Rivalry2

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Original 2026-01-01

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1 Arithmetic formulas form the<a>base</a>of all mathematical learning. They cover the four main operations: Addition, Subtraction, Multiplication, and Division, that help students calculate and understand numbers with ease, preparing them for problem-solving in advanced mathematics. Here are the following basic<a></a><a>arithmetic operations</a>:

2 Addition (+): <a>Addition</a>is the process of combining two or more numbers to find their total or<a>sum</a>.

3 Formula: \(a + b = c\) Here, a and b are the numbers being added, and c is the resulting sum.

4 Example:Jack has 4 Pokemon cards and John have 6 cards. If Jack decides to give his cards to John, how many cards will John have?

5 Solution:Number of cards Jack has = 4 Number of cards John has = 6 After Jack gives John 4 cards, John will have \( = a + b = c\) \(= 4 + 6\) \(= 10\)

6 So John will have a total of 10 Pokemon cards with him.

7 Explanation:We use<a>addition</a>because we are combining two amounts. Therefore, 6 cards become 10 cards.

8 Subtraction (-): <a>Subtraction</a>is used to find the difference between two numbers.

9 Formula: \(a - b = c\) Here, a is the minuend, b is the subtrahend, and c is the difference.

10 Example : Jack takes 2 cards back from John's 10 cards. How many cards will John have left?

11 Solution:Number of Cards John has = 10 Number of cards Jack takes away from John = 2 Number of cards remaining with John \(= a - b = c\) \(= 10 - 2\) \(= 8\)

12 So now John will have a total of 8 cards with him.

13 Explanation:Jack took two of his cards back from your 10 cards. You will be left with only 8 cards.

14 Multiplication (×): <a>Multiplication</a>is the process of adding a number to itself a specific number of times.

15 Formula: \(a \times b = c\) Here, a is the number being multiplied (the multiplicand), b shows how many times 'a' is multiplied by itself (the<a>multiplier</a>), and c is the final result (the<a>product</a>).

16 Example:Jack now surprised John with 3 unopened packs of pokemon cards each with 5 cards inside. How many cards in total will John get from these packs?

17 Solution:Jack gives John 3 packs of Pokemon cards. Each pack contains 5 cards.

18 To find the total number of cards John receives: Total cards = \(a \times b = c\) = Number of packs × Cards per pack \(= 3 × 5\) \(= 15\)

19 Therefore, John will get a total of 15 cards from the 3 unopened pokemon packs

20 Explanation:We use<a>multiplication</a>when we have groups of equal size. Adding would take more time, so we use multiplication instead.

21 Division (÷): <a>Division</a>is the process of splitting a number into equal groups.

22 Example formula: \(a \over b\) \(= c\) or \(a ÷ b = c\). Here, a (the dividend) is divided by b (the divisor) to get c (the quotient).

23 Example 4: If John have a total of 30 cards, and John decides to split the cards equally between him and Jack. How many cards would each of them get?

24 Solution:Number of cards John has = 30 Number of people sharing the cards = 2 Number of cards each person gets = \({a \over b} = c\) = Number of Cards John has \ Total Number of People = \({30} \over 2\) \(= 15\)

25 Jack and John would get 15 cards each.

26 Explanation:Division helps us split things into equal parts. It's especially useful when we want to share or distribute something in equal amounts.