📘 arithmetic

1. **State the problem:** Sarah wins $50$ tickets using $25$ tokens. We want to find how many tickets she wins per token. 2. **Formula:** To find tickets per token, divide total ti

1. **State the problem:** Multiply 10000000000 by 2009000. 2. **Formula used:** Multiplication of two numbers $a \times b$.

1. The problem is to multiply 1 by 2. 2. The multiplication formula is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is their product.

1. **State the problem:** Calculate the product of 2 and 2. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$.

1. The problem is to calculate the product of 2 and 2. 2. The formula for multiplication is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is their product.

1. **Place Value**: The value of a digit depends on its position in a number. For example, in $345$, the digit $3$ is in the hundreds place, so its value is $3 \times 100 = 300$.\n

1. **State the problem:** Calculate $2 \frac{4}{9} \div 4 \frac{2}{3} - \frac{3}{7}$. 2. **Convert mixed fractions to improper fractions:**

1. **State the problem:** We need to divide $20625$ by $60$. 2. **Formula used:** Division is the operation of determining how many times one number is contained within another. Th

1. **State the problem:** We need to find the product of $275$ and $75$. 2. **Recall the multiplication formula:** Multiplying two numbers $a$ and $b$ is given by $$a \times b$$.

1. The problem is to multiply 7,250,000 by 36. 2. The formula for multiplication is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is the product.

1. The problem is to find the equivalent of 1. 2. Since 1 is a unit value, its equivalent in any standard numerical system or unit is simply 1.

1. Let's state the problem: We want to check if $50$ is equal to $180 - 110$. 2. The formula used here is simple subtraction: $$a - b = c$$ where $a = 180$, $b = 110$, and $c$ is t

1. The problem involves calculating the products of given numbers: $61.6 \times 0.00102$ and $74.15 \times 0.0020$.\n\n2. We use the multiplication formula for decimals: multiply t

1. The problem is to find the product of 800 and 500. 2. The formula for multiplication is:

1. The problem is to multiply 100 by 700. 2. The formula for multiplication is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is their product.

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

1. **State the problem:** We want to multiply $34$ by $27$ using the Russian peasant method. 2. **Explain the method:** The Russian peasant method involves repeatedly halving one n

1. **State the problem:** We want to multiply $34$ by $27$ using the Russian peasant multiplication method. 2. **Explain the method:** This method involves repeatedly halving the f

1. **State the problem:** We need to divide $95$ by $4$. 2. **Formula used:** Division is represented as $$\frac{a}{b}$$ where $a$ is the dividend and $b$ is the divisor.

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

1. **State the problem:** Calculate the product of 6 and 122. 2. **Formula used:** Multiplication of two numbers is given by $a \times b$.