Multiplication Table Of 38
The table of 38 is the list of products you get when you multiply 38 by each whole number in turn. It has two easy handles: 38 is double 19, and 38 is just two short of 40.
Table Of 38 Up To 10
Multiplication | Product |
|---|---|
$38 \times 1$ | 38 |
$38 \times 2$ | 76 |
$38 \times 3$ | 114 |
$38 \times 4$ | 152 |
$38 \times 5$ | 190 |
$38 \times 6$ | 228 |
$38 \times 7$ | 266 |
$38 \times 8$ | 304 |
$38 \times 9$ | 342 |
$38 \times 10$ | 380 |
Table Of 38 Up To 20
Multiplication | Product |
|---|---|
$38 \times 11$ | 418 |
$38 \times 12$ | 456 |
$38 \times 13$ | 494 |
$38 \times 14$ | 532 |
$38 \times 15$ | 570 |
$38 \times 16$ | 608 |
$38 \times 17$ | 646 |
$38 \times 18$ | 684 |
$38 \times 19$ | 722 |
$38 \times 20$ | 760 |
What Is The Table Of 38 In Words?
Reading the table aloud makes the rhythm audible before the digits stick.
One times 38 is 38
Two times 38 is 76
Three times 38 is 114
Four times 38 is 152
Five times 38 is 190
Six times 38 is 228
Seven times 38 is 266
Eight times 38 is 304
Nine times 38 is 342
Ten times 38 is 380
What Is The 38 Times Table?
The 38 times table is repeated addition of 38. Each row stacks one more group of thirty-eight, so the table answers "how much is 38, added to itself, again and again?"
Built from the ground up, the ladder starts like this:
$38$
$38 + 38 = 76$
$38 + 38 + 38 = 114$
$38 + 38 + 38 + 38 = 152$
Multiplication is the shortcut for this stacking, which is why $38 \times 4$ and "four thirty-eights added together" both give 152.
What Are The Multiples Of 38?
The multiples of 38 are the numbers you reach by skip-counting in thirty-eights. The first twenty are:
38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608, 646, 684, 722, 760.
Every entry is a multiple of 38, and since $38 = 2 \times 19$, each one is also even and a multiple of 19. The units digits cycle 8, 6, 4, 2, 0 and then repeat, because adding 38 shifts the last digit down by 2 each time.
How To Learn The 38 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its products into recall. The table of 38 grows straight out of tables and round numbers you already know, so you can rebuild any row by reasoning. Seeing that structure is the number sense algebra later leans on.
Every pattern below comes from how 38 sits between numbers: $38 = 2 \times 19$ and $38 = 40 - 2$.
Pattern 1: The 38s are the 19s doubled. Because $38 = 2 \times 19$, every multiple of 38 is double the matching multiple in the 19 times table. For $38 \times 6$: $19 \times 6 = 114$, doubled is 228.
Pattern 2: Multiply by 40, then subtract two of the number. Since $38 = 40 - 2$, you have $38 \times n = 40n - 2n$. For $38 \times 7$: $40 \times 7 = 280$, minus $2 \times 7 = 14$, gives 266.
Pattern 3: Split the multiplier by place value. A large row decomposes the way its number is written. For $38 \times 13$, read 13 as $10 + 3$, so $38 \times 13 = (38 \times 10) + (38 \times 3) = 380 + 114 = 494$ - the distributive idea you meet again as $38(10 + 3)$ in algebra.
Pattern 4: The units digits cycle. The last digits run 8, 6, 4, 2, 0 and repeat every five steps, a quick check that a product sits on the table at all.
How Do You Read And Use The Table Of 38?
Read each row left to right: $38 \times 6 = 228$ is "thirty-eight, taken six times, gives two hundred twenty-eight." The first number is the group size, the second is the count of groups, and the product is the total.
To use it at speed, reach for the round-40 route and lean on mental math tricks that subtract the small correction. If a row slips, rebuild it by doubling the nineteens.
Where Does The Table Of 38 Appear?
The table of 38 shows up wherever items come in thirty-eights or in pairs of nineteen. Counting scores or tallies that group by 38, pricing 38-unit cases, or totalling anything sold two nineteens at a time reads straight off this table. It also appears in time and distance problems built on 38-minute or 38-kilometre steps, where each additional leg adds one more 38.
Solved Examples Of The Table Of 38
Example 1
What is $38 \times 5$?
Use the round-40 route: $40 \times 5 = 200$, minus $2 \times 5 = 10$.
$38 \times 5 = 190$
Final answer: $38 \times 5 = 190$.
Example 2 (Wrong path first)
A crate holds 38 bottles. How many bottles in 9 crates?
Wrong attempt. The rusher does $40 \times 9 = 360$ and forgets to subtract the correction.
Why it breaks. Each crate is 2 short of 40, and nine crates are $9 \times 2 = 18$ short, so 360 overcounts.
Correct. Take $40 \times 9 = 360$, then subtract $2 \times 9 = 18$.
$38 \times 9 = 342$
Final answer: 342 bottles.
Example 3
Find $38 \times 12$.
Split it: $38 \times 10 = 380$ and $38 \times 2 = 76$.
$380 + 76 = 456$
Final answer: $38 \times 12 = 456$.
Example 4
$38 \times {?} = 570$.
Divide to find the missing factor: $570 \div 38 = 15$.
Final answer: $38 \times 15 = 570$.
Example 5
A ticket costs 38, and a group buys 8. What is the bill?
Double the nineteens: $19 \times 8 = 152$, doubled is $304$.
Final answer: 304.
What Are Common Mistakes With The Table Of 38?
Mistake 1: Forgetting to subtract the correction
Where it slips in: Using the round-40 route but stopping at $40 \times n$ without removing $2n$.
Don't do this: Writing $38 \times 6 = 240$ (that is $40 \times 6$, not $38 \times 6$).
The correct way: $40 \times 6 = 240$, then subtract $2 \times 6 = 12$, giving $38 \times 6 = 228$.
Mistake 2: Doubling the wrong table
Where it slips in: Reaching for the doubling route but doubling the 18s or 20s instead of the 19s.
Don't do this: Answering $38 \times 7$ as $18 \times 7$ doubled, or $20 \times 7$ doubled.
The correct way: $38 = 2 \times 19$, so double the nineteens: $19 \times 7 = 133$, doubled is $266$.
Practice Questions On The Table Of 38
$38 \times 3 = {?}$
$38 \times 7 = {?}$
Fill in the blank: $38 \times {?} = 456$.
A box holds 38 tiles. How many in 6 boxes?
$38 \times 11 = {?}$
Which is larger, $38 \times 8$ or $38 \times 7$?
$38 \times 20 = {?}$
Use doubling: if $19 \times 9 = 171$, what is $38 \times 9$?
Answers: 1. 114 2. 266 3. 12 4. 228 5. 418 6. $38 \times 8 = 304$ is larger 7. 760 8. 342.
Conclusion
The table of 38 rewards understanding over recall: once you see it as the nineteens doubled and as forty-minus-two, every row is rebuildable. To take this further with a teacher, explore mental maths for kids sessions, work one-to-one with an elementary math tutor, or browse the math programs for kids that build this fluency step by step.
Read More
Tables from 1 to 20 hub - every chart from 2 to 20 in one place.
2 times table - the doubling factor that turns 19s into 38s.
Table of 40 - the round-number anchor for the forty-minus-two route.
How to teach multiplication - classroom-tested ways to build table fluency.
Was this article helpful?
Your feedback helps us write better content