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- 19 Times Table – Explanation & Examples
19 Times Table – Explanation & Examples
The 19 times table is the multiplication table of the number 19. The number 19 is a prime number, and unlike the previous prime numbers, the multiplication table of 19 is easier to learn and memorize. If you learn the 19 times table, it will help you solve complex multiplication and division-related problems.
19 times table is a table that contains the multiples of the number 19.
We will present some tips and patterns to help you learn and memorize the 19 times table in this topic.
You should refresh the following concepts to understand the material discussed here.
- Basics of addition and multiplication
- 9 times table
- 10 times table
19 Multiplication Table
The table of 19 can be written as:
- $19 \times 1 = 19$
- $19 \times 2 = 38$
- $19 \times 3 = 57$
- $19 \times 4 =76$
- $19 \times 5 =95$
- $19 \times 6 =114$
- $19 \times 7 = 133$
- $19 \times 8 = 152$
- $19 \times 9 = 171$
- $19 \times 10 = 190$
Different Tips for 19 Times Table:
The 19 times table is easy to understand and memorize if you know the tips and techniques. Let us look at some of these simple tips.
Using the 10 and the 9 Times Tables: If you have learned and memorized the 10 and the 9 times tables, this is one of the easiest methods to learn the 19 times tables, and it will also help you revise the previous tables. The method is quite simple, and all you have to do is add the multiples of 10 to the same multiples of 9, and the outcomes will be the multiples of 19. For example, the fifth multiple of 10 is 50, and the fifth multiple of 9 is 45, and if we add 50 and 45, we get 95 which is the fifth of 19. The detailed method is presented in the table below.
10 Times Table | 9 Times Table | Addition |
Outcome |
$10\times 1 = {\color{green}10}$ |
$9 \times 1 = {\color{red}9}$ | ${\color{green}10}+ {\color{red}9}$ |
$19$ |
$10\times 2 = {\color{green}20}$ |
$9 \times 2 = {\color{red}18}$ | ${\color{green}20}+ {\color{red}18}$ |
$38$ |
$10\times 3 = {\color{green}30}$ |
$9 \times 3 = {\color{red}27}$ | ${\color{green}30} + {\color{red}27}$ |
$57$ |
$10\times 4 = {\color{green}40}$ |
$9 \times 4 = {\color{red}36}$ | ${\color{green}40}+ {\color{red}36}$ |
$76$ |
$10\times 5 = {\color{green}50}$ |
$9 \times 5 = {\color{red}45}$ | ${\color{green}50} +{\color{red}45}$ |
$95$ |
$10\times 6 = {\color{green}60}$ | $9 \times 6 = {\color{red}54}$ | ${\color{green}60} +{\color{red}54}$ |
$114$ |
$10\times 7 = {\color{green}70}$ |
$9 \times 7 = {\color{red}63}$ | ${\color{green}70} +{\color{red}63}$ |
$133$ |
$10\times 8 = {\color{green}80}$ |
$9 \times 8 = {\color{red}72}$ | ${\color{green}80} + {\color{red}72}$ |
$152$ |
$10\times 9 = {\color{green}90}$ |
$9 \times 9 ={\color{red}81}$ | ${\color{green}90} + {\color{red}81}$ |
$171$ |
$10\times 10 = {\color{green}100}$ |
$9 \times 10 = {\color{red}90}$ | ${\color{green}100} + {\color{red}90}$ |
$190$ |
Digits Pattern: This method is simple and effective in learning and memorizing the 19 times table. First, draw a 3 x 3 grid and write the first 10 odd digits from 1 to 19, starting from the top left while moving to the right and ending at the bottom-right cell. The 10^{th} odd digit, i.e., 19, can be written separately. These digits are shown in the picture below.
Now, all you have to do is place the first 10 whole numbers from 0 to 9 starting from the last box and move up from the bottom right cell to the top left, as shown by the black digits in the picture below. The resulting table contains the first 10 multiples of 19.
Digits Pattern of the 9 Times Table: The ten’s digits of the first 10 multiples of the 9 times table are the same as those of the 19 times table. So, by using this method, you will find it easier to memorize the 19 times table, and it will also help you revise the 9 times table.
Table of 19 from 1 to 20:
A complete table of 19 from 1 to 20 can be written as:
Numerical Representation |
Descriptive Representation |
Product (Answer) |
$19 \times 1$ |
Nineteen times one |
$19$ |
$19 \times 2$ |
Nineteen times two |
$38$ |
$19 \times 3$ |
Nineteen times three |
$57$ |
$19 \times 4$ |
Nineteen times four |
$76$ |
$19 \times 5$ |
Nineteen times five |
$95$ |
$19 \times 6$ |
Nineteen times six |
$114$ |
$19 \times 7$ |
Nineteen times seven |
$133$ |
$19 \times 8$ | Nineteen times eight |
$152$ |
$19 \times 9$ |
Nineteen times nine |
$171$ |
$19 \times 10$ |
Nineteen times ten |
$190$ |
$19 \times 11$ | Nineteen times eleven |
$209$ |
$19 \times 12$ |
Nineteen times twelve |
$228$ |
$19 \times 13$ |
Nineteen times thirteen |
$247$ |
$19 \times 14$ |
Nineteen times fourteen |
$266$ |
$19 \times 15$ |
Nineteen times fifteen |
$285$ |
$19 \times 16$ |
Nineteen times sixteen |
$304$ |
$19 \times 17$ |
Nineteen times seventeen |
$323$ |
$19 \times 18$ |
Nineteen times eighteen |
$342$ |
$19 \times 19$ |
Nineteen times nineteen |
$361$ |
$19 \times 20$ |
Nineteen times twenty |
$380$ |
Example 1: Calculate 19 times 5 plus 210 minus 10 times 19.
Solution:
19 times 5 plus 210 minus 10 times 19 can be written as:
$ = (19\times 5) + 210 – (10 \times 19)$
$ = 95 + 210 – 190$
$ = 305 – 190 $
$ = 115 $
Example 2: Calculate 19 times 5 minus 10 times 6 plus 20.
Solution:
19 times 5 minus 10 times 6 plus 20 can be written as:
$ = (19\times5) – (10\times 6) + 20$
$ = 95 – 60 + 20$
$ = 35 + 20$
$ = 55$
Example 3: Garry saves 19 dollars daily. Using the 19 times table, calculate how much money Garry will have
- At the end of 11 days?
- At the end of 13 days?
- At the end of 15 days?
Solution:
- Garry saves 19 dollars a day. By using the 19 times table, we can calculate the amount saved by Garry in 11 days as
$19 \times 11 = 209$ dollars.
- By using the 19 times table, we can calculate the amount saved by Garry in 13 days as
$19 \times 13 = 247$ dollars.
- By using the 19 times table, we can calculate the amount saved by Garry in 15 days as
$19 \times 15 = 285$ dollars.
Example 4: Verify whether the sixth multiple of the number 19 is 119 or not?
Solution:
We know the first 10 multiples of 19 are 19, 38, 57, 76, 95, 114, 133, 152, 171, and 190.
So, the sixth multiple of the number 19 is 114. Hence, 119 is not the sixth multiple of 19.
Practice Questions:
- Simon has recently memorized the 19 times table. His teacher has tasked him with calculating the sum of the first 10 odd multiples of 19. You are required to help Simon with his assignment.
- If the cost of one chocolate is 4 dollars. What will be the cost of 19 chocolates?
- Find the value of “Y” if “$ Y \times 19 = 19 \times 10 – 175 + 19\times 20 – 10\times 10$.’’
- From the given table, select the numbers which are multiples of 19.
124 | 138 | 18 | 23 | 51 | 269 | 184 | 37 |
141 | 169 | 174 | 196 | 59 | 115 | 111 | 380 |
48 | 76 | 198 | 52 | 54 | 104 | 211 | 180 |
120 | 131 | 19 | 135 | 118 | 133 | 47 | 188 |
158 | 270 | 216 | 52 | 114 | 112 | 95 | 185 |
199 | 314 | 213 | 79 | 260 | 89 | 134 | 34 |
311 | 173 | 57 | 179 | 65 | 215 | 195 | 124 |
228 | 156 | 154 | 299 | 161 | 208 | 138 | 29 |
323 | 340 | 77 | 155 | 227 | 96 | 266 | 14 |
330 | 361 | 155 | 159 | 196 | 230 | 190 | 274 |
Answer Key:
- First, write the first 20 multiples of the number 19; you can easily separate the odd ones.
The first 20 multiples of the number 19 are 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 304, 323, 342, 361 and 360.
The first 10 odd multiples are 19, 57, 95, 133,171, 209, 247, 285, 323, and 361. The sum can be calculated as,
$19+57+95+133+171+209+247+285+323+361 = 1900$.
- The cost of one chocolate = 4 dollars
Cost of 19 chocolates will be $= 19\times 4 = 76$
- $ Y \times 19 = (19 \times 10) – 185 + (19\times 20) – (10\times 10$).
$ Y \times 19 = 190 – 185 + 380 – 100 $.
$ Y \times 19 = 190 + 380 – 185 – 100 $.
$ Y \times 19 = 570 – 285 $.
$Y \times 19 = 285 $
We know $19 \times 15 =285$, so
$ Y = 15$.
4)
124 | 138 | 18 | 23 | 51 | 269 | 184 | 37 |
141 | 169 | 174 | 196 | 59 | 115 | 111 | 380 |
48 | 76 | 198 | 52 | 54 | 104 | 211 | 180 |
120 | 131 | 19 | 135 | 118 | 133 | 47 | 188 |
158 | 270 | 216 | 52 | 114 | 112 | 95 | 185 |
199 | 314 | 213 | 79 | 260 | 89 | 134 | 34 |
311 | 173 | 57 | 179 | 65 | 215 | 195 | 124 |
228 | 156 | 154 | 299 | 161 | 208 | 138 | 29 |
323 | 340 | 77 | 155 | 227 | 96 | 266 | 14 |
330 | 361 | 155 | 159 | 196 | 230 | 190 | 274 |