Question

How many zeros are at the end of 458 · 885? Explain how you can answer this question without actually computing the number. (Hint: 10 = 2 · 5.) When this number is written in ordinary decimal form, each 0 at its end comes from a factor of

Answer 1

Answer:

1

Step-by-step explanation:

458 = 2 × 229

885 = 5 × 177

Factors 2 and 5 are appearing only once, hence it's a multiple of 10.

Which means 1 zero at the end