📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Basic Operations
1. The problem is to understand the relationship or operation involving the numbers 1 and 1.82.
2. Since the user did not specify an operation, let's consider basic operations: add
Sum Numbers
1. The problem is to find the sum of the given list of numbers.
2. The formula for the sum of a list of numbers $x_1, x_2, \ldots, x_n$ is:
Simple Subtractions
1. The problem asks to evaluate the following expressions: $1-4$, $9-10$, $13-16$, $17-18$, and $23-26$.
2. The operation used is subtraction, which means we take the second number
Counting Sixes
1. **State the problem:** We want to find how many times the number 6 fits into 78.
2. **Formula used:** To find how many times a number fits into another, we use division:
Decimal Division
1. Problem statement: Compute $7.2 / 0.8$.
2. Strategy and formula: To divide decimals, multiply both numbers by the same power of 10 to make the divisor an integer.
Decimal Division
1. **Problem:** Divide 7.2 by 0.8 using long division.
2. **Rule:** To divide decimals, multiply both dividend and divisor by the same power of 10 to make the divisor a whole numbe
Division 1253 15
1. **State the problem:** We need to divide 1253 by 15 and find the quotient and remainder.
2. **Formula and rules:** Division can be expressed as $$\text{Dividend} = (\text{Diviso
Basic Numbers
1. The problem asks which number is undefined.
- Division by zero is undefined in mathematics.
Total Acres
1. **State the problem:** We need to find the total number of acres planted by the farmer by adding the acres of oats, wheat, and barley.
2. **Write down the quantities:**
Mixed Number Operations
1. **Stating the problem:**
We need to perform addition and subtraction of mixed numbers and fractions for the given expressions.
Multiply 409 6.932
1. The problem is to multiply 409 by 6.932.
2. The formula for multiplication is simply $a \times b$ where $a=409$ and $b=6.932$.
Multiply Decimals
1. **State the problem:** Multiply 6.26 by 23.83.
2. **Formula used:** Multiplication of two decimal numbers is done by multiplying as if they were whole numbers and then placing t
Simple Addition
1. The problem is to find the sum of 1 and 1.
2. The formula for addition is $a + b = c$, where $a$ and $b$ are numbers and $c$ is their sum.
Solve Numbers
1. The problem asks to solve the expressions 3 and 4.
2. Since these are single numbers, the solution is simply the numbers themselves.
Number Properties
1. The problem is to understand the number 4 and its properties.
2. Number 4 is a positive integer and an even number.
Next 5 Digit
1. The problem is to find the next 5-digit number after a given 5-digit number.
2. A 5-digit number ranges from 10000 to 99999.
Next Integer
1. **State the problem:** We need to find the result of the expression $\text{next } 97216$. This typically means finding the next integer after 97216.
2. **Understand the operatio
Simple Addition
1. **State the problem:** Calculate the sum of 1 and 1.
2. **Formula used:** Addition of two numbers is given by $a + b$.
Simple Division
1. **State the problem:** Simplify the expression $\frac{96}{12}$.\n\n2. **Formula and rules:** Division of two numbers is performed by dividing the numerator by the denominator. H
Multiplication Expression
1. The expression given is $26 \times 25 \times 24 \times 10 \times 9$.
2. This is a multiplication of several numbers, not a variable.
Number Properties
1. The problem asks for the least 5-digit odd number.
2. The least 5-digit number is 10000, but it is even. The smallest odd number must end with 1, so the least 5-digit odd number