🇨🇳 📚
Learn Multiplication Tables in Mandarin
🇺🇸 English
Grade 3 · Math
Multiplication is a fast way to add the same number over and over. Instead of writing 3 + 3 + 3 + 3, we simply write 4 × 3 = 12.
Think of multiplication as equal groups:
4 × 3 means "4 groups of 3 objects each" → 12 total objects
Tips for memorizing multiplication tables:
• ×2: always double the number (6 × 2 = 12)
• ×5: answer always ends in 0 or 5 (7 × 5 = 35)
• ×10: just add a zero (8 × 10 = 80)
• ×9 trick: fingers! Hold up 9 fingers. Fold down finger #6 for 9×6. Count left fingers (5) and right fingers (4) → answer is 54!
• The order doesn't matter: 3 × 7 = 7 × 3 = 21 (this is called the commutative property)
Key vocabulary:
• Factor: the numbers you multiply together (3 and 4 are both factors)
• Product: the answer to a multiplication problem (12)
• Array: objects arranged in rows and columns to show multiplication visually
Practice by building an array: draw 3 rows of 5 dots. Count them all — that's 3 × 5 = 15.
🇨🇳 中文
Grade 3 · Math
乘法是一种快速把同一个数字一遍一遍相加的方法。与其写 3 + 3 + 3 + 3，我们只需要写 **4 × 3 = 12**。
把乘法想象成 **相等的组**：
4 × 3 的意思是"4 组，每组有 3 个东西" → 一共 12 个东西
**记乘法口诀表的小技巧：**
• ×2：把这个数字加倍（6 × 2 = 12）
• ×5：答案的最后一位数总是 0 或 5（7 × 5 = 35）
• ×10：只需要在数字后面加一个零（8 × 10 = 80）
• ×9 的小窍门：用手指！伸出 9 根手指。算 9×6 时，把第 6 根手指弯下去。数左边的手指（5 根）和右边的手指（4 根）→ 答案就是 54！
• 两个数字交换顺序，结果不变：3 × 7 = 7 × 3 = 21（这叫做 **交换律**）
**重要词汇：**
• 因数：相乘的那些数字（3 和 4 都是因数）
• 积：乘法算式的答案（12）
• 阵列：把东西按照行和列排列起来，帮助我们用眼睛看出乘法的意思
练习方法——画一个阵列：画 3 行，每行 5 个点。把所有的点数一数——那就是 3 × 5 = 15。
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