Home
Class 6
MATHS
For every question, four probable answer...

For every question, four probable answers bear in letters (A), (B), (C) and (D) are given. Only one out of these is correct. You have to choose the correct answer.
Simplified form of expression
`{(0.25 + 0.37 - 0.12) xx 0.4 + 0.8} - 0.37 + 2.13 - 1}` is

A

1.36

B

1.57

C

2.76

D

1.76

Text Solution

AI Generated Solution

The correct Answer is:
To simplify the expression \({(0.25 + 0.37 - 0.12) \times 0.4 + 0.8} - 0.37 + 2.13 - 1\), we will follow the BODMAS rule (Brackets, Orders, Division and Multiplication, Addition and Subtraction). ### Step-by-Step Solution: 1. **Calculate the expression inside the brackets**: \[ 0.25 + 0.37 - 0.12 \] - First, add \(0.25\) and \(0.37\): \[ 0.25 + 0.37 = 0.62 \] - Then, subtract \(0.12\) from \(0.62\): \[ 0.62 - 0.12 = 0.50 \] 2. **Multiply the result by \(0.4\)**: \[ 0.50 \times 0.4 = 0.20 \] 3. **Add \(0.8\) to the result**: \[ 0.20 + 0.8 = 1.00 \] 4. **Now substitute back into the expression**: \[ 1.00 - 0.37 + 2.13 - 1 \] 5. **Perform the subtraction and addition step by step**: - First, subtract \(0.37\) from \(1.00\): \[ 1.00 - 0.37 = 0.63 \] - Next, add \(2.13\): \[ 0.63 + 2.13 = 2.76 \] - Finally, subtract \(1\): \[ 2.76 - 1 = 1.76 \] ### Final Answer: The simplified form of the expression is \(1.76\).
Promotional Banner