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Chapter 2: Problem 93

Briefly explain what it means for a divisor to divide evenly into a dividend.

Short Answer

Expert verified
A divisor divides evenly into a dividend if, after dividing the dividend by the divisor, there are no remainders and the quotient is a whole number. This means that when the dividend is distributed into groups equal to the divisor, each group has exactly the same quantity, with no items left over.

Step by step solution

01

Understand the basic terms

In a division operation, there are three key components: the dividend, the divisor, and the quotient. The dividend is the number that is being divided. The divisor is the number by which the dividend is being divided. The quotient is the result of the division operation.
02

Understand what division represents

Basically, division is a way of distributing a certain quantity equally. If you have a bunch of items (the dividend) and you evenly distribute them among a certain number of groups (the divisor), the number of items in each group after the distribution (the quotient) is the result of the division.
03

Understand even division

When a divisor divides evenly into a dividend, this means that after dividing the dividend into equal groups (as per the divisor), there are no 'left over' or remainder items. That is, all items can be accurately and completely distributed among all the groups without any remaining. The concept of even division underlines such a situation. In mathematical terms, if a dividend is divided by a divisor and the result is a whole number (not a fraction or decimal), it means the divisor divides evenly into the dividend.

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