![](http://spiderimg1.safalta.com/assets/images/safalta.com/2022/02/23/750x506/4-times-table_1645626835.jpeg)
Source: Safalta.com
As a result, in this post, we will explore simple ways for learning the table of four quickly.Join Safalta School Online and prepare for Board Exams under the guidance of our expert faculty. Our online school aims to help students prepare for Board Exams by ensuring that students have conceptual clarity in all the subjects and are able to score their maximum in the exams.
For example, Nazma plans to divide 36 lollipops into four bags for her kids' "trick or treat" donation. She lacks the necessary skills to manage this distribution. Her buddy Amy argues that since 36 is a multiple of 4, dividing the lollipops should be simple for her. The four-digit multiplication table, as seen in the example above, is helpful in comprehending multiples patterns. The core notion of this section is a four-times table with whole numbers up to ten. There are 9 instructors at Sunny Lodge Nursery, for instance. Each teacher is in charge of four students. How many children are there in total? There will be a total of 9 x 4 = 36 children in this scenario.
1. Multiplication Table Of 4 Chart
2. 4 times Table
3. Tips for 4 times table
4. Table of 4 upto 20
5. 4 times table worksheet
6. Practise Questions
4 Times Table Chart-
MULTIPLICATION TABLE OF 4 CHART-
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)
Multiplication Table of 4
The multiplication table of 4 can help students solve mathematical problems involving multiplication and division, LCM, HCF, fractions, and percentages.
Go through the 4 times table that is given below.
You can use it for quick calculations.
4 Times Table
4 Times Table up to 10 |
|
4 × 1 = 4 |
4 × 6 = 24 |
4 × 2 = 8 |
4 × 7 = 28 |
4 × 3 = 12 |
4 × 8 = 32 |
4 × 4 = 16 |
4 × 9 = 36 |
4 × 5 = 20 |
4 × 10 = 40 |
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Tips for 4 Times Table
1. There is a pattern for every ten multiples of four: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.
The last digit of these multiples always repeats, which means that students can remember these digits.
Table of 4 up to 20
We have obtained the first ten multiples of 4. Let us evaluate up to 20 further.
4 × 11 = 44 | 4 × 16 = 64 |
4 × 12 = 48 | 4 × 17 = 68 |
4 × 13 = 52 | 4 × 18 = 72 |
4 × 14 = 56 | 4 × 19 = 76 |
4 × 15 = 60 | 4 × 20 = 80 |
4 Times Table Worksheet
Solving worksheets on the multiplication table of 4 will help you learn their multiplication facts for the 4 times tables up to 4 × 10.
Solving these questions will help in quick understanding of the 4 times table.
1. Example 1: Using the table of 4, evaluate 4 times 4 minus 2.
Solution:
First, we will write 4 times 4 minus 2 mathematically.
Using 4 times table, we have: 4 times 4 minus 2 = 4 × 4 - 2 = 16 - 2 = 14
Thus, 4 times 4 minus 2 is 14.
2 . Example 2: Applying 4 times table, check whether 4 times 5 minus 10 is 10.