Example Question - subtraction calculation
Here are examples of questions we've helped users solve.
Mixed Units Subtraction Calculation
The subtraction problem given is in mixed units (yards, feet, and inches) and it asks to subtract 1 foot 11 inches from 2 yards 2 feet 6 inches. To solve this, let's first convert everything to inches for uniformity. Recall that: - 1 yard = 3 feet - 1 foot = 12 inches First, convert the measurements: - 2 yards = 2 × 3 feet = 6 feet - 2 feet remains as is - 6 inches remains as is So the total for 2 yards 2 feet 6 inches in inches is: - 6 feet + 2 feet = 8 feet - 8 feet × 12 inches/foot = 96 inches - Add the 6 inches to 96 inches to get a total of 102 inches. Now, let's convert 1 foot 11 inches to inches: - 1 foot = 12 inches - 11 inches remains as is Add these two to get the total inches for 1 foot 11 inches: - 12 inches + 11 inches = 23 inches Now let's subtract 23 inches from 102 inches to get the solution: - 102 inches - 23 inches = 79 inches Finally, convert 79 inches back to yards, feet, and inches: - 79 inches ÷ 12 inches/foot = 6 feet with 7 inches remainder (since 79 = 6 × 12 + 7) - 6 feet can be represented as 2 yards because 6 feet ÷ 3 feet/yards = 2 yards The final answer is: - 2 yards 0 feet 7 inches
Base 7 Subtraction Calculation
The question asks to determine the difference between 6442 in base 7 and 5603 in base 7. To perform the subtraction, we need to subtract each digit, starting from the rightmost and moving to the left. If a digit in the subtrahend is larger than the digit in the minuend, we need to borrow from the next left digit in the minuend. Starting from the ones place: 2 (base 7) - 3 (base 7) cannot be done directly because 2 is less than 3, so we borrow from the next digit. 12 (base 7) - 3 (base 7) = 6 Moving to the tens place, since we have borrowed 1 from it: 3 (base 7) becomes 2 (base 7) now. 4 (base 7) - 0 (base 7) remains as is, since there's nothing to subtract. 2 (base 7) - 2 (base 7) = 0 Next, the hundreds place: 4 (base 7) - 6 (base 7) cannot be done directly, so we borrow from the next digit. 14 (base 7) - 6 (base 7) = 8 (since when we borrow in base 7, we're borrowing a group of 7, 7 + 4 = 11, but we're in base 7, so it reads as 14). For the thousands place: 6 (base 7) becomes 5 (base 7) because we just borrowed 1. 5 (base 7) - 5 (base 7) = 0 Write down the digits we've calculated from right to left to find the answer: (0)8076 (base 7) Therefore, the difference is 8076 in base 7.
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