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Last updated on March 28th, 2025
In math, multiples are the products we get while multiplying a number with other numbers. Multiples play a key role in construction and design, counting groups of items, sharing resources equally, and managing time effectively. In this topic, we will learn the essential concepts of multiples of 9.
Now, let us learn more about multiples of 9. Multiples of 9 are the numbers you get when you multiply 9 by any whole number, along with zero. Each number has an infinite number of multiples, including a multiple of itself.
In multiplication, a multiple of 9 can be denoted as 9 × n, where ‘n’ represents any whole number (0, 1, 2, 3,…). So, we can summarize that:
Multiple of a number = Number × Any whole number
For example, multiplying 9 × 1 will give us 9 as the product. Multiples of 9 will be larger or equal to 9.
Multiples of 9 include the products of 9 and an integer. Multiples of 9 are divisible by 9 evenly. The first few multiples of 9 are given below:
TABLE OF 9 (1-10) | |
---|---|
9 x 1 = 9 |
9 x 6 = 54 |
9 x 2 = 18 |
9 x 7 = 63 |
9 x 3 = 27 |
9 x 8 = 72 |
9 x 4 = 36 |
9 x 9 = 81 |
9 x 5 = 45 |
9 x 10 = 90 |
TABLE OF 9 (11-20) | |
---|---|
9 x 11 = 99 |
9 x 16 = 144 |
9 x 12 = 108 |
9 x 17 = 153 |
9 x 13 = 117 |
9 x 18 = 162 |
9 x 14 = 126 |
9 x 19 = 171 |
9 x 15 = 135 |
9 x 20 = 180 |
Now, we know the first few multiples of 9. They are 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 90,...
Understanding the multiples of 9 helps solve mathematical problems and boost our multiplication and division skills. When working with multiples of 9, we need to apply it to different mathematical operations such as addition, subtraction, multiplication, and division.
9, 18, 27, 36, and 45 are the first five multiples of 9. When multiplying 9 from 1 to 5, we get these numbers as the products. So, the sum of these multiples is:
9 + 18 + 27 + 36 + 45 = 135
When we add the first 5 multiples of 9, the answer will be 135.
While we do subtraction, it improves our comprehension of how the value decreases when each multiple is subtracted from the previous one. 9, 18, 27, 36, and 45 are the first five multiples of 9. So, let us calculate it as given below:
9 - 18 = -9
-9 - 27 = -36
-36 - 36 = -72
-72 - 45 = -117
Hence, the result of subtracting the first 5 multiples of 9 is -117.
To calculate the average, we need to identify the sum of the first 5 multiples of 9, and then divide it by the count, i.e., 5. Because there are 5 multiples presented in the calculation. Averaging helps us to understand the concepts of central tendencies and other values. We know the sum of the first 5 multiples of 9 is 135.
9 + 18 + 27 + 36 + 45 = 135
Next, divide the sum by 5:
135 ÷ 5 = 27
27 is the average of the first 5 multiples of 9.
The product of given numbers is the result of multiplying all of them together. Here, the first 5 multiples of 9 include: 9, 18, 27, 36, and 45. Now, the product of these numbers is:
9 × 18 × 27 × 36 × 45 = 10,648,320
The product of the first 5 multiples of 9 is 10,648,320.
While we perform division, we get to know how many times 9 can fit into each of the given multiples. 9, 18, 27, 36, and 45 are the first 5 multiples of 9.
9 ÷ 9 = 1
18 ÷ 9 = 2
27 ÷ 9 = 3
36 ÷ 9 = 4
45 ÷ 9 = 5
The results of dividing the first 5 multiples of 9 are: 1, 2, 3, 4, and 5.
Liam and his friends are preparing gift bags for a charity event. Each gift bag contains 9 items. If they prepare gift bags for 6 events, how many items will they have used in total?
Alice, Ben, and Claire are stacking boxes in a storehouse in the order of the first three multiples of 9. How many boxes did each of them stack based on this series of the first three multiples of 9?
In Green Valley School, there are 9 sports teams. Each team consists of 9 players. How many players are there in total across all teams?
Mia has a collection of marbles organized in trays. She has 4 trays, and each tray holds 9 marbles. How many marbles does she have in total?
Kevin is setting up a display of action figures. He places 9 figures on the first shelf, 18 figures on the second shelf, and 27 figures on the third shelf. How many figures are there on all three shelves?
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
: She has songs for each table which helps her to remember the tables