Interpreting Remainders

Front

What is the remainder in division?

Back

The remainder is the amount left over after division when one number cannot be evenly divided by another.

Front

How do you calculate the remainder when dividing two numbers?

Back

To calculate the remainder, divide the first number by the second number and take the integer part of the quotient, then multiply it by the divisor and subtract from the dividend.

Front

In the context of distributing items, what does it mean to distribute evenly?

Back

Distributing evenly means dividing items into groups so that each group has the same number of items, with no items left over.

Front

What is the formula to find the number of groups when distributing items?

Back

The formula is: Number of groups = Total items ÷ Items per group.

Front

If a farmer has 100 pounds of grapes and wants to pack them into bags with no remainder, how many pounds should he put in each bag if he has 10 bags?

Back

He should put 10 pounds in each bag.

Front

What is the significance of the remainder in real-life applications?

Back

The remainder can indicate leftover items that cannot be evenly distributed, which is important in scenarios like packing, distributing, or organizing.

Front

How can you determine how many items will be in the last group when distributing unevenly?

Back

To find the number of items in the last group, calculate the total items modulo the number of groups.

Front

What does it mean if a division problem has no remainder?

Back

It means that the dividend is evenly divisible by the divisor, resulting in whole groups with no leftover items.

Front

In the example of Mrs. Holstegge with 170 M&M's, how do you find out how many she can eat?

Back

Divide 170 by 7 to find how many full cupcakes she can make, then multiply the number of cupcakes by 7 and subtract from 170 to find the remainder.

Front

What is the relationship between division and multiplication in finding remainders?

Back

Division can be thought of as the inverse of multiplication; the remainder is what is left after multiplying the quotient by the divisor.