Problem 11 Solve. Be sure to check. $$ ... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 1: Problem 11

Solve. Be sure to check. $$ t=125 \div 5 $$

Short Answer

Expert verified

t = 25

Step by step solution

Understand the Problem

The problem asks to solve the equation for the variable t. The equation provided is a simple division problem.

Set Up the Equation

Write down the given equation: $ t = 125 \div 5 $

Perform the Division

Calculate the division step-by-step. Divide 125 by 5: $ 125 \div 5 = 25 $

Confirm the Solution

Check the result by multiplying the quotient by the divisor to see if it matches the dividend: $ 25 \times 5 = 125 $Since the product is 125, which matches the original dividend, the solution is verified.

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Key Concepts

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

Problem-Solving

Learning to solve math problems is an essential skill that helps us in our daily lives. Understanding the problem is the first and most important step. In this exercise, we need to solve for the variable t. The equation given is a simple division problem made up of three parts:

The dividend (number to be divided): 125
The divisor (number to divide by): 5
The quotient (the result of the division): t

Step-by-step strategy is crucial in problem-solving. First, identify and understand what needs to be done. Here, we recognize that t is what we find when 125 is divided by 5.

Division Calculation

Division breaks a number into a specified number of equal parts. To solve our problem, we follow these steps:

Write down the equation: t = 125 梅 5
Perform the division: 125 divided by 5

Breaking it down: start by knowing that 125 consists of one hundred and twenty-five. Divide this by 5. An easy way to approach this mentally is:

100 梅 5 = 20
25 梅 5 = 5

Adding the two results together: 20 + 5 = 25. Hence, t = 25. This simple method ensures you fully understand the division process.

Verification of Results

After solving a math problem, it's essential to verify your result to ensure it's correct. Verification adds a layer of accuracy to your work. For our problem, we do this by reversing the operation we originally performed. Multiply the quotient (answer) by the divisor:

25 (quotient) 脳 5 (divisor) = 125 (dividend)

If both sides match, the solution is correct. Therefore, since 25 multiplied by 5 does indeed equal 125, our solution for t is verified to be correct. This step reassures that we have accurately solved the division and properly understood the math concept.

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91影视

Solve. Be sure to check. $$ t=125 \div 5 $$

Short Answer

Step by step solution

Understand the Problem

Set Up the Equation

Perform the Division

Confirm the Solution

Key Concepts

Problem-Solving

Division Calculation

Verification of Results

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