what percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

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What Percentage of Numbers from 1 to 70 Have 1 or 9 in the Unit’s Digit?

Quick Scoop

Ever wondered what share of numbers between 1 and 70 end in digits 1 or 9? It’s a tiny curiosity that shows how simple patterns emerge even in small sets of numbers.

The Pattern Hunt 🔍

Let’s check the unit’s digits (the rightmost digits) from 1 to 70.
We’re only interested in numbers that end with 1 or 9. The possible unit digits repeat every 10 numbers.
That means for every group of 10 sequential numbers , there will be:

• One number ending in 1 (like 1, 11, 21…)
• One number ending in 9 (like 9, 19, 29…)

So, in each group of 10, there are 2 such numbers.

Step-by-Step Breakdown

1. There are 70 numbers in total (from 1 to 70).
2. Every 10-number block gives us 2 hits (with units digit 1 or 9).
3. Number of 10-number blocks → 70÷10=770\div 10=770÷10=7.
4. Total numbers meeting our condition → 7×2=147\times 2=147×2=14.

Now, the percentage:

Percentage=1470×100=20%\text{Percentage}=\frac{14}{70}\times 100=20%Percentage=7014​×100=20%

Visual Summary

Range	Ends with 1	Ends with 9	Total
1–10	1	9	2
11–20	11	19	2
21–30	21	29	2
31–40	31	39	2
41–50	41	49	2
51–60	51	59	2
61–70	61	69	2
Total	14 numbers		20%

Final Verdict ✅

20% of the numbers from 1 to 70 have either 1 or 9 as their unit’s digit.
It’s a neat little numerical quirk—showing that patterns can remain perfectly regular even in small number ranges. Information gathered from public forums or data available on the internet and portrayed here.