Example Question - arithmetic expression
Here are examples of questions we've helped users solve.
Solving Arithmetic Expression with Division and Addition/Subtraction
To solve the expression, follow the order of operations (PEMDAS/BODMAS): 1. Perform any calculations inside parentheses first. 2. Solve multiplication and division from left to right. 3. Solve addition and subtraction from left to right. The given expression: \(9 - 3 \div \frac{1}{3} + 1\) There are no parentheses, so we move to division: \(9 - (3 \div \frac{1}{3}) + 1\) \(3 \div \frac{1}{3}\) is the same as \(3 \times 3\), which equals 9. Now replace this in the original expression: \(9 - 9 + 1\) Now we solve the subtraction and addition from left to right: \(9 - 9 = 0\) \(0 + 1 = 1\) So the final solution is: \(1\)
Understanding Arithmetic: Addition of Numbers
The equation written in the provided image is "1 + 1 = 2". This is a simple arithmetic expression stating that the sum of one and one equals two. The equation is correct. Here are the steps you would generally follow to solve such an expression, although this particular one is straightforward: 1. Identify the numbers to be added together. In this case, it's the number 1 and another number 1. 2. Add these two numbers. When you add 1 to 1, you get the sum of 2. 3. Thus, the result of 1 + 1 is indeed 2. Based on basic arithmetic principles, the equation "1 + 1 = 2" is an accurate representation of this math fact.
Solving Arithmetic Expression Using PEMDAS
To solve the equation in the image, follow the order of operations, which is commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). The expression is: 4 × (15 + 2) + 8 First, solve the parentheses: 15 + 2 = 17 Now you replace the sum in the parentheses with the result: 4 × 17 + 8 Next, proceed with the multiplication: 4 × 17 = 68 Finally, add the last number: 68 + 8 = 76 So the expression equals 76.
Solving an Arithmetic Expression with Negative Numbers
The expression in the image is: \[ 9 + (-4) \times (-3)^2 \] To solve this expression, we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), doing operations in this order. First, we handle the exponent: \[ (-3)^2 = (-3) \times (-3) = 9 \] Now the expression is: \[ 9 + (-4) \times 9 \] Next, we do the multiplication: \[ (-4) \times 9 = -36 \] Now the expression is: \[ 9 + (-36) \] Finally, perform the addition: \[ 9 + (-36) = 9 - 36 = -27 \] So the result of the expression is \(-27\).
Solving Arithmetic Expression with Multiple Parentheses
To solve the expression given in the image, you need to follow the order of operations and signs. Starting from the innermost parentheses and moving outward: The expression inside the innermost parentheses is -12. As we move outward, each set of parentheses inverts the sign: 1. -( -12 ) becomes 12 2. +( 12 ) remains 12 (since positive sign doesn't change the value) 3. -( 12 ) changes it to -12 4. And finally, -( -12 ) changes it back to 12 So the final answer to the expression is 12.
Solving Arithmetic Expression with PEMDAS/BODMAS Order of Operations
The equation in the image follows the order of operations, which in mathematics is commonly abbreviated as PEMDAS/BODMAS: P/B - Parentheses/Brackets E/O - Exponents/Orders (i.e., powers and square roots, etc.) MD - Multiplication and Division (left-to-right) AS - Addition and Subtraction (left-to-right) First, you would solve any expressions within parentheses or brackets. \( 2 + 2 = 4 \) Next, you would address any exponents or orders if they were present, which there are not in this case. Then, you proceed with multiplication and division from left to right. So, you take the initial equation: \( 8 \div 2 \times (2 + 2) \) After solving the parentheses: \( 8 \div 2 \times 4 \) Now, you perform the division and multiplication from left to right: \( 4 \times 4 = 16 \) Therefore, the answer is 16.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com