42.58-7.577=
A 35.003
B 35.523
C 36.523
D 50.157
The correct answer and explanation is:
To solve the expression 42.58−7.57742.58 – 7.577, follow these steps:
- Align the decimal points:
It’s important to line up the decimal points to make sure you’re subtracting correctly. In this case: 42.580−7.57742.580 – 7.577 Notice that I’ve added an extra zero to 42.5842.58 to match the number of decimal places in 7.5777.577. - Start from the rightmost digit:
Begin by subtracting each column starting from the thousandths place.- Thousandths: 0−70 – 7 is not possible, so we borrow from the hundredths place.
- Hundredths: 8−7=18 – 7 = 1 (after borrowing, the tens place becomes 4).
- Tenths: 5−5=05 – 5 = 0.
- Ones: 2−52 – 5 requires borrowing from the tens place, which changes the tens digit to 1.
- Tens: 4−74 – 7, borrowing again from the hundreds place, gives 12−7=512 – 7 = 5.
- Hundreds: 3−0=33 – 0 = 3.
- Final result:
After performing the subtraction, the result is 35.00335.003.
Thus, the correct answer is A. 35.003.
Explanation of the process:
Subtraction of decimal numbers requires careful attention to decimal alignment. When subtracting, if a digit in the minuend (the number being subtracted from) is smaller than the corresponding digit in the subtrahend (the number you’re subtracting), you borrow from the next left place value. For example, borrowing in the thousandths and hundredths places ensures that you can properly subtract each digit and arrive at the correct difference.
In this case, the subtraction was straightforward once the alignment was done correctly.