📘 arithmetic

1. Problem: Erweitere $\frac{3}{4}$ mit 2. 2. To "erweitern" a fraction means to multiply numerator and denominator by the same number, which does not change the value of the fract

1. The problem is to calculate $2 - 4$. 2. We use the basic subtraction rule: subtract the second number from the first.

1. **State the problem:** Calculate the product of 209 and 37. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$.

1. The problem asks which scenarios could describe the number 35. 2. Let's analyze each scenario:

1. **State the problem:** We need to divide 700 by 26 and find the quotient and remainder. 2. **Formula and rules:** When dividing integers, the division algorithm states:

1. **State the problem:** Divide 1283 by 18 and find the quotient and remainder. 2. **Formula and rules:** When dividing integers, the division algorithm states:

1. **Problem:** Find the average number of coloured pencils counted by 5 children with counts 13, 8, 24, 11, and 7. 2. **Formula:** The average (mean) is given by $$\text{Average}

1. **State the problem:** Divide 5 by \(\frac{1}{5}\). That is, calculate \(5 \div \frac{1}{5}\). 2. **Recall the division rule for fractions:** Dividing by a fraction is the same

1. The problem is to find the best way to teach double-digit multiplication to 8-year-old kids and help them acquire the skills effectively. 2. One effective method is to break dow

1. The problem is to evaluate the expression $9 + (-197)$. 2. This is an addition problem involving a positive number and a negative number. The rule is to subtract the smaller abs

1. **State the problem:** Andre has 5 notebooks, and each notebook contains 60 sheets of paper. We need to find the total number of sheets of paper in all 5 notebooks. 2. **Formula

1. **Problem statement:** Find the products for the given pairs of numbers. 2. **Formula:** To multiply decimals, multiply as if they were whole numbers, then place the decimal poi

1. **State the problem:** Find the difference between the mixed numbers $10 \frac{1}{9}$ and $9 \frac{3}{4}$. 2. **Convert mixed numbers to improper fractions:**

1. **Stating the problem:** Multiply the two-digit number 25 by the one-digit number 2. 2. **Formula used:** Multiplication of a two-digit number by a one-digit number can be done

1. **Problem:** Betsy has 14.25 and her brother has 16.00. They want to buy two water guns costing 12.99 each and a bag of water balloons costing 4.79. Do they have enough money? I

1. The problem is to multiply 13 by 7. 2. The multiplication formula is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is their product.

1. The problem states: Evaluate the expression $1+1=3$ and verify its correctness. 2. The expression is an addition problem: $1+1$.

1. Problem: Interpret and evaluate the expression interpreted as $\frac{3(2+4+2-1/4)}{7}$.\n2. Rules: Use order of operations (parentheses, exponents, multiplication/division left-

1. **Problem statement:** Find the missing numbers in the subtraction equations involving mixed numbers and fractions. 2. **Recall the subtraction rule:** If $a - x = b$, then $x =

1. **State the problem:** Solve the equation $678 - 9$. 2. **Formula and rules:** Subtraction is the operation of finding the difference between two numbers. Here, we subtract 9 fr

1. **State the problem:** Calculate the product of 27 and 3. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$.