📘 arithmetic

1. State the problem: Compute $1+5$. 2. Interpret: We need to add the integers 1 and 5.

1. The problem is to evaluate the expression $99 + 452 \times 8$. 2. According to the order of operations, multiply first: calculate $452 \times 8$.

Problem: Compute $2\frac{1}{5}+\frac{1}{4}-3\frac{1}{5}\times\frac{2}{4}\div2\frac{4}{5}$.\n1. Convert the mixed numbers to improper fractions.\n$2\frac{1}{5}=\frac{11}{5}$.\n$3\fr

1. The problem is to convert the mixed number $1 \frac{2}{5}$ to a decimal. 2. Recall that the mixed number consists of a whole part and a fractional part: $1$ plus $\frac{2}{5}$.

1. The problem asks to add the numbers given as \cdots٥ + ٥.\n 2. The character \cdots indicates continuation or ellipsis, which means the problem is incomplete or the dots represe

1. **State the problem:** Add the mixed numbers $6 \frac{2}{5}$ and $5 \frac{3}{10}$.\n\n2. **Convert mixed numbers to improper fractions:**\n$6 \frac{2}{5} = \frac{6 \times 5 + 2}

1. The problem is to add two mixed numbers: $4 \frac{4}{8}$ and $3 \frac{2}{6}$. 2. Convert each mixed number to an improper fraction.

1. Let's understand the problem: we want to find why dividing 56 by 0.07 results in 800. 2. Division means determining how many times the divisor fits into the dividend. Here, the

1. The problem asks to find the missing digits that complete the subtraction calculations given. 2. For part (a), the subtraction problem shown is:

1. Calculate the difference between 983 and 389. The difference is given by $$983 - 389$$.

1. **Number Walls Completion:** For each number wall pyramid with bottom row bricks, the numbers above are the sums of adjacent bricks below.

1. **Complete Number Walls:** The rule is each number above equals the sum of the two below it. For bottom row 13,18,23:

1. Stated problem: Calculate the sum of 2 plus 2. 2. Add the numbers: $$2 + 2 = 4$$

1. Perform the addition $\frac{14}{17} + \frac{11}{17}$. Since the denominators are the same, add the numerators:

1. Let's start with a simple example calculation suitable for grade 8: calculate $ 7 \times 8 $.\n\n2. Multiply 7 by 8 using basic multiplication: $$ 7 \times 8 = 56 $$.\n\n3. Ther

1. The problem is to evaluate $$90 \div (3 \times 3) - 32$$. Using GEMDAS, first evaluate inside the parentheses: $$3 \times 3 = 9$$.

1. The problem is to calculate $2 - 100$. 2. Subtracting 100 from 2 means moving 100 units left from 2 on the number line.

1. The problem asks us to find the sum of 2 and 12. 2. To solve this, simply add the two numbers together: $$2 + 12$$.

1. The problem is to generate the multiplication table of 2. 2. The multiplication table lists the products of 2 with numbers from 1 to 10.

1. Stated problem: Calculate the sum of 20320 and -282. 2. Understand that adding a negative number is equivalent to subtraction: $$20320 + (-282) = 20320 - 282$$

1. The problem is to calculate the sum of 1 plus 1. 2. We add the two numbers: $1 + 1$.