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.
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
.
7
5
4)
3
.
0
0
−
2
8
2
0
−
2
0
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
.
0
4
6)
4
2
.
2
4
−
4
2
2
−
0
2
4
−
2
4
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
.
5
8
10)
5
.
8
0
−
5
0
8
0
−
8
0
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.
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.
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.
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.