Loading…
Example 1.64 from Prealgebra, 1.5 Divide Whole Numbers
Divide Check by multiplying.
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
| Let's rewrite the problem to set it up for long division. | |
| First we try to divide 4 into 1. Since that won't work, we try 4 into 14. There are 3 fours in 14. We write the 3 over the 4. |
|
| Multiply the 3 by 4 and subtract this product from 14. | |
| Now bring down the 3 and repeat these steps. There are 5 fours in 23. Write the 5 over the 3. Multiply the 5 by 4 and subtract this product from 23. |
|
| Now bring down the 9 and repeat these steps. There are 9 fours in 39. Write the 9 over the 9. Multiply the 9 by 4 and subtract this product from 39. There are no more numbers to bring down, so we are done. The remainder is 3. |
|
| Check by multiplying. |
So is with a remainder of Our answer is correct.
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Divide. Then check by multiplying:
How did it go?