Home
Class 6
MATHS
Evaluate the following arithmetic expres...

Evaluate the following arithmetic expressions:
`85-55+18xx5-:9`

Text Solution

AI Generated Solution

The correct Answer is:
To evaluate the arithmetic expression \( 85 - 55 + 18 \times 5 \div 9 \), we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). ### Step-by-Step Solution: 1. **Identify the expression**: \[ 85 - 55 + 18 \times 5 \div 9 \] 2. **Apply the order of operations (BODMAS/PEMDAS)**: - First, we perform the division and multiplication from left to right. 3. **Calculate the division**: \[ 18 \times 5 \div 9 \] - First, divide \( 5 \) by \( 9 \): \[ 5 \div 9 = \frac{5}{9} \text{ (but we can also calculate it as follows: } 18 \div 9 = 2 \text{, so we can multiply it by 5)} \] - Thus, \( 18 \div 9 = 2 \). 4. **Now multiply**: \[ 2 \times 5 = 10 \] 5. **Substitute back into the expression**: \[ 85 - 55 + 10 \] 6. **Perform the subtraction**: \[ 85 - 55 = 30 \] 7. **Now add**: \[ 30 + 10 = 40 \] ### Final Answer: \[ \text{The evaluated result is } 40. \]
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate the following arithmetic expression: 35+12-18xx3-:6

Evaluate the following arithmetic expression: 71-12-18-16

Evaluate the following arithmetic expression: 17-2+16-8+5

Evaluate the following arithmetic expression: 42-16-5-8-3

Evaluate the following arithmetic expression: 55-32-:4xx5+9

Evaluate the following arithmetic expressions: 12xx9+2-125-:5

Evaluate the following arithmetic expression: 99-:9-10+7xx5

Evaluate the following arithmetic expressions: 75-77-:11+9xx3

Evaluate the following arithmetic expressions: 45+22-:2-7xx8

Evaluate the following arithmetic expressions: 19-4+52-:4xx3