Fill in the missing number: A: 4_4*327= 3_88 B: 968 452__= 1582_8?
To fill in the missing number in each equation, we can use algebraic reasoning. Let's start with equation A:
A: 4_4*327 = 3_88
To determine the missing number, we need to find the value of the blank space.
Starting with the first number, 4_, multiplied by 327, we need to find what number replaces the blank space.
If we divide both sides of the equation by 327, we get:
(4_4 * 327) / 327 = 3_88 / 327
Simplifying this, we have:
4_4 = 3_88 / 327
Now, to find the value of 4_, we can isolate it by subtracting 3_88 divided by 327 from both sides of the equation:
4_4 - (3_88 / 327) = 0
Now, we can solve for the missing number by evaluating the left side of the equation. Keep in mind that the result should be the same as the right side, which is zero:
4_4 - (3_88 / 327) = 0
Since there is no number placed after 4 in the first term, we can assume that the missing number is zero:
44 - (3_88 / 327) = 0
Now, let's move on to equation B:
B: 968 452__ = 1582_8
Similar to the previous equation, we need to determine the value of the missing number.
Starting with the second number, 452__, subtracted from 968, we need to find what number replaces the blank space.
If we subtract 452__ from both sides of the equation, we get:
968 - 452__ = 1582_8 - 452__
Simplifying this, we have:
968 - 452__ = 1582_8
Now, to find the value of 452__, we can isolate it by subtracting 968 from both sides of the equation:
968 - 452__ - 968 = 1582_8 - 968
452__ - 968 = 1582_8 - 968
Now, we can solve for the missing number by evaluating the left side of the equation. Keep in mind that the result should be the same as the right side, which is 6140:
452__ - 968 = 1582_8 - 968
452__ - 968 = 6140
To find the missing number, we can add 968 to both sides of the equation:
452__ - 968 + 968 = 6140 + 968
452__ = 7108
Therefore, the missing number in equation B is 7108.