Problem solving

Question

David took 58 miles to ride to the shop. He took 43 times as far to visit his fathers house,, how far did he take to ride to his fathers house?

Answer 1

Wow his father lives far away

58*43 = 2494

Answer 2

Hi Tracey! Ok, to answer your problem, let's first take a closer look at the words IN the word problem. There is always a magical or key word hiding in every math problem that lets us know what type of operation is taking place. In this problem, that magical word is 'times'. If David took 58 miles to ride to the shop, and took 43 times as far to visit his father, then David traveled 58 TIMES 43 to visit his father or 53 x 43. So how far did he ride to his dad's place? 58 x 43 = ? . This is a standard 2-digit multiplication problem with carrying. So let's solve it as follows: 58

x 43

?

1. Multiply 3 times 58 starting with 3 x 8:

5 | 8

x 4 | 3

| 24

2. Carry your 2 in '24' :

2

5 | 8

x 4 | 3

| 4

3. Cross multiply 3 x 5 & add to the '2' you carried over:

5 | 8 5 | 8

x 4 | 3 ==> x 4 | 3

(3x5)+2 | 4 17 | 4

4. Bring down your 0 place holder in the 1's column:

58

x 43

174

+ 0

4. Now, multiply 4 across 58, starting with 4 x 8:

5 8

x 4 3

17 | 4

+ 32 | 0

5. Carry your 3 :

3

5 8

x 4 3

1 7| 4

+ 2 | 0

6. Multiply 4 x 5 & add it to the 3 you carried over:

3

5 8 5 8 58

x 4 3 x 4 3 x 43

1 | 7 | 4 ==> 1 | 7| 4 ==> 174

+ (4x5)+3 | 2 | 0 + 23 | 2 | 0 + 2320

7. Add the final 2 numbers 174 + 2320:

58

x 43

174

+ 2320

2494

And so your Answer is 2,494 miles. That is how many miles it took David to get to his father's house. That's a very far way to drive! Almost the distance from New York to California! David was probably driving for some days! I hope this helped. Happy problem solving.