Multiplication Table Of 98
The table of 98 is the list of products you get when you multiply 98 by each whole number in turn. Because 98 sits just two below 100, every row is close to a round hundred, which makes this one of the easier large tables to work out in your head.
Table Of 98 Up To 10
Multiplication | Product |
|---|---|
$98 \times 1$ | 98 |
$98 \times 2$ | 196 |
$98 \times 3$ | 294 |
$98 \times 4$ | 392 |
$98 \times 5$ | 490 |
$98 \times 6$ | 588 |
$98 \times 7$ | 686 |
$98 \times 8$ | 784 |
$98 \times 9$ | 882 |
$98 \times 10$ | 980 |
Table Of 98 Up To 20
Multiplication | Product |
|---|---|
$98 \times 11$ | 1078 |
$98 \times 12$ | 1176 |
$98 \times 13$ | 1274 |
$98 \times 14$ | 1372 |
$98 \times 15$ | 1470 |
$98 \times 16$ | 1568 |
$98 \times 17$ | 1666 |
$98 \times 18$ | 1764 |
$98 \times 19$ | 1862 |
$98 \times 20$ | 1960 |
What Is The Table Of 98 In Words?
Reading the table aloud builds the rhythm before the numbers stick.
One times 98 is 98
Two times 98 is 196
Three times 98 is 294
Four times 98 is 392
Five times 98 is 490
Six times 98 is 588
Seven times 98 is 686
Eight times 98 is 784
Nine times 98 is 882
Ten times 98 is 980
What Is The 98 Times Table?
The 98 times table is repeated addition of 98. Each row adds one more group of ninety-eight, so the table answers "how much is ninety-eight, added to itself, again and again?"
Built from the ground up, the ladder looks like this:
$98$
$98 + 98 = 196$
$98 + 98 + 98 = 294$
$98 + 98 + 98 + 98 = 392$
Multiplication is the shortcut for this stacking, which is why $98 \times 4$ and "four ninety-eights added together" both give 392.
What Are The Multiples Of 98?
The multiples of 98 are the numbers you reach by skip-counting in ninety-eights. The first twenty are:
98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666, 1764, 1862, 1960.
Every entry in the table of 98 is a multiple of 98, and because $98 = 2 \times 7 \times 7$, every one is even and divisible by 7 twice over. That is why the table can be read as the 49s doubled, or as the 14 times table scaled by seven.
How To Learn The 98 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its rows into recall. The table of 98 is large but forgiving, because 98 is so close to 100 that you can lean on the hundreds you already know and adjust. Getting comfortable with "round, then correct" is the same estimation instinct that makes mental arithmetic and later algebra faster.
Every pattern below comes from how 98 relates to numbers you know: $98 = 100 - 2$, and $98 = 14 \times 7 = 2 \times 49$.
Pattern 1: Round up to 100, then take back twice the count. Because $98 = 100 - 2$, you can compute $98 \times n$ as $100n - 2n$. For $98 \times 3$: $100 \times 3 = 300$ and $2 \times 3 = 6$, so $300 - 6 = 294$.
Pattern 2: The 98s are the 14s scaled by seven. Since $98 = 14 \times 7$, every multiple of 98 is seven times the matching entry in the 14 times table. For $98 \times 2$: $14 \times 2 = 28$, and $28 \times 7 = 196$.
Pattern 3: Split the multiplier by place value. A large row decomposes the way the number is written. For $98 \times 13$, read 13 as $10 + 3$, so $98 \times 13 = (98 \times 10) + (98 \times 3) = 980 + 294 = 1274$, the distributive idea you meet again as $98(10 + 3)$ in algebra.
Pattern 4: The units digit cycles 8, 6, 4, 2, 0. The last digit of each product follows the units digit of the 8 times table and repeats every five steps, a quick check on whether a number could belong to the table of 98 at all.
How Do You Read And Use The Table Of 98?
Read each row left to right: $98 \times 6 = 588$ is "ninety-eight multiplied six times gives five hundred eighty-eight." The first number is the group size, the second is the count of groups, and the product is the total.
To learn it, skip-count in ninety-eights while checking each result against the round hundred minus twice the count, then quiz yourself in a shuffled order so you are reasoning rather than reciting. If a row slips, rebuild it as $100n - 2n$ instead of guessing.
Where Does The Table Of 98 Appear?
Ninety-eight shows up most in prices set just under a round number. A tag reading 98 rupees or 98 cents is chosen to feel below a hundred, and totalling several such items is exactly the round-hundred-minus-two calculation the table makes easy: four items at 98 come to $400 - 8 = 392$. It also appears wherever a batch of 49 is doubled or a count of 14 is repeated seven times.
Solved Examples Of The Table Of 98
Example 1
What is $98 \times 7$?
Round up to 100, then take back twice the count: $100 \times 7 = 700$ and $2 \times 7 = 14$.
$700 - 14 = 686$
Final answer: $98 \times 7 = 686$.
Example 2 (Wrong path first)
A tray holds 98 chocolates. How many chocolates in 6 trays?
Wrong attempt. The rusher rounds 98 up to 100 and writes $100 \times 6 = 600$, then forgets to correct it.
Why it breaks. Rounding each tray up to 100 adds two imaginary chocolates per tray, so the count is $2 \times 6 = 12$ too high.
Correct. Take back the extra: $98 \times 6 = (100 \times 6) - (2 \times 6) = 600 - 12$.
$600 - 12 = 588$
Final answer: 588 chocolates.
Example 3
Find $98 \times 12$.
Split it: $98 \times 10 = 980$ and $98 \times 2 = 196$.
$980 + 196 = 1176$
Final answer: $98 \times 12 = 1176$.
Example 4
$98 \times {?} = 1470$.
Divide to find the missing factor: $1470 \div 98 = 15$.
Final answer: $98 \times 15 = 1470$.
Example 5
A worker earns 98 rupees an hour. What is the pay for 15 hours?
$98 \times 15 = (100 \times 15) - (2 \times 15) = 1500 - 30 = 1470$.
Final answer: 1470 rupees.
What Are Common Mistakes With The Table Of 98?
Mistake 1: Rounding to 100 but never correcting
Where it slips in: Using the hundred-minus-two route but stopping after the first step.
Don't do this: Writing $98 \times 4 = 400$ (that is $100 \times 4$, with the $2 \times 4 = 8$ never taken back).
The correct way: Take $100 \times 4 = 400$, then subtract $2 \times 4 = 8$, giving $98 \times 4 = 392$.
Mistake 2: Subtracting 2 instead of twice the count
Where it slips in: Correcting the round-hundred estimate, but taking off a flat 2 every time.
Don't do this: Writing $98 \times 6 = 598$ by subtracting a single 2 from 600.
The correct way: Subtract two for every group: $98 \times 6 = 600 - (2 \times 6) = 600 - 12 = 588$.
Practice Questions On The Table Of 98
$98 \times 4 = {?}$
$98 \times 9 = {?}$
Fill in the blank: $98 \times {?} = 1176$.
A carton holds 98 eggs. How many in 6 cartons?
$98 \times 11 = {?}$
Which is larger, $98 \times 7$ or $98 \times 8$?
$98 \times 20 = {?}$
A machine stamps 98 parts a minute. How many in 13 minutes?
Answers: 1. 392 2. 882 3. 12 4. 588 5. 1078 6. $98 \times 8 = 784$ is larger 7. 1960 8. 1274 parts.
Conclusion
The table of 98 rewards a single idea: it is the hundreds table with a small correction, since $98 = 100 - 2$. Multiply by 100, subtract twice the count, and every row from 98 to 1960 is something you can rebuild in your head rather than recall. To keep growing this kind of number sense with a teacher, explore mental maths for kids or work one-to-one with an elementary math tutor.
Read More
Multiplication Tables - the master hub linking every multiplication table in one place.
Tables from 1 to 20 - the core tables every student builds first.
7 times table - the prime factor that divides 98 twice over.
Table of 49 - the half of 98; double each row to get the ninety-eights.
Vedic maths multiplication tricks - fast methods for numbers close to a base like 100.
Math is Fun — Multiplication Tables - printable charts and interactive practice.
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