📘 arithmetic

1. **State the problem:** Find the value of $2345.6198 - 24193107 + 33745811$. 2. **Understand the operations:** The expression involves subtraction and addition. According to the

1. **Stating the problem:** We want to understand the basic operations of whole numbers, which include addition, subtraction, multiplication, and division. 2. **Formulas and rules:

1. **State the problem:** Multiply $-68$ by $-92$. 2. **Recall the multiplication rule for signs:**

1. **State the problem:** Calculate the value of the expression $100000000000000000 \times 4.5 + \frac{300}{250} - 267 + \frac{4}{5} - (-2)$.\n\n2. **Recall the order of operations

1. **State the problem:** Multiply 47 by -25. 2. **Formula and rules:** Multiplication of integers follows the rule that a positive number times a negative number results in a nega

1. **State the problem:** We need to find the sum of 5 and 9. 2. **Formula used:** Addition of two numbers is given by $a + b$.

1. **State the problem:** We need to perform the operations: Add 5 and 3, then divide the result by 4, subtract 1, and finally multiply by 6. 2. **Write the expression:** The opera

1. **State the problem:** Calculate the sum of 3 and 8. 2. **Formula used:** Addition of two numbers is given by $a + b$ where $a$ and $b$ are numbers.

1. **State the problem:** Calculate the product of 15, 32, and 4. 2. **Formula used:** Multiplication of integers is associative and commutative, so we can multiply in any order: $

1. **State the problem:** Calculate the sum of 4 and 4. 2. **Formula used:** Addition of two numbers is given by $a + b$.

1. **State the problem:** Simplify the expression $36 \div 6$. 2. **Recall the division operation:** Division is splitting a number into equal parts. Here, we want to find how many

1. **State the problem:** We need to divide 1771285 by 67524. 2. **Formula used:** Division is the process of finding how many times one number is contained within another. The div

1. **State the problem:** Multiply 7532 by 71651. 2. **Formula used:** Multiplication of two integers is done by multiplying each digit and summing appropriately.

1. The problem is to perform the division of 4 by 6 and express the result as a decimal. 2. The formula for division is \( \text{Dividend} \div \text{Divisor} = \text{Quotient} \).

1. **State the problem:** Multiply 198,000 by 0.8929. 2. **Formula used:** Multiplication of two numbers is straightforward: $$a \times b$$.

1. The problem is to find the sum of the given numbers: 2140, 604, 3715, 861, 1840, 711, 140061, 589, 39980, 6168, 4000, 15998, 395, 4000, 15998, 399, 13100, 4000, 79, 6999. 2. The

1. The problem is to find the sum of the given numbers. 2. The formula for the sum of a list of numbers $a_1, a_2, \ldots, a_n$ is:

1. **State the problem:** We need to find the total sum of the numbers 596648, 261637, 249852, 223805, and 30523. 2. **Formula used:** To find the total sum, we use the addition op

1. Problem: Calculate the value of 3 multiplied by 26. 2. Formula: Multiplication can be seen as repeated addition. So, $a \times b = a + a + \cdots + a$ ($b$ times).

1. The problem is to understand place value in grade 6, which means knowing the value of each digit in a number based on its position. 2. The place value of a digit depends on its

1. **State the problem:** We need to multiply 3.338 by 2.074. 2. **Recall the multiplication rule:** To multiply two decimal numbers, multiply them as if they were whole numbers, t