Home
Class 14
MATHS
? = 0.8 + 0.88 + 0.888 + 0.8888 + 0.8888...

? = 0.8 + 0.88 + 0.888 + 0.8888 + 0.88888

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question \( ? = 0.8 + 0.88 + 0.888 + 0.8888 + 0.88888 \), we will add these decimal numbers step by step. ### Step 1: Align the Numbers First, we will align the numbers by their decimal points for easier addition: ``` 0.80000 + 0.88000 + 0.88800 + 0.88880 + 0.88888 ``` ### Step 2: Add the Numbers Column by Column Now, we will add the numbers starting from the rightmost column (the smallest decimal place) to the left. 1. **Rightmost Column (5th decimal place)**: - \( 0 + 0 + 0 + 0 + 8 = 8 \) 2. **4th Decimal Place**: - \( 0 + 0 + 0 + 8 + 8 = 16 \) - Write down 6 and carry over 1. 3. **3rd Decimal Place**: - \( 0 + 8 + 8 + 8 + 8 = 32 \) - Add the carry over: \( 32 + 1 = 33 \) - Write down 3 and carry over 3. 4. **2nd Decimal Place**: - \( 8 + 8 + 8 + 8 + 0 = 32 \) - Add the carry over: \( 32 + 3 = 35 \) - Write down 5 and carry over 3. 5. **1st Decimal Place**: - \( 0 + 0 + 0 + 0 + 0 = 0 \) - Add the carry over: \( 0 + 3 = 3 \) ### Step 3: Combine the Results Now, we combine the results from each column: ``` 3.58868 ``` ### Final Result Thus, \( ? = 3.58868 \).
Promotional Banner

Topper's Solved these Questions

  • SIMPLIFICATION

    MAHENDRA|Exercise EXERCISE|75 Videos
  • SIMPLE INTEREST & COMPOUND INTEREST

    MAHENDRA|Exercise EXERCISE|30 Videos
  • SPEED, TIME AND DISTANCE

    MAHENDRA|Exercise EXERCISE|25 Videos

Similar Questions

Explore conceptually related problems

8 + 88 + 888 + 8888+ 88888

0.4 x + 0.3 y = 1.7 , 0.7 x - 0.2 y = 0.8

Find the sum of n terms of 0.8 + 0.88 + 0.888 + …

0.25xx0.8 = ?

Express the following in the form P/q where p and q are integers and q ne 0. (i) 0.2 , (ii) 0.888…. , (iii) 5.bar2 (iv) 0. bar(001) , ( v) 0.2555…. ,(vi) 0.1bar(34) (vii) 0.00323232….. ,(vii) 0.404040…

How many '0' are followed by an even number and preceded by an odd number in the following series ? 3 0 2 5 0 3 2 0 3 2 0 2 7 0 4 0 5 8 0 7 0 4 2 0 8

8 ml is equal to 0.8 L (b) 0.08 L 0.008 L (d) None of these

0.5, 0.55, 0.65, 0.8 , ?

Evaluate ((0.2 xx 0.36 + 0.8 xx 0.36)/(0.18))