How to Interpret Remainders of Division Two-digit Numbers By One-digit Numbers

When you divide two-digit numbers by one-digit numbers, you may often end up with a remainder. This means that the two-digit number cannot be divided evenly by the one-digit number.

How to Interpret Remainders of Division Two-digit Numbers By One-digit Numbers

A Step-by-step Guide to Interpreting Remainders of Division Two-digit Numbers By One-digit Numbers

Here’s a step-by-step guide using an example problem:

Step 1: Perform the Division

The first step is to perform the division. Divide 67 by 8.

The Absolute Best Book for 4th Grade Students

Step 2: Calculate the Quotient and Remainder

When you divide 67 by 8, you get a quotient of 8 and a remainder of 3. This means that you can distribute 67 items into 8 equal groups with 3 items left over.

Step 3: Interpret the Quotient

The quotient is the number of whole times that 8 can fit into 67. In other words, you can make 8 full groups of 8 from the number 67.

Step 4: Interpret the Remainder

The remainder is the amount left over after all the full groups of 8 have been taken out of 67. So, after making 8 groups of 8, you would have 3 left over.

A Perfect Book for Grade 4 Math Word Problems!

Step 5: Contextualize the Remainder

Depending on the context of the problem, the remainder can have different interpretations. For instance, if you were trying to equally distribute 67 candies among 8 children, the remainder of 3 would represent the candies that could not be evenly distributed. Each child would get 8 candies, and 3 candies would be left over.

Step 6: Express the Result in Different Ways

Depending on your needs, you can express the result of the division in different ways. For example:

  • As a mixed number: 8 remainder 3 can be written as \(8\frac{3}{8}\).
  • As a decimal: Perform further division to turn the remainder into a decimal. Divide the remainder of 3 by the divisor 8 to get 0.375. So, 67 divided by 8 is 8.375.
  • As a fraction: The remainder can be written as a fraction over the divisor. So, 8 remainders 3 would be \(8\frac{3}{8}\).

Remember, the interpretation of the remainder should make sense in the context of the problem you’re solving.

The Best Math Books for Elementary Students

Related to This Article

What people say about "How to Interpret Remainders of Division Two-digit Numbers By One-digit Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

Leave a Reply

51% OFF

Limited time only!

Save Over 51%

Take It Now!

SAVE $15

It was $29.99 now it is $14.99

Mastering Grade 4 Math: The Ultimate Step by Step Guide to Acing 4th Grade Math