📘 arithmetic

1. The problem is to multiply 12 by 15. 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:** Round each given number to the nearest tenth. 2. **Recall the rule for rounding to the nearest tenth:** Look at the hundredths place (the second digit aft

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

1. **Stating the problem:** We need to divide 213590 by 118. 2. **Formula used:** Division is the process of finding how many times the divisor fits into the dividend. Here, we cal

1. The problem asks to explain the number 1.10 further. 2. In decimal notation, 1.10 means one whole unit plus ten hundredths.

1. The problem is to understand why the multiplication $4 \times 7$ is used instead of $7 \times 4$ in number 2. 2. Multiplication is commutative, which means $a \times b = b \time

1. The problem is to find the sum of 10 and 10. 2. The formula for addition is $a + b = c$, where $a$ and $b$ are numbers and $c$ is their sum.

1. **State the problem:** Divide 693,684 by 20 and find the quotient and remainder. 2. **Formula and rules:** When dividing whole numbers, the division algorithm states:

1. The problem is to find the sum of 2 and 1. 2. The formula for addition is $a + b = c$, where $a$ and $b$ are numbers and $c$ is their sum.

1. **State the problem:** Calculate the product of 22 and the fraction \(\frac{3}{5.5}\). 2. **Formula used:** Multiplication of a whole number by a fraction is given by \(a \times

1. The problem asks for the value of the digit 7 in the number 570296. 2. To find the value of a digit in a number, multiply the digit by its place value.

1. The problem is to evaluate the expression: $3 - 4 + 5 + 7$. 2. The formula used here is simple arithmetic addition and subtraction.

1. **Problem:** Add the mixed numbers and fractions as given. 2. **Formula:** To add or subtract mixed numbers, convert them to improper fractions or add whole numbers and fraction

1. **State the problem:** Add the mixed number $12 \frac{3}{4}$ and $0$. 2. **Formula and rules:** Adding zero to any number leaves the number unchanged. So, $a + 0 = a$.

1. **State the problem:** Calculate the sum $3 + \frac{1}{12} + \frac{2}{15}$. 2. **Find a common denominator:** The denominators are 1 (for 3), 12, and 15. The least common multip

1. **State the problem:** Calculate the sum $3 + \frac{1}{12} + \frac{2}{15}$. 2. **Find a common denominator:** The denominators are 1 (for 3), 12, and 15. The least common multip

1. **State the problem:** Subtract 1325 from 16671.88. 2. **Formula used:** For subtraction, use the formula $$a - b$$ where $a$ is the minuend and $b$ is the subtrahend.

1. **State the problem:** We need to divide 750 by 8. 2. **Formula used:** Division is the process of finding how many times one number is contained within another. Here, we calcul

1. **State the problem:** Divide 750 by 8. 2. **Formula used:** Division is the operation of determining how many times one number is contained within another. Here, we calculate $

1. **State the problem:** We need to find the sum of 77 and 33. 2. **Formula used:** Addition of two numbers is given by $a + b$.

1. **State the problem:** We need to find the value of the expression 3534. 2. **Understand the problem:** The number 3534 is already a numerical value, so no further calculation i