Darab Perpuluhan

一位小数乘整数 = satu tempat perpuluhan 先当作整数：二十三乘四得九十二。二点三有一位小数，所以答案也要有一位小数，从右边数一位点上小数点，得九点二升。可以用估计检查：二乘四是八，答案接近八，合理。 例子：3 × 1.2 = 3.6。 注意：小数点在积里要和被乘数的位数一样。

one decimal place = satu tempat perpuluhan Treat it as whole numbers first: 23 × 4 = 92. 2.3 has one decimal place, so the answer also has one: count one place from the right to get 9.2 litres. Estimate: 2 × 4 = 8, and 9.2 is close, so it is reasonable. Example: 3 × 1.2 = 3.6. Watch out: the product keeps the same number of decimal places.

两位小数乘整数 = dua tempat perpuluhan 从百分位乘起：五乘三得十五，写五进一；十分位六乘三得十八，加进来的一得十九，写九进一；个位四乘三得十二，加一得十三。四点六五有两位小数，所以答案 13.95 也有两位小数。 例子：2 × 3.14 = 6.28。 注意：进位的方法和整数乘法一样。

two decimal places = dua tempat perpuluhan Start at the hundredths: 5 × 3 = 15, write 5 carry 1; tenths 6 × 3 = 18, plus 1 is 19, write 9 carry 1; ones 4 × 3 = 12, plus 1 is 13. 4.65 has two decimal places, so 13.95 has two as well. Example: 2 × 3.14 = 6.28. Watch out: carrying works the same as in whole-number multiplication.

格子乘法 = kaedah kekisi 先把小数点拿掉，用格子法算 12063 × 5：每格写两个数字相乘的积，沿斜线相加，得 60315。原来的数有三位小数，所以从右边数三位点上小数点，答案 60.315。 例子：4 × 2.105 → 2105 × 4 = 8420 → 8.420 = 8.42。 注意：小数点最后才点，位数不能数错。

the lattice method = kaedah kekisi Ignore the point and use the lattice for 12063 × 5: write each product in its box and add along the diagonals to get 60315. The decimal number has three decimal places, so count three places from the right: 60.315. Example: 4 × 2.105: 2105 × 4 = 8420, so 8.420 = 8.42. Watch out: put the point in last, and count the places carefully.

乘 10 = darab dengan 10 乘十以后，每个数字都变成原来的十倍，也就是往左移一位；看起来就像小数点往右移了一位。三点四六变成三十四点六。末尾的零可以不写，34.60 = 34.6。 例子：10 × 0.58 = 5.8。 注意：小数点往右移，数才会变大。

multiply by 10 = darab dengan 10 Times 10 makes every digit ten times bigger, moving it one place to the left; it looks as if the decimal point moves one place to the right. 3.46 becomes 34.6. A zero at the end can be left out: 34.60 = 34.6. Example: 10 × 0.58 = 5.8. Watch out: moving the point to the right makes the number bigger.

乘 10、100、1 000 的模式 = pola 乘数有几个零，小数点就往右移几位：乘十移一位，乘一百移两位，乘一千移三位。零点八二七乘一千，小数点移三位，刚好变成整数八百二十七。 例子：100 × 1.5 = 150（移两位时不够位，要补零）。 注意：位数不够时要在后面补零。

the pattern for 10, 100 and 1 000 = pola Move the decimal point right by as many places as there are zeros: one for × 10, two for × 100, three for × 1 000. 0.827 × 1 000 moves the point three places, giving the whole number 827. Example: 100 × 1.5 = 150 (add a zero when there are not enough digits). Watch out: when there are not enough digits, fill with zeros.

点小数点 = letak titik perpuluhan 先不看小数点，当作整数相乘；再数一数原来的小数有几位小数，就从积的最右边往左数几位，点上小数点；末尾的 0 可以去掉。最后用估算检查：把小数凑成接近的整数或半数，看答案大小合不合理。 例子：4 × 2.35 → 235 × 4 = 940 → 两位小数 → 9.40 = 9.4；估算 4 × 2.5 约 10。 注意：乘完一定要点回小数点，不然答案会大一百倍。

place the decimal point = letak titik perpuluhan Ignore the point and multiply as whole numbers. Count the decimal places in the decimal, then count that many places from the right of the product and put in the point; zeros at the end can be dropped. Check with an estimate. Example: 4 × 2.35: 235 × 4 = 940, two decimal places gives 9.40 = 9.4; estimate 4 × 2.5, about 10. Watch out: always put the point back, or the product comes out a hundred times too big.

乘一百 = darab seratus 乘 10、100、1 000 时，数字不变，小数点往右移：乘 10 移一位，乘 100 移两位，乘 1 000 移三位（看 1 后面有几个 0）。移完如果小数点后面没有数字，就是整数。 例子：100 × 0.58 = 58；100 × 2.3 = 230。 注意：只在小数的末尾加 0 不会改变数值；移的位数要和 0 的个数一样。

times one hundred = darab seratus When multiplying by 10, 100 or 1 000 the digits stay the same and the point moves right: one place for 10, two for 100, three for 1 000 (count the zeros). If no digits are left after the point, the result is a whole number. Example: 100 × 0.58 = 58; 100 × 2.3 = 230. Watch out: writing zeros at the end of a decimal does not change it; move the point as many places as there are zeros.