📘 arithmetic

1. **State the problem:** The cost of food for a family increases from 41000 to 45000. We need to calculate the amount of money by which the cost has increased. 2. **Formula used:*

1. The problem is to add the mixed numbers $8 \frac{1}{2}$ and $3 \frac{5}{8}$.\n\n2. First, convert the mixed numbers to improper fractions.\n\nFor $8 \frac{1}{2}$: $$8 \times 2 +

1. **State the problem:** Add the mixed numbers $2 \frac{2}{3}$ and $3 \frac{1}{2}$.\n\n2. **Convert mixed numbers to improper fractions:**\n$2 \frac{2}{3} = \frac{2 \times 3 + 2}{

1. Problem: Compute $62^3$. 2. Formula: For any number $a$, $a^3 = a \times a \times a$.

1. **Stating the problem:** We need to round the number 873481 to the nearest ten, hundred, and hundred thousand. 2. **Rounding rules:**

1. **Problem:** Round the number 196725 to the nearest ten thousand. 2. **Formula and rule:** To round to the nearest ten thousand, look at the digit in the thousand's place (the d

1. The first problem asks for the place value of the underlined digit in the expression $3 - 416$. However, no digit is underlined in the expression provided, so we cannot determin

1. The problem is to understand the number 3 as given. 2. Since 3 is a single number without any operation, it is already in its simplest form.

1. Find the value of each of the following. (a) Calculate $-\frac{3}{7} + (-4)$.

1. **State the problem:** Calculate the value of $1 - 1$. 2. **Recall the subtraction rule:** Subtraction means taking away the second number from the first.

1. Let's create a quiz with problems where most answers equal 67. 2. Problem 1: Find $x$ if $x + 33 = 100$.

1. **State the problem:** Calculate the sum of the numbers 14 and 23. 2. **Formula used:** To find the sum of two numbers, use the addition formula:

1. **State the problem:** Calculate the value of the expression $15 + 4 \times 5$. 2. **Recall the order of operations:** According to the order of operations (PEMDAS/BODMAS), mult

1. The problem asks to find \textit{one quarter} of 80 marbles. 2. The phrase "one quarter" means \frac{1}{4} of a quantity.

1. **State the problem:** Calculate the sum of 39 and 16. 2. **Formula used:** Addition of two numbers is given by $a + b$.

1. The problem is to multiply 5 by 8. 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:** We need to find the result of dividing 6 by 30. 2. **Formula used:** Division is represented as $\frac{a}{b}$ where $a$ is the numerator and $b$ is the de

1. **State the problem:** Multiply 100,000 by 41.6. 2. **Recall the multiplication rule:** When multiplying a whole number by a decimal, multiply as if both were whole numbers, the

1. **State the problem:** Multiply 0.24 by 1,000. 2. **Recall the multiplication rule for decimals and powers of 10:** Multiplying a decimal number by 1,000 (which is $10^3$) shift

1. **State the problem:** Multiply 10 by 0.019. 2. **Formula used:** Multiplication of two numbers is done by multiplying their values directly.

1. **State the problems:** We need to subtract the mixed fractions in each problem: