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Unit 10 · Darab Ukuran Panjang
Unit 10

Darab Ukuran Panjang

Cikgu Lim memotong 8 jalur pita warna untuk papan kenyataan.
Setiap jalur panjangnya 12 cm 4 mm.
Berapakah jumlah panjang pita yang digunakan, dalam mm?

Darab Ukuran Panjang
长度乘法 = darab ukuran panjang 几段一样长的长度合起来,可以用乘法代替连加。方法一:先把长度化成小单位(毫米或米),再和普通整数一样乘。方法二:分栏乘,小单位和大单位分别乘以同一个数,小单位的积满十毫米进一厘米,满 1 000 m 进 1 km。最后按题目要求写单位。 例子:3 × 2 cm 5 mm = 3 × 25 mm = 75 mm。 注意:两个单位都要乘,不能只乘其中一个。
multiplying lengths = darab ukuran panjang When several equal lengths are put together, multiplication replaces repeated adding. Way 1: change the length into the small unit (millimetres or metres) and multiply like a whole number. Way 2: multiply each unit column by the same number, then regroup: 10 mm make 1 cm and 1 000 m make 1 km. Finish in the unit the question asks for. Example: 3 × 2 cm 5 mm = 3 × 25 mm = 75 mm. Watch out: both units must be multiplied, not just one.
Cara 1

Tukar kepada mm dahulu

8 × 12 cm 4 mm = ? mm

Tukar

12 cm 4 mm
= 120 mm + 4 mm
= 124 mm

Darab

13
124
×8
992
992 mm
先化成毫米再乘 = tukar kepada mm, kemudian darab 每条彩带十二厘米四毫米,先化成毫米:十二乘十是一百二十,加四等于一百二十四毫米。八条一样长,就用一百二十四乘八,个位四乘八得三十二,写二进三;十位二乘八得十六,加三是十九,写九进一;百位一乘八得八,加一是九。 例子:6 × 4 cm 3 mm = 6 × 43 mm = 258 mm。 注意:化毫米以后再乘,乘的是整个毫米数。
change to millimetres, then multiply = tukar kepada mm, kemudian darab Each strip is 12 cm 4 mm; in millimetres that is 12 × 10 = 120, plus 4, making 124 mm. There are 8 equal strips, so work out 124 × 8 in a column: 4 × 8 = 32, write 2 carry 3; 2 × 8 = 16, plus 3 is 19, write 9 carry 1; 1 × 8 = 8, plus 1 is 9. Example: 6 × 4 cm 3 mm = 6 × 43 mm = 258 mm. Watch out: after changing to millimetres, multiply the whole number of millimetres.
Cara 2

Darab mengikut lajur unit

8 × 12 cm 4 mm

Darab

cmmm
124
×8
9632
+3−30
992

Tukar kepada mm

99 cm = 990 mm
990 mm + 2 mm
= 992 mm
分栏相乘 = darab mengikut lajur 毫米栏:四乘八得三十二毫米;厘米栏:十二乘八得九十六厘米。三十二毫米里有三个十毫米,可以换成三厘米,毫米栏留下二,厘米栏九十六加三等于九十九。九十九厘米二毫米再化成毫米,和方法一的答案一样。 例子:4 × 5 cm 7 mm = 20 cm 28 mm = 22 cm 8 mm。 注意:毫米的积超过十时,可能要进好几个厘米,不一定只进一。
multiplying by unit columns = darab mengikut lajur Millimetres column: 4 × 8 = 32 mm; centimetres column: 12 × 8 = 96 cm. 32 mm hold three tens, so they become 3 cm and 2 mm stay; 96 + 3 = 99 cm. Changing 99 cm 2 mm into millimetres gives the same answer as Way 1. Example: 4 × 5 cm 7 mm = 20 cm 28 mm = 22 cm 8 mm. Watch out: when the millimetres product is large, several centimetres may carry, not just one.
km dan m

1 000 m = 1 km

6 × 3 km 275 m

Laluan joging: 3 km 275 m · 6 kali seminggu
kmm
3275
×6
181 650
+1−1 000
19650
= 19 km 650 m
千米米乘法 = darab km dan m 每次跑三千米二百七十五米,跑六次,就用乘法。米栏:二百七十五乘六等于一千六百五十米,满一千米,拿出 1 000 m 换成 1 km,米栏剩六百五十。千米栏:三乘六等于十八,加上换来的一,等于十九千米。 例子:3 × 4 km 500 m = 12 km 1 500 m = 13 km 500 m。 注意:米的积要满一千才进一千米。
multiplying km and m = darab km dan m Each run is 3 km 275 m and there are 6 runs, so multiply. Metres: 275 × 6 = 1 650 m, which passes 1 000, so 1 000 m become 1 km and 650 m stay. Kilometres: 3 × 6 = 18, plus the carried 1 makes 19 km. Example: 3 × 4 km 500 m = 12 km 1 500 m = 13 km 500 m. Watch out: the metres regroup only when they reach 1 000.
Ulang-alik

Pergi dan balik = × 2

Rumah → kedai → rumah

Rumah → kedai: 1 km 460 m
kmm
1460
×2
2920
2 km 920 m = 2 920 m
往返 = ulang-alik 往返就是去一次、回来一次,走了两趟同样的路,所以把单程距离乘二。米栏:四百六十乘二等于九百二十米,没有满一千,不用进位;千米栏:一乘二等于二。用米表示:2 km = 2 000 m,加九百二十米。 例子:往返 2 km 350 m 的路 → 2 × 2 km 350 m = 4 km 700 m = 4 700 m。 注意:只算单程会少掉一半路程。
a round trip = ulang-alik A round trip means going once and coming back once, the same road twice, so multiply the one-way distance by 2. Metres: 460 × 2 = 920 m, below 1 000, so no regrouping; kilometres: 1 × 2 = 2. In metres: 2 km is 2 000 m, plus 920 m. Example: a round trip on a 2 km 350 m road → 2 × 2 km 350 m = 4 km 700 m = 4 700 m. Watch out: counting only one way gives half the distance.
Semak cepat

7 × 5 cm 8 mm = ?

乘以一位数 = darab dengan nombor satu digit 分栏乘:毫米栏乘以这个数,得到的毫米如果满十,要看里面有几个十,就换成几厘米送到厘米栏,毫米栏留下个位;厘米栏乘以这个数,再加上送来的厘米。也可以先化成毫米再乘,最后换回厘米和毫米。 例子:6 × 3 cm 9 mm = 18 cm 54 mm = 23 cm 4 mm。 注意:毫米的积有几个十,就要进几厘米。
multiplying by a one-digit number = darab dengan nombor satu digit Multiply each unit column. If the millimetres product reaches 10 or more, count its tens, move that many centimetres into the centimetres column and keep the ones in the millimetres column. Multiply the centimetres and add the carried centimetres. You may also change to millimetres first, multiply, and change back. Example: 6 × 3 cm 9 mm = 18 cm 54 mm = 23 cm 4 mm. Watch out: carry as many centimetres as there are tens in the millimetres product.
Tulis dalam m

4 × 2 km 715 m = ? m

乘积化成米 = hasil darab dalam m 米栏乘以这个数,积满一千就进一千米;千米栏乘以这个数,加上进来的千米。最后把千米乘一千,加上米数,就是用米表示的答案。也可以一开始把距离化成米,再乘。 例子:3 × 1 km 640 m = 3 km 1 920 m = 4 km 920 m = 4 920 m。 注意:写成米时要看清每一位,零不能随便加或漏。
the product in metres = hasil darab dalam m Multiply the metres; if the product reaches 1 000, carry 1 km. Multiply the kilometres and add any carried kilometres. Then multiply the kilometres by 1 000 and add the metres to write the answer in metres. You could also change the distance into metres first and multiply. Example: 3 × 1 km 640 m = 3 km 1 920 m = 4 km 920 m = 4 920 m. Watch out: when writing in metres, check each place so that no zero is added or lost.
Ringkasan

Syabas!

× setiap unit, kemudian kumpul semula

Darab setiap unit dengan nombor yang sama. 10 mm = 1 cm dan 1 000 m = 1 km.

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