are these correct? compare. write <,>, or =
-4-(-6) > -7-3
|-51| >|0|
3-(-3) > 0-(-3)
-3-8 = -22 + 11
|10 + 5| < |-15|
All correct except for the last one.
|10+5|=15
|-15|=15
So the sign should be...
:(
check again!
To compare the expressions and determine if they are correct, let's simplify each expression step by step.
1. -4 - (-6) > -7 - 3
First, we simplify the expressions inside the parentheses:
-4 - (-6) becomes -4 + 6 = 2
-7 - 3 becomes -10
So the expression becomes:
2 > -10
Since 2 is indeed greater than -10, the answer is true: 2 > -10
2. |-51| > |0|
To compare absolute values, we remove the bars and compare the actual numbers:
|-51| becomes 51
|0| remains 0
So the expression becomes:
51 > 0
Since 51 is greater than 0, the answer is true: 51 > 0
3. 3 - (-3) > 0 - (-3)
First, we simplify the expressions inside the parentheses:
3 - (-3) becomes 3 + 3 = 6
0 - (-3) becomes 0 + 3 = 3
So the expression becomes:
6 > 3
Since 6 is indeed greater than 3, the answer is true: 6 > 3
4. -3 - 8 = -22 + 11
Both sides of the equation need to be simplified:
-3 - 8 becomes -11
-22 + 11 becomes -11 as well
So the equation becomes:
-11 = -11
Since both sides of the equation are equal, the answer is true: -11 = -11
5. |10 + 5| < |-15|
To compare absolute values, we remove the bars and compare the actual numbers:
|10 + 5| becomes |15| which is 15
|-15| remains 15
So the expression becomes:
15 < 15
Since 15 is not less than 15, the answer is false: 15 < 15
To summarize:
1. 2 > -10 (True)
2. 51 > 0 (True)
3. 6 > 3 (True)
4. -11 = -11 (True)
5. 15 < 15 (False)