The ruler below has eleven marks and can be used to measure lengths from one unit to twelve units. design a ruler which can be used to measure all the lengths from one unit to twelve units but this time put the minimum possible number of marks on the ruler.
Answers
For this you will be needing the four marks.
But if you had just three marks which are located at the A inches
A + B Inches and A + B + C inches (this is from the edge of the ruler and here A + B + C + D = 12)
A, B, C, D, A + B, B + C, C + D, A + B + C, B + C + D, A + B + C + D
IF we look at this we only came up with 10 numbers, if these numbers were distinctive if then we couldn't make the numbers 1-12
In order to make it with four marks.
Put the marks as 1,3,5,11
1: 1 mark
2: Space from 1 to 3
3: 3 Mark
4: Space from 1 to 5
5: 5 Mark
6: Space from 5 to 11
7: Space from 5 to 12 (this will be the edge of the ruler)
8: Space from 3 to 11
9: Space from 3 to 12
10: Space from 1 to 11
11: Mark at 11
12: Whole Ruler
Answer:
12 units long, marks at 1,4 ,5 and 10
Step-by-step explanation:
For this you will be needing the four marks.
But if you had just three marks which are located at the A inches
A + B Inches and A + B + C inches (this is from the edge of the ruler and here A + B + C + D = 12)
A, B, C, D, A + B, B + C, C + D, A + B + C, B + C + D, A + B + C + D
IF we look at this we only came up with 10 numbers, if these numbers were distinctive if then we couldn't make the numbers 1-12
In order to make it with four marks.
Put the marks as 1,3,5,11
1: 1 mark
2: Space from 1 to 3
3: 3 Mark
4: Space from 1 to 5
5: 5 Mark
6: Space from 5 to 11
7: Space from 5 to 12 (this will be the edge of the ruler)
8: Space from 3 to 11
9: Space from 3 to 12
10: Space from 1 to 11
11: Mark at 11
12: Whole Ruler
