Complete the subtraction problem.

325 - 48 =
Use complete sentences to explain your steps. NOTE: You must show all work and write a step-by-step explanation to receive credit for this question.

3 answers

To solve the subtraction problem \( 325 - 48 \), we can follow these step-by-step instructions:

  1. Align the Numbers: First, write the numbers one above the other, aligning them by place value.

      325
    -  48
    
  2. Subtract the Units Place: Start with the rightmost column, which represents the units (or ones) place. We have 5 (from 325) minus 8 (from 48). Since 5 is less than 8, we cannot subtract directly. Therefore, we need to borrow 1 from the tens column (the 2 in 325).

    When we borrow 1 from the 2 in the tens place, it becomes 1, and we add 10 to the 5 in the units place:

    • So now we have 15 in the units place.
      31(5)
    -   48
    

    Now, we can subtract:

    • \( 15 - 8 = 7 \)
  3. Subtract the Tens Place: Next, move to the tens column. After borrowing, we have 1 (because we borrowed 1 from the 2) in the tens place of 325 and a 4 in the tens place of 48. Now we perform the subtraction:

    • \( 1 - 4 \) Again, since 1 is less than 4, we need to borrow 1 from the hundreds column (which is 3). The 3 becomes 2, and the 1 (which was in the tens) becomes 11 (adding ten).

    The new arrangement will look like this:

      2(11)(5)
    -   48
    

    Now we can subtract:

    • \( 11 - 4 = 7 \)
  4. Subtract the Hundreds Place: Lastly, we look at the hundreds column. After borrowing, we have 2 in the hundreds place of 325 and nothing in the hundreds place of 48.

    • Since we are only subtracting 0, we can write:
    • \( 2 - 0 = 2 \)
  5. Combine the Results: Now that we have completed the subtraction in each place value, we can combine our results to write the answer. From the hundreds place, we have 2; from the tens place, we have 7; and from the units place, we have 7.

Thus, \( 325 - 48 = 277 \).

The final answer is \( 277 \).

Josh bikes 135 miles per month. How many miles does he bike in one year? (One year has 12 months.) NOTE: You must show all work to receive credit for this question.

To calculate how many miles Josh bikes in one year, we will multiply the number of miles he bikes per month by the number of months in a year.

  1. Determine Miles Biked Per Month: Josh bikes 135 miles per month.

  2. Determine Number of Months in a Year: There are 12 months in a year.

  3. Set Up the Multiplication: We will multiply the miles per month by the number of months: \[ \text{Total miles in a year} = \text{Miles per month} \times \text{Number of months} \] \[ \text{Total miles in a year} = 135 \text{ miles/month} \times 12 \text{ months} \]

  4. Perform the Multiplication: We multiply \( 135 \) by \( 12 \): \[ 135 \times 12 \]

    To break this down:

    • First, we can split \( 135 \) into \( 100 + 30 + 5 \) for easier calculation.
    • Then calculate each part:
      • \( 100 \times 12 = 1200 \)
      • \( 30 \times 12 = 360 \)
      • \( 5 \times 12 = 60 \)

    Now, we add those results together: \[ 1200 + 360 + 60 = 1620 \]

  5. Final Result: Therefore, the total number of miles Josh bikes in one year is \( 1620 \) miles.

The final answer is \( 1620 \) miles.