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Chapter 1: Problem 576

Translate and simplify. The quotient of 572 and 52

Short Answer

Expert verified
The quotient of 572 and 52 is 11.

Step by step solution

01

Understand the Problem

Identify the mathematical operation required. The word 'quotient' means division.
02

Set Up the Division

Set up the division of 572 by 52. This can be written as \(\frac{572}{52}\).
03

Perform the Division

Divide 572 by 52. Using long division, determine the exact quotient.
04

Simplify

Simplify the quotient if necessary. For this division, 572 divided by 52 equals approximately 11.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

division
When we talk about division, we refer to splitting a number into equal parts. Division is one of the basic arithmetic operations, and it goes hand-in-hand with multiplication. In our exercise, we need to divide 572 by 52 to find the quotient.
long division
Long division is a method used to divide larger numbers that helps break down the division process into simpler steps. To perform long division with 572 and 52, set up the problem with 572 inside the division bracket and 52 outside. Start by determining how many times 52 fits into the leading portion of 572. Work step-by-step through the digits, subtracting and bringing down the next digit until the quotient is complete.
quotient simplification
After performing the long division of 572 by 52, the result we obtain is approximately 11. Simplification in this context ensures that we present the final answer in its simplest form, without unnecessary decimal points. For example, if the result were a more complex fraction, we would reduce it to the simplest form possible. However, for our problem, 572 divided by 52 is already nicely simplified.
prealgebra
Prealgebra prepares students for the study of algebra. It involves fundamental math skills such as basic arithmetic operations, understanding fractions, and working with simple equations. The exercise of finding the quotient of 572 and 52 falls within prealgebra because it involves division, a foundational concept. Learning to approach such problems step-by-step, as outlined in our solution, helps build the skills needed for more complex algebraic problems in the future.

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