a. 10 months
b. $18,000
Further explanation
We will solve the problem of rounding to estimate the product.
Problem (a)
- Raphael wants to buy a new car.
- He needs a down payment of $3,000.
- If he saves $340 each month, about how many months will it take him to save the down payment?
The Process
Let's round out one of the factors then arrange multiplication.
[tex]\boxed{ \ 340 \approx 300 \ }[/tex]
Let the number of months as m.
[tex]\boxed{ \ 300 \times m = 3,000 \ }[/tex]
[tex]\boxed{ \ 3 \times 100 \times m = 3 \times 100 \ times 10 \ }[/tex]
[tex]\boxed{\boxed{ \ m = 10 \ }}[/tex]
It will take him about 10 months to save the down payment.
Problem (b)
- His new car payment will be $288 each month for five years.
- What is the total of these payments?
The Process
Let's change five years into months.
[tex]\boxed{ \ 1 \ year = 12 \ months \rightarrow 5 \ years = 5 \times 12 = 60 \ months \ }[/tex]
Let's round out one of the factors then arrange multiplication.
[tex]\boxed{ \ 288 \approx 300 \ }[/tex]
The total of these payments is [tex]\boxed{ \ 300 \times 60 = ? \ }[/tex]
[tex]\boxed{ \ = (3 \times 100) \times (6 \times 10) \ }[/tex]
[tex]\boxed{ \ = (3 \times 6) \times (100 \times 10) \ }[/tex]
[tex]\boxed{ \ = 18 \times 1000 \ }[/tex]
[tex]\boxed{\boxed{ \ 18,000 \ }}[/tex]
The total of these payments is about $18,000.
Learn more
- What is the area of 30 such stones? https://brainly.com/question/360871
- Find the product of the number and 500 https://brainly.com/question/251349
- About how many tickets do they sell for an entire season of home games? https://brainly.com/question/6326708
Keywords: rounding, Raphael wants to buy a new car, a down payment of $3,000, he saves $340 each month, about how many months, $288, five years, the total of these payments, multiplication
