Question

in this section, youll solve word problems by applying regrouping to subtract multi-digit numbers.

youre working with mya, a sales associate at the dealership. the purchase price of the car is $23,829, the additional upgrade options cost $1,099, and the floor mats cost $65. this brings the total purchase price to $24,993, which is within your $25,000 budget.

now, you want to find the difference between your budget limit and the total cost of the car, including all upgrades and accessories.

explain to mya how you would use regrouping to subtract and find the difference.

$\bigcirc$ to find the difference by regrouping, borrow 2 thousand, regrouping 10 hundreds; borrow 2 hundred, regrouping 10 tens; and borrow 2 tens, regrouping 10 ones.

$\bigcirc$ to find the difference by regrouping, borrow 1 thousand, regrouping 10 hundreds; borrow 1 hundred, regrouping 10 tens; and borrow 1 ten, regrouping 10 ones.

$\bigcirc$ to find the difference by regrouping, borrow 1 thousand, regrouping 9 hundreds; borrow 1 hundred, regrouping 9 tens; and borrow 1 ten, regrouping 9 ones.

$\bigcirc$ to find the difference by regrouping, borrow 1 thousand, regrouping 1 hundred; borrow 1 hundred, regrouping 1 ten; and borrow 1 ten, regrouping 1 one.

Explanation:

Step1: Identify values for subtraction

Budget: $\$25,000$, Total cost: $\$24,993$. Calculate $\$25,000 - \$24,993$.

Step2: Align digits by place value

$$\begin{align*} &\phantom{0}25,000\\ -&24,993\\ \hline \end{align*}$$

Step3: Regroup thousands place

Borrow 1 thousand from 5 thousands, turn to 10 hundreds. Now thousands place: $4$, hundreds place: $10$.

Step4: Regroup hundreds place

Borrow 1 hundred from 10 hundreds, turn to 10 tens. Now hundreds place: $9$, tens place: $10$.

Step5: Regroup tens place

Borrow 1 ten from 10 tens, turn to 10 ones. Now tens place: $9$, ones place: $10$.

Step6: Subtract each place value

Ones: $10-3=7$, Tens: $9-9=0$, Hundreds: $9-9=0$, Thousands: $4-4=0$, Ten-thousands: $2-2=0$. Result: $7$.

Answer:

To find the difference by regrouping, borrow 1 thousand, regrouping 10 hundreds; borrow 1 hundred, regrouping 10 tens; and borrow 1 ten, regrouping 10 ones.