📘 arithmetic

1. Do you want a practice question from me, or will you try your own? 2. Quick idea: A fraction shows a part of a whole.

1. **Problem:** Calculate $285 \times 63$. Formula: Multiplication of two numbers.

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

1. The problem is to multiply the numbers 1296 and 2041. 2. The formula for multiplication is simply $a \times b$ where $a$ and $b$ are the numbers to multiply.

1. Stating the problem: Calculate the value of the expression $$(3^3 - 5) + \frac{102}{2} - \left( \frac{140}{70} \right)$$. 2. Formula and rules: Use order of operations (PEMDAS/B

1. **State the problem:** Find the sum of $38 + 7$. 2. **Recall the addition rule:** When adding two numbers, add the ones place first, then the tens place, carrying over if needed

1. **State the problem:** We need to find the sum of 58 and 6, i.e., calculate $58 + 6$. 2. **Formula used:** Addition of two numbers is given by $$a + b = c$$ where $a$ and $b$ ar

1. **State the problem:** Solve the expression $5.5 - 4 \times 3$. 2. **Recall the order of operations:** According to the order of operations (PEMDAS/BODMAS), multiplication is pe

1. **Convert the fractions to decimals using equivalent fractions:** We use the formula for converting a fraction to a decimal: $$\text{Decimal} = \frac{\text{Numerator}}{\text{Den

1. The problem is to evaluate the expression $8$. 2. Since $8$ is a single number and not an operation, the value is simply $8$.

1. The problem asks us to estimate the quotient of the division $2426 \div 83$. 2. To estimate, we round the numbers to values that are easier to divide mentally.

1. The problem is to evaluate the expression $602 \times 20$ where 20 is underlined. 2. The multiplication formula is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is the

1. **State the problem:** We need to add the mixed numbers $5 \frac{8}{4}$ and $4 \frac{1}{3}$. 2. **Convert mixed numbers to improper fractions:**

1. **State the problem:** We need to divide 667 by 28. 2. **Formula used:** Division is the process of finding how many times the divisor fits into the dividend. Here, we calculate

1. **State the problem:** We need to represent each addition problem on a number line and find the sum. 2. **Formula and rules:** Addition on a number line means moving right for p

1. **State the problem:** Simplify the expression $5 \frac{1}{3} \div 3 \frac{3}{5} + 2 \frac{1}{3}$. 2. **Convert mixed numbers to improper fractions:**

1. **State the problem:** Calculate the value of $3 + 4^2$. 2. **Recall the order of operations:** According to the order of operations (PEMDAS/BODMAS), exponents are evaluated bef

1. **State the problem:** Calculate the value of the expression $ (3 + 4) \times (5 + 3 + 2) $. 2. **Recall the order of operations:** Parentheses first, then multiplication.

1. Stating the problem: Add the numbers 5.75 and another number (for example, 3.25). 2. Formula used: Addition of decimal numbers is done by aligning the decimal points and adding

1. The problem is to understand and practice the times table, which is a fundamental arithmetic tool used to multiply numbers. 2. The times table is based on multiplication, where

1. The problem asks to find the difference between $-22$ and $10$. 2. The difference between two numbers $a$ and $b$ is calculated as $a - b$.