How to calculate multiplication in tables
Multiplication is one of the most basic operations in mathematics, and using tables (multiplication tables) to learn and calculate multiplication is an intuitive and efficient way. This article will introduce in detail how to use tables for multiplication operations and provide structured data to help understanding.
1. Basic structure of multiplication table
A multiplication table is usually a two-dimensional table with rows and columns representing multipliers and cells at intersections displaying products. Here is the multiplication table from 1 to 10:
| × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |
| 3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |
| 7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |
| 8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |
| 9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |
| 10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
2. How to use the multiplication table
1.Find product: For example, calculate 7×8 and find the intersection of row label 7 and column label 8. The result is 56.
2.Verification results: If you are not sure whether a certain multiplication result is correct, you can quickly verify it through the table.
3.Summary of rules: Observing the table, you can find symmetry (such as 3×5=5×3) or multiple relationships (such as the last digit of multiples of 5 is 0 or 5).
3. Extended Application: Large Number Multiplication Table
For larger numbers (such as two-digit multiplication), it can be broken down into units and tens for calculation. Here are the breakdown steps for a 12×15:
| steps | Calculate | result |
|---|---|---|
| 1. Decompose | 10×15 | 150 |
| 2. Decompose | 2×15 | 30 |
| 3. Add up | 150+30 | 180 |
4. Frequently Asked Questions
Q: Can the multiplication table only be used for integers?
A: No. By adjusting the table scale, it can also be used for decimal or fractional multiplication, but the table range needs to be manually extended.
Q: How to quickly memorize multiplication tables?
A: It is recommended to memorize in segments (for example, memorize lines 1-5 first), combined with formulas (such as "Three Seven Twenty-One") and daily practice.
5. Summary
Multiplication tables are a core tool for learning multiplication and are suitable for all ages. Through structured tables and decomposition methods, calculations can be completed efficiently and mathematical thinking developed. It is recommended to save the table in this article and refer to it for practice at any time!
check the details
check the details
en
