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Finding Fifteen. Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?
Fifteen Cards printable sheet. I have fifteen cards numbered 1 − 15. I put down seven of them on the table in a row. The numbers on the first two cards add to 15. The numbers on the second and third cards add to 20. The numbers on the third and fourth cards add to 23.
Number systems questions are provided here with solutions. In Class 9, we will come across the Number System chapter where we learn the basics of different types of numbers and their applications.
- 34 min
- In mathematics, a number system is defined as the way of expressing numbers. The number system provides a distinct way of expressing different type...
- The different types of numbers are: Natural Numbers Whole numbers Real Numbers Rational Numbers Irrational numbers Complex numbers
- The numbers are used to count the surrounding thing. Numbers are used for expressing money, time, date, and so on. Without numbers, we could not be...
- The four major types of number system are: Binary number system (base 2 number system) Octal number system (base 8 number system) Decimal number...
- The most common application of the number system is found in computer technology. It uses the binary number system. The base 2 number system is use...
Jul 29, 2013 · Fifteen. A numerical strategy game. The objective is to choose three numbers that will add up to 15. Click a number to begin. 1. 2. 3. 4. 5. 6. 7. 8. 9. Your choices will be collected on the left. The computer strategy should be:
- Base 10
- Binary (Base 2) Has only 2 Digits: 0 and 1
- Hexadecimal
- Vigesimal
- Sexagesimal
- How to Show The Base
We use "Base 10" every day ... it is our Decimal Number System. It has 10 digits: 0 1 2 3 4 5 6 7 8 9 But there are other bases!
We count like this: See how it is done in this little demonstration (press play): Also try Decimal, and try other bases like 3 or 4. It will help you understand how all these different bases work.
Dogs might understand hexadecimal well. It uses the digits 0 to 9, then the six letters A to F, like this:
With vigesimal, the convention is that I is not used because it looks like 1, so J=18 and K=19, as in this table:
Sexagesimal works like clockwork! There are no special codes, just the numbers 0 to 59, like we use with hours and minutes. The main advantage is that 60 can be evenly divided by 2, 3, 4, 5, 6, 10, 12, 15, 20 and 30, which makes it easy for us to divide up hours and minutes.
To show what base a number has, put the base in the lower right like this: 1012This shows that is in Base 2 (Binary) 3148This shows that is in Base 8 (Octal)
One to Fifteen. Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
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Number Systems Practice Problems - 3 Conversion Problems 5. Convert each of the following binary numbers to octal, decimal, and hexadecimal formats. (111011101) 2 to octal: 111 011 101 = (735) 8 to decimal: =(1x2 8) + (1x27) + (1x26) + (1x24) + (1x23) + (1x22) + (1x20) = 256 + 128 + 64 + 16 + 8 + 4 + 1 = (477) 10
