Home
Class 6
MATHS
Evaluate the following : (i) (-526)-(...

Evaluate the following :
(i) `(-526)-(-217)`
(ii) `(-239)-(+1573)`.

Text Solution

AI Generated Solution

The correct Answer is:
Let's evaluate the given expressions step by step. ### (i) Evaluate `(-526) - (-217)` 1. **Identify the expression**: We have `-526 - (-217)`. 2. **Apply the rule for subtracting a negative number**: Subtracting a negative number is the same as adding its positive counterpart. Therefore, we can rewrite the expression as: \[ -526 + 217 \] 3. **Perform the addition**: Now we need to add `-526` and `217`. Since `-526` is negative and `217` is positive, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. \[ 526 - 217 = 309 \] Since `-526` has the larger absolute value, the result will be negative: \[ -309 \] 4. **Final answer for (i)**: \[ (-526) - (-217) = -309 \] ### (ii) Evaluate `(-239) - (+1573)` 1. **Identify the expression**: We have `-239 - (+1573)`. 2. **Apply the rule for subtracting a positive number**: Subtracting a positive number means we will be moving further into the negative. Therefore, we can rewrite the expression as: \[ -239 - 1573 \] 3. **Perform the addition**: Now we need to add `-239` and `-1573`. Since both numbers are negative, we simply add their absolute values: \[ 239 + 1573 = 1812 \] The result will also be negative since both numbers are negative: \[ -1812 \] 4. **Final answer for (ii)**: \[ (-239) - (+1573) = -1812 \] ### Summary of Answers: - (i) `(-526) - (-217) = -309` - (ii) `(-239) - (+1573) = -1812`
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate the following : (i) (+129)+(+274) (ii) (-78)+(-125) .

Evaluate the followings : (i) i^(23) (ii) i^(-97)

Evaluate the following : (i) (-48)+85 (ii) 136+(-234) .

Evaluate the following: (i) 7! - 6! (ii) (8!)/(6!)

Evaluate the following : (i) ""^(7)C_(5) (ii) ""^(105)C_(102)

Evaluate each of the following (i) ((11)/(12))^3 (ii) (3/4)^(-3)

Evaluate each of the following (i) 5^2\xx\ 5^4 (ii) (3^2)^3

Convert the following: a. to (i) and (ii)

Evaluate each of the following: (i) (103)^3 (ii) (98)^3 (iii) (9. 9)^3

Using square root table, find the square roots of the following : (i) (99)/(144) (ii) (57)/(100)