1. ## Fifth Grade Division

My nephew was given the following homework:

What is 500 ÷ 66?

The calculator tells me that 7.5757575758 is the answer. The teacher wants the class to work it put by hand.

2. ## Re: Fifth Grade Division

Originally Posted by harpazo
My nephew was given the following homework:

What is 500 ÷ 66?

The calculator tells me that 7.5757575758 is the answer. The teacher wants the class to work it put by hand.
Here is a decent video.

-Dan

3. ## Re: Fifth Grade Division

66 is pretty close to 70 so I would try 7 as a "trial divisor": 7 divides into 50 7 times. 7*66 is 7*66= 462. 500- 462= 38 so we have, so far, 7 as quotient and remainder 38. Bringing down a "0" gives 380. 7 divides into 38 5 times. 5*66= 330. 380- 330= 50. So far we have 7.5 with remainder 50. Bringing down a "0" makes that 500, the number we started with. Continuing will just repeat the "75" again. 500/66= 5.757575757... with the "57" repeating. (Which is NOT "7.5757575758".)

4. ## Re: Fifth Grade Division

Originally Posted by HallsofIvy
66 is pretty close to 70 so I would try 7 as a "trial divisor": 7 divides into 50 7 times. 7*66 is 7*66= 462. 500- 462= 38 so we have, so far, 7 as quotient and remainder 38. Bringing down a "0" gives 380. 7 divides into 38 5 times. 5*66= 330. 380- 330= 50. So far we have 7.5 with remainder 50. Bringing down a "0" makes that 500, the number we started with. Continuing will just repeat the "75" again. 500/66= 5.757575757... with the "57" repeating. (Which is NOT "7.5757575758".)
We can say that 500/66 = 7.57 with a bar above the numbers 57 to show repetition. Correct?

5. ## Re: Fifth Grade Division

Originally Posted by topsquark
Here is a decent video.

-Dan
I decided to reduce 500/66 to 250/33 and got the same answer: 7.57 with a bar above 57 to show repetition.

6. ## Re: Fifth Grade Division

Originally Posted by harpazo
We can say that 500/66 = 7.57 with a bar above the numbers 57 to show repetition. Correct?
Yes, that is correct.

7. ## Re: Fifth Grade Division

Originally Posted by HallsofIvy
Yes, that is correct.
Very good. I still recall my elementary school math.

8. ## Re: Fifth Grade Division

It's not easy is it?

9. ## Re: Fifth Grade Division

I rarely play with grades 1 through 5 math.