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Unit 17 · Akal Pintar
Unit 17

Akal Pintar

Dani berkata 35 dan 1220 mewakili peratus yang sama.
Adakah Dani betul?

Akal Pintar
同一个百分比 = peratus yang sama 两个分数的分子和分母都不一样,但它们可能表示同样大小的部分。要判断是否一样,最好的方法是把两个分数都化成分母是一百的分数,再比较百分之几。 例子:1/2 和 5/10 都等于 50%。 注意:不能只看数字大小,12/20 的数字大,不代表它比较大。
the same percentage = peratus yang sama The two fractions have different numerators and denominators, but they might show the same amount. The best way to check is to change both into hundredths and compare the percentages. Example: 1/2 and 5/10 are both 50%. Watch out: bigger digits do not mean a bigger fraction; 12/20 is not bigger just because its digits are.
Cara

Tukar kedua-duanya kepada peratus

35 dan 1220

35

3 × 205 × 20 = 60100
= 60%

1220

12 × 520 × 5 = 60100
= 60%
化成百分比比较 = tukar kepada peratus dan banding 五乘二十等于一百,所以五分之三等于一百分之六十;二十乘五等于一百,所以二十分之十二也等于一百分之六十。两个都是百分之六十,两个百格图涂的格子一样多,所以丹尼说得对。 例子:2/4 = 50%,10/20 = 50%,一样。 注意:它们其实是等值分数,12/20 约分就是 3/5。
change to percent and compare = tukar kepada peratus dan banding 5 × 20 = 100, so 3/5 = 60/100; 20 × 5 = 100, so 12/20 = 60/100 too. Both are 60%, and both grids have the same number of shaded squares, so Dani is right. Example: 2/4 = 50% and 10/20 = 50%, the same. Watch out: they are equivalent fractions; 12/20 simplifies to 3/5.
Cuba

Pasangan manakah mewakili peratus yang sama?

检查每一对 = semak setiap pasangan 每一对里的两个分数都要各自化成百分比:分母乘几等于一百,分子也乘同一个数;或者直接乘以 100%。两个百分比完全一样,才是“同一个百分比”。 例子:1/4 = 25%,5/20 = 25%,一样;2/5 = 40%,9/25 = 36%,不一样。 注意:有的两个分数的百分比非常接近,只差一点点也不算相同,一定要算准。
check each pair = semak setiap pasangan Change each fraction in a pair into a percentage on its own: find what makes the denominator 100 and multiply the numerator too, or multiply by 100%. Only when the two percentages are exactly equal do they show the same percentage. Example: 1/4 = 25% and 5/20 = 25%, the same; 2/5 = 40% but 9/25 = 36%, different. Watch out: some pairs are very close; a tiny difference still means they are not the same.
Cari semua

Pilih semua pecahan yang sama dengan 30%.

找出所有等于 30% 的分数 = cari semua yang sama dengan 30% 先把 30% 写成最简分数:30/100 = 3/10。然后逐个检查方格里的分数:能约简的先约简,看约到最后是不是 3/10;不能约简的,就化成分母一百来比较。符合的全部选上,再按 Semak。 例子:9/30 约简得 3/10,等于 30%;22/40 约简得 11/20,是 55%。 注意:分数里有数字 3,不代表它等于 30%;分母不同时一定要约简或化成一百分之几再判断。
find every fraction equal to 30% = cari semua yang sama dengan 30% First write 30% in simplest form: 30/100 = 3/10. Then check each fraction in the grid: simplify it and see whether it becomes 3/10, or change it to hundredths to compare. Select every one that matches, then press Semak. Example: 9/30 simplifies to 3/10, which is 30%, but 22/40 simplifies to 11/20, which is 55%. Watch out: a 3 in the fraction does not make it 30%; always simplify or change to hundredths first.
Ringkasan

Syabas!

60% = 60%

Pecahan yang berbeza boleh mewakili peratus yang sama. Tukar kepada perseratus untuk menyemak.

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