What is the remainder when 23 raised to 98 is divided by 98?

Thread starter viren_t2005
Start date Nov 29, 2005
Tags

Remainder

In summary, raising a number to a power means multiplying the number by itself a certain number of times. To divide a number by another number, you can use long division or a calculator and the remainder is the leftover amount. The remainder can be useful for finding patterns in numbers or calculating fractions. To calculate the remainder when a large number is raised to a power and divided by another number, you can use the remainder theorem or modular arithmetic. When 23 raised to 98 is divided by 98, the remainder is 1.

Nov 29, 2005

viren_t2005

Q. What is the remainder when 23 raised to 98 is divided by 98?Why?

Physics news on Phys.org

Nov 30, 2005

Tide

Science Advisor

Homework Helper

What, exactly, have you tried so far?

1. What does it mean to raise a number to a power?

Raising a number to a power means multiplying the number by itself a certain number of times. For example, 2 raised to the power of 3 would be 2 x 2 x 2 = 8.

2. How do you divide a number by another number?

To divide a number by another number, you can use long division or a calculator. Long division involves dividing the larger number by the smaller number and finding the remainder.

3. What is the significance of finding the remainder?

The remainder is the leftover amount after dividing a number by another number. It can be useful in many mathematical and real-world applications, such as finding patterns in numbers or calculating fractions.

4. How do you calculate the remainder when a large number is raised to a power and divided by another number?

To calculate the remainder in this situation, you can use the remainder theorem or modular arithmetic. The remainder theorem states that if a number is divided by another number, the remainder will be the same as if the first number was divided by the remainder of the second number. Modular arithmetic involves breaking down the numbers into smaller, more manageable parts and using the properties of remainders to calculate the final remainder.

5. What is the remainder when 23 raised to 98 is divided by 98?

The remainder when 23 raised to 98 is divided by 98 is 1. This can be calculated using the remainder theorem or modular arithmetic. 23 raised to any power will always have a remainder of 1 when divided by 98.