 with no remainder. The answer is 0.75. Example: 1 ÷ 8 = 0.125. Watch out: the zeros go after the decimal point and do not change the value.
Sifar dalam hasil bahagi

Tidak cukup → tulis 0

42.24 ÷ 6

7.04
6)42.24
−42
2
−0
24
−24
0
42.24 ÷ 6 = 7.04
商中间的 0 = sifar dalam hasil bahagi 四十二除以六得七;小数点对齐后,移下二,二比六小,不够除,商的十分位要写零;再移下四成二十四,二十四除以六得四。答案 7.04。如果漏写零,就会变成 7.4,差很多。 例子:18.06 ÷ 3 = 6.02。 注意:每移下一位,商就要写一位数字。
a zero in the answer = sifar dalam hasil bahagi 42 ÷ 6 = 7; with the point lined up, bring down 2, which is smaller than 6, so write 0 in the tenths of the answer; bring down 4 to make 24, and 24 ÷ 6 = 4. The answer is 7.04. Without the zero it would be 7.4, which is very different. Example: 18.06 ÷ 3 = 6.02. Watch out: every digit you bring down gives one digit in the answer.
Bahagi dengan 10

Titik perpuluhan bergerak satu tempat ke kiri

5.8 ÷ 10

Bahagi panjang

0.58
10)5.80
−50
80
−80
0

Cara cepat

5.8 ÷ 10
= 0.58
titik ← 1 tempat
除以 10 = bahagi dengan 10 除以十以后,每个数字都变成原来的十分之一,往右移一位;看起来就像小数点往左移了一位。五点八变成零点五八,个位要补零。长除法也得到同样的答案。 例子:36.4 ÷ 10 = 3.64。 注意:小数点往左移,数才会变小。
divide by 10 = bahagi dengan 10 Dividing by 10 makes every digit one tenth as big, moving it one place to the right; it looks as if the decimal point moves one place to the left. 5.8 becomes 0.58, with a 0 in the ones. Long division gives the same answer. Example: 36.4 ÷ 10 = 3.64. Watch out: moving the point to the left makes the number smaller.
Pola

÷ 10 · ÷ 100 · ÷ 1 000

3 615

3 615 ÷ 10 = 361.5
3 615 ÷ 100 = 36.15
3 615 ÷ 1 000 = 3.615
除以 10、100、1 000 的模式 = pola 除数有几个零,小数点就往左移几位。整数三千六百一十五的小数点在个位后面,除以十移一位,除以一百移两位,除以一千移三位,得三点六一五。 例子:48 ÷ 100 = 0.48。 注意:位数不够时,在前面补零,例如 5 ÷ 100 = 0.05。
the pattern for 10, 100 and 1 000 = pola Move the decimal point left by as many places as there are zeros. The whole number 3 615 has its point after the ones; ÷ 10 moves it one place, ÷ 100 two places and ÷ 1 000 three places, giving 3.615. Example: 48 ÷ 100 = 0.48. Watch out: when there are not enough digits, add zeros at the front, as in 5 ÷ 100 = 0.05.
Semak cepat

9.6 ÷ 8 = ?

小数除法 = bahagi perpuluhan 用长除法,和整数一样从左边除起。除到小数点时,先在商里对着被除数的小数点点上小数点,再移下十分位继续除。最后用“商 × 除数”检查是不是等于被除数。 例子:7.5 ÷ 5 → 7 ÷ 5 = 1 余 2,点小数点,25 ÷ 5 = 5 → 1.5。 注意:商的小数点一定要和被除数的小数点上下对齐。
decimal division = bahagi perpuluhan Use long division from the left, just as with whole numbers. When you reach the decimal point, put the point in the quotient directly above it, then bring down the tenths and carry on. Check by multiplying the quotient by the divisor. Example: 7.5 ÷ 5: 7 ÷ 5 = 1 remainder 2, put in the point, 25 ÷ 5 = 5, giving 1.5. Watch out: the point in the quotient must line up with the point in the number being divided.
Bahagi cepat

72.9 ÷ 100 = ?

除以一百 = bahagi seratus 除以 10、100、1 000,数字不变,小数点往左移:除以 10 移一位,除以 100 移两位,除以 1 000 移三位。移到最左边还不够时,在前面补 0,个位也要写 0。 例子:36.4 ÷ 100 = 0.364;5.8 ÷ 100 = 0.058。 注意:除法让数变小,小数点往左移;往右移是乘法。
divide by one hundred = bahagi seratus When dividing by 10, 100 or 1 000 the digits stay the same and the point moves left: one place for 10, two for 100, three for 1 000. If you run out of digits, write zeros in front, including a 0 in the ones. Example: 36.4 ÷ 100 = 0.364; 5.8 ÷ 100 = 0.058. Watch out: dividing makes a number smaller, so the point moves left; moving it right is multiplying.
Ringkasan

Syabas!

÷

Letak titik perpuluhan selajur, tulis sifar dan terus membahagi. ÷ 10, 100, 1 000: titik ke kiri.

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