📘 arithmetic

1. The problem is to understand the number 10 and its properties. 2. The number 10 is a positive integer and a base number in the decimal system.

1. The problem is to subtract 265 from 472. 2. The subtraction formula is $a - b = c$, where $a = 472$ and $b = 265$.

1. **State the problem:** A boy bought 3 pairs of socks at 17.50 each and paid with two 50.00 notes. We need to find how much change he was given. 2. **Formula and explanation:** T

1. **State the problem:** We need to calculate $8 \div 1 \frac{2}{5}$ and express the answer as a mixed number in its lowest terms. 2. **Convert the mixed number to an improper fra

1. **State the problem:** Multiply the mixed numbers $4 \frac{1}{2}$ and $1 \frac{2}{5}$ and express the answer as a simplified fraction. 2. **Convert mixed numbers to improper fra

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

1. The problem is to find the sum of the given list of numbers. 2. The formula for the sum of a list of numbers $x_1, x_2, \ldots, x_n$ is:

1. The problem is to calculate the sum of all the numbers provided in the list. 2. The formula for the sum of a list of numbers $x_1, x_2, ..., x_n$ is:

1. The problem is to evaluate the expression $-10 + 4$. 2. This is a simple arithmetic problem involving addition of integers.

1. **State the problem:** Multiply 15 by 5. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$.

1. **State the problem:** Multiply 6 by 12. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$.

1. **State the problem:** Calculate the product of 8 and 9. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$.

1. **State the problem:** Simplify the expression $7 - \frac{5}{6}$. 2. **Recall the formula:** To subtract a fraction from a whole number, convert the whole number to a fraction w

1. Let's clarify how to get 125 in a mathematical context. 2. One common way to get 125 is by calculating $5^3$ because $5 \times 5 \times 5 = 125$.

1. The problem asks us to calculate the sum of two products: $(46 \times 98) + (32 \times 61)$.\n\n2. The formula used here is the distributive property of multiplication over addi

1. The problem is to calculate $28 \times \frac{1}{100}$.\n\n2. The formula used here is multiplication of a number by a fraction: $a \times \frac{b}{c} = \frac{a \times b}{c}$.\n\

1. The problem asks to subtract 32 from 56 and then check the result by adding. 2. Write the subtraction: $$56 - 32$$

1. **State the problem:** Calculate the value of the expression $94 \times 34 \div 81$. 2. **Recall the order of operations:** Multiplication and division are performed from left t

1. The problem is to convert the mixed number $3 \frac{5}{10}$ into a decimal. 2. A mixed number consists of a whole number and a fraction. To convert it to a decimal, convert the

1. The problem is to find the value of 90. 2. Since 90 is a constant number, it does not require any calculation or formula.

1. The problem is to solve the expression $0.32 \times 9.8$. 2. The formula used here is simple multiplication: $a \times b$ where $a=0.32$ and $b=9.8$.