Home
Class 7
MATHS
Simplify : 555 - 55.5 - 5.555...

Simplify :
555 - 55.5 - 5.555

Text Solution

AI Generated Solution

The correct Answer is:
To simplify the expression \( 555 - 55.5 - 5.555 \), we can follow these steps: ### Step 1: Rewrite the Expression We start with the expression: \[ 555 - 55.5 - 5.555 \] We can rearrange it to group the subtractions: \[ 555 - (55.5 + 5.555) \] ### Step 2: Add the Numbers in the Parentheses Now, we need to calculate \( 55.5 + 5.555 \). To do this, we can align the numbers by their decimal points: ``` 55.500 + 5.555 --------- ``` Now, we can add them column by column: - In the thousandths place: \( 0 + 5 = 5 \) - In the hundredths place: \( 0 + 5 = 5 \) - In the tenths place: \( 5 + 5 = 10 \) (write down 0 and carry over 1) - In the units place: \( 5 + 1 + 0 = 6 \) So, the sum is: \[ 55.500 + 5.555 = 61.055 \] ### Step 3: Substitute Back into the Expression Now we substitute back into our expression: \[ 555 - 61.055 \] ### Step 4: Perform the Subtraction Next, we perform the subtraction: ``` 555.000 - 61.055 ----------- ``` Aligning the numbers by their decimal points, we subtract: - In the thousandths place: \( 0 - 5 \) (we need to borrow, so it becomes \( 10 - 5 = 5 \)) - In the hundredths place: \( 0 - 5 \) (again, we need to borrow, so it becomes \( 10 - 5 = 5 \)) - In the tenths place: \( 4 - 1 = 3 \) (after borrowing) - In the units place: \( 4 - 6 \) (we need to borrow, so it becomes \( 14 - 6 = 8 \)) - In the hundreds place: \( 5 - 0 = 4 \) So, the result of the subtraction is: \[ 493.945 \] ### Final Answer Thus, the simplified result of \( 555 - 55.5 - 5.555 \) is: \[ \boxed{493.945} \]
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Simplify: 3+5/(-7)

Simplify : (4x - 5y)(5x - 4y)

Simplify : (5a + 5b - c)(2b - 3c)

Simplify: (155\ xx\ 155\ xx\ 155-55\ xx\ 55\ xx\ 55)/(155\ xx\ 155+155\ xx\ 55+55\ xx\ 55)

Simplify: 0+(-3)/5

Simplify: 1+(-4)/5

simplify: 6 1/6-\ 5 1/5\

Simplify : (3) / ( 5- sqrt3) + (2)/(5+ sqrt3)

Simplify : ( 5- sqrt(10 ))/( 5+ sqrt( 10 ) ) -( 5+ sqrt(10 ))/( 5-sqrt(10))

Simplify: 5/8+2/5+3/4