Q1.

Question

While on vacation, the Jacobson family drove 312.8 miles the first day, 177.2 miles the second day, and 209 miles the third day. About how many miles did they travel in all?

Step-by-Step Solution

Verified

Answer

The distance traveled by Jacobson family on their vacation is 699 miles.

1Apply the concept of four-step process for problem solving.

A four-step plan is used to solve real-world problems with the help of mathematical tools.

Steps involved in the four-step plan:

Explore/Understand the problem
Devise a plan to solve the problem
Carry out the plan(solve)

Look back (check and interpret)

2Apply the concept of addition.

Two numbers with similar signs get added and the resulting number carries the similar sign. So, if two numbers with positive signs are added, the resulting sum will be positive as well.

3Example for the addition.

If two positive numbers 2 and 3 are being added, then the resulting sum will be $2 + 3 = 5$ , which is positive as well.

4Explore/Understand the problem.

The Jacobson family drove 312.8 miles the first day, 177.2 miles the second day, and 209 miles the third day.

An exact answer is required for this problem since the number of miles travelled each day is given and number of miles travelled in all is to be calculated.

5Devise a plan to solve the problem.

Total number of miles travelled in all will be given by the sum of number of miles travelled each day by the Jacobson family.

6Carry out the plan(solve).

Let the total number of miles traveled by the Jacobson family in all the days be, d.

Therefore,

$d = 312.8 + 177.2 + 209$

$\Rightarrow d = 699$

7Look back (check and interpret).

Since the total distance travelled is greater than the distance travelled each day, the answer is correct.

Thus, the Jacobson family travelled 699 miles in all.

Q1B.