📘 arithmetic

1. **Problem:** Betsy has 14.25 and her brother has 16.00. They want to buy two water guns costing 12.99 each and a bag of water balloons costing 4.79. Do they have enough money? I

1. The problem is to multiply 13 by 7. 2. The multiplication formula is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is their product.

1. The problem states: Evaluate the expression $1+1=3$ and verify its correctness. 2. The expression is an addition problem: $1+1$.

1. Problem: Interpret and evaluate the expression interpreted as $\frac{3(2+4+2-1/4)}{7}$.\n2. Rules: Use order of operations (parentheses, exponents, multiplication/division left-

1. **Problem statement:** Find the missing numbers in the subtraction equations involving mixed numbers and fractions. 2. **Recall the subtraction rule:** If $a - x = b$, then $x =

1. **State the problem:** Solve the equation $678 - 9$. 2. **Formula and rules:** Subtraction is the operation of finding the difference between two numbers. Here, we subtract 9 fr

1. **State the problem:** Calculate the product of 27 and 3. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$.

1. The problem is to multiply 27 by 33. 2. The formula for multiplication is $a \times b = c$, where $a$ and $b$ are numbers and $c$ is the product.

1. **State the problem:** We have a 2.4-liter jug of water and cups that each hold 0.3 liters. We want to find out how many cups can be filled from the jug. 2. **Formula used:** To

1. **State the problem:** Lilly has 3 dollars, 3 quarters, 1 dime, 1 nickel, and 3 pennies. We need to find the total amount of money she has. 2. **Recall the values of coins:**

1. **State the problem:** We need to find the total amount of money by adding the given amounts: 3 dollars and 93 cents, 3 dollars and 88 cents, 3 dollars and 33 cents, and 3 dolla

1. The problem asks how dividing a number by 100 affects the position of the decimal point. 2. When you divide by 100, you are dividing by $10^2$.

1. The problem asks: If the decimal moves three places to the left, which operation does that represent and why? 2. When the decimal point moves to the left, the value of the numbe

1. The problem asks: If the decimal moves three places to the left, which operation does that represent and why? 2. When the decimal point moves to the left, the value of the numbe

1. The problem is to understand how dividing a number by 100 affects the position of its digits, specifically the decimal point. 2. When you divide a number by 10, the decimal poin

1. The problem asks how the value of the digit 5 changes from the number 500,000 to the number 0.5. 2. First, identify the place value of 5 in each number:

1. The problem asks: If the decimal moves two places to the right, which operation does that represent and why? 2. When the decimal point moves to the right, the value of the numbe

1. The problem asks how dividing a number by 1,000 affects the position of the decimal point. 2. When dividing by powers of 10, the decimal point moves to the left by as many place

1. The problem asks how multiplying a number by 10 affects the position of the decimal point. 2. When you multiply a number by 10, you are increasing its value by a factor of 10.

1. The problem asks: If the decimal moves three places to the left, which operation does that represent and why? 2. When the decimal point moves to the left, the value of the numbe

1. The problem asks: If the decimal moves one place to the left, which operation does that represent and why? 2. When a decimal point moves one place to the left in a number, the v