📘 arithmetic

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

1. The problem is to solve the expression $1+1$. 2. The operation involved is addition, which means combining two numbers to get their total.

1. The problem is to understand the number 2 as given. 2. Since 2 is a constant number, there is no equation or expression to solve.

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

1. **State the problem:** We need to evaluate the expression $2(4)(1)$ step by step. 2. **Recall the multiplication rule:** Multiplication is associative, so we can multiply the nu

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

1. **State the problem:** We want to find 4 times 9 using Susan's double double strategy. 2. **Explain the strategy:** Susan multiplies the number by 2, then multiplies the result

1. **State the problem:** We need to find the exact value of $414 \div 18$. 2. **Initial estimate:** Sarah estimated $414 \div 18$ by comparing it to $400 \div 20 = 20$.

1. **State the problem:** We need to find the exact value of $448 \div 56$. 2. **Initial estimate:** Abby estimated $448 \div 56$ by approximating it as $450 \div 50 = 9$.

1. **State the problem:** We need to find the exact value of the division $814 \div 37$. 2. **Initial estimate:** Warren estimated the quotient as $20$ because $800 \div 40 = 20$.

1. **State the problem:** We need to find the exact value of $814 \div 37$. 2. **Initial estimate:** Warren estimated $814 \div 37$ by approximating $800 \div 40 = 20$.

1. **State the problem:** We need to find the exact value of $594 \div 27$ and check if Aaliyah's estimate of $20$ is accurate. 2. **Recall the estimate:** Aaliyah used $600 \div 3

1. **State the problem:** We want to find the exact value of $168 \div 42$ and check if Katy's estimate of $4$ is accurate. 2. **Estimate given:** Katy used $160 \div 40 = 4$ as an

1. **State the problem:** We need to find the sums of $-5 + 5$ and $-4 + (-3)$. 2. **Recall the addition rules for integers:** Adding a positive and its negative counterpart result

1. **State the problem:** We need to find the sums of $-1 + (-3)$ and $5 + (-2)$. 2. **Recall the rule for adding integers:** When adding two negative numbers, add their absolute v

1. **State the problem:** We need to find the sums of $-6 + (-5)$ and $-6 + 3$. 2. **Recall the addition rules for integers:**

1. The problem is to understand what the expression $+4$ means. 2. The plus sign $+$ before a number indicates a positive value.

1. **State the problem:** Calculate the sum of $960$ and $96$. 2. **Formula used:** Addition of two numbers is given by $$a + b$$ where $a$ and $b$ are the numbers.

1. **State the problem:** We need to find the product of $32$ and $133$. 2. **Formula used:** Multiplication of two numbers: $$a \times b$$ where $a=32$ and $b=133$.

1. The problem is to multiply 44 by 44. 2. The formula for multiplication is $a \times b = c$, where $a$ and $b$ are the numbers to multiply, and $c$ is the product.

1. **State the problem:** We need to find the sum of $4$ and $4$. 2. **Formula used:** Addition of two numbers is given by $$a + b$$ where $a$ and $b$ are numbers.