Home
Class 7
MATHS
By how much should 59.654 be decreased t...

By how much should `59.654` be decreased to get `48.5678` ?

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how much `59.654` should be decreased to get `48.5678`, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Problem**: We need to find out how much we should subtract from `59.654` to arrive at `48.5678`. This means we are looking for a number `x` such that when we subtract it from `59.654`, we get `48.5678`. 2. **Set Up the Equation**: We can express this mathematically as: \[ 59.654 - x = 48.5678 \] 3. **Rearrange the Equation**: To find `x`, we need to isolate it on one side of the equation. We can do this by moving `x` to the right side and `48.5678` to the left side: \[ x = 59.654 - 48.5678 \] 4. **Perform the Subtraction**: Now we will subtract `48.5678` from `59.654`. We can align the numbers for easier subtraction: \[ \begin{array}{r} 59.6540 \\ - 48.5678 \\ \hline \end{array} \] Starting from the rightmost digit: - 0 - 8: We need to borrow, so it becomes 10 - 8 = 2 (and we borrow 1 from the 4, making it 3). - 3 - 7: We need to borrow again, so it becomes 13 - 7 = 6 (and we borrow 1 from the 6, making it 5). - 5 - 6: We need to borrow again, so it becomes 15 - 6 = 9 (and we borrow 1 from the 9, making it 8). - 9 - 5 = 4. - 5 - 4 = 1. So, putting it all together: \[ 59.654 - 48.5678 = 11.0862 \] 5. **Final Answer**: Therefore, `59.654` should be decreased by `11.0862` to get `48.5678`. ### Conclusion: Thus, the answer is: \[ \text{59.654 should be decreased by } 11.0862 \text{ to get } 48.5678. \]
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

By how much should 59. 71\ be decreased to get 34. 58 ?

By how much should 27.354 be increased to get 52?

By how much should 17.45 be decreased to get 7.9702 ?

By how much should 34. 79 be increased to get 70. 15 ?

To what power (-2) should be raised to get 16?

A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance?

To what power (-3) should be raised to get -243?

What should be added to 63.47 to get 91 ?

The efficiency of a carnot engine is 40%, whose sink is at a temperature of 300 K. By how much should be temperature of the source be increased be get an efficiency of 60% ?

100gm of an aq. solution of sugar contains 50% sugar by mass. How much water should be evaporated get 60% sugar solution by mass?