Bruce Dias 
Learning tables 17, 18, and 19 is often overlooked when it comes to multiplication. However, understanding and memorizing these tables can greatly benefit students’ math and problem-solving abilities. In this article, I’ll explore the table of 17, 18, and 19 and its importance in math education.
Tables 17, 18, and 19 may seem daunting at first glance, but with practice, they can become just as easy to remember as the more commonly taught tables. By memorizing these tables, students can quickly solve complex problems that involve larger numbers, saving time and reducing errors.
Additionally, understanding tables 17, 18, and 19 can help students build a stronger foundation in math. It fosters critical thinking skills and enhances problem-solving abilities, which can be applied in math and various aspects of their lives. In the next section, we’ll delve into the specifics of these tables and how students can learn them efficiently.
table of 17 18 19
In this section, I’ll share some useful tips on easily multiplying by 17 using tables 17, 18, and 19. Many people find multiplying by 17 rather tricky, but you can do it effortlessly with some practice.
To start, let’s take a look at the table of 17:
NumberProduct
1 17
2 34
3 51
4 68
5 85
6 102
7 119
8 136
9 153
As you can see, to multiply any number by 17, we simply need to find the product in the second column that corresponds to the number in the first column. For instance, to multiply 6 by 17, we look for the number 6 in the first column and find its corresponding product, 102, in the second column. Therefore, 6 multiplied by 17 is 102.
When multiplying larger numbers by 17, we must use a slightly different approach. For example, to find the product of 17 and 35, we can rewrite 35 as the sum of 30 and 5, so 35 equals 30 plus 5. We can then use the distributive property of multiplication to expand our product as follows:
17 x 35 = 17 x (30 + 5) = (17 x 30) + (17 x 5)
Using the table of 17, we know that 17 multiplied by 3 is 51. Therefore, 17 multiplied by 30 is (51 x 10) or 510. We can also use the table to find that 17 multiplied by 5 is 85. Therefore, 17 multiplied by 5 is equal to 85.
Putting it all together, we have:
17 x 35 = (17 x 30) + (17 x 5) = 510 + 85 = 595
In summary, multiplying by 17 may seem daunting at first, but it becomes much simpler with the help of the table of 17, 18, and 19. Using the table and breaking down larger numbers into smaller, simpler ones, we can quickly compute the product of any number with 17.
Multiplying by 18
The table of 17, 18, and 19 has always been an essential tool in mathematics. For example, knowing the multiplication table can significantly simplify mathematical operations and make them more manageable. In this section, I’ll focus on the table of 18 and cover some important patterns regarding multiplying by 18.
When we multiply by 18, the last two digits of the product will always be 00. This happens because 18 is a multiple of 10, so the last digit of the product will always be 0, and the digit before that will also be 0 because 18 is twice the digit we’re multiplying. For example, 8 times 18 yields 144, so the product is 14400, with the last two digits being 00.
Another interesting pattern is that when we add up the digits of the product of 18, the result is always divisible by 9. For instance, 9 times 18 is 162, and the sum of the digits 1, 6, and 2 is 9. The same applies to all multiples of 18. This is because by adding 1 to the tens digit of the multiplier and subtracting that from the units digit, we get a number divisible by 9.
18 is also a composite number, meaning it has multiple factors. For example, its factors are 1, 2, 3, 6, 9, and 18. Therefore, to multiply any number by 18, we can use any combination of these factors. For example, multiplying 5 by 18 is the same as multiplying 3 by 6 by 5 or multiplying 2 by 9 by 5. This can help simplify complex multiplication problems by breaking them into smaller parts.
In conclusion, understanding tables 17, 18, and 19, specifically table 18, can help us solve mathematical problems quickly and efficiently. The patterns discussed in this section can guide us while multiplying by 18 and enable us to find the solution quickly, even for large numbers.
Multiplying by 19 can seem daunting, but it becomes a breeze with the help of the table of 17, 18 19. Let’s look at the patterns and tricks to make multiplying by 19 easier and faster.
Firstly, let’s examine the multiples of 10. When multiplying a number by 19, multiply the number by 20 and then subtract the original number. For example, if we want to find the product of 7 and 19, we start by multiplying 7 by 20, which equals 140. Finally, subtract 7 from 140 to get the answer of 133.
If the number to be multiplied by 19 ends with a 9, then the product will end with 1. Similarly, if the number ends with an 8, the product will end with 2, and so on. So, for instance, when multiplying 6 by 19, the product will end with 4, as 6 ends with 6-1. Thus the answer will be 114.
For a more advanced method, try multiplying by 20 and subtracting twice the original number (e.g., 20x – 2x). This method may take more practice but can save time in the long run.
In conclusion, multiplying by 19 may seem difficult, but it becomes a much simpler task with the help of the table of 17, 18, and 19 and these simple tricks.
