Problem 101 $4.69 \div 0.12$... [FREE SOLUTION]

91影视

Elementary Algebra Within Reach

Ron Larson, Kimberly Nolting

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 1: Problem 101

$4.69 \div 0.12$

Short Answer

Expert verified

The answer to $4.69 \div 0.12$ is approximately 39.08

Step by step solution

Understand the Problem

The problem is a division problem, were 4.69 is divided by 0.12.

Carry Out the Division

To carry out the division, just divide 4.69 by 0.12 using a calculator or long division method.

Write Down the Answer

Write down the answer as obtained above.

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Key Concepts

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

Decimal Division

When facing a decimal division problem like dividing 4.69 by 0.12, it's essential to understand the placement and role of decimals. Decimal division involves calculating how many times one decimal number can fit into another.

The goal is to make the division simpler. Here are some tips:

Count the number of decimal places in the divisor (0.12) and the dividend (4.69).
To make the division easier, you can move the decimal point in both numbers to the right until the divisor becomes a whole number.
In this example, moving the decimal point in 0.12 two places to make it 12 is helpful. Similarly, move the decimal point in 4.69 two places to make it 469.0.

Now, divide 469.0 by 12 using a method of your choice.

Long Division Method

Although calculators make the process quick and easy, understanding the long division method provides strong foundational knowledge. Long division involves repeatedly subtracting the divisor from parts of the dividend. Here's how it works:

First, determine how many times the whole number (from the adjusted dividend 469.0) can be divided by the divisor (now 12).
Write the quotient above the dividend, starting above the last digit of the first chunk you've divided.
Multiply the divisor by the quotient and subtract from this chunk of the dividend.
Bring down the next digit of the dividend, and repeat the steps until all digits of the dividend have been used.

With the example of 469.0 divided by 12, you'll find that the quotient is as accurate as a calculator-produced result, providing deeper comprehension of division mechanics.

Calculator Use

In modern-day math, using a calculator can be a great time-saver for division, particularly with decimal numbers that can be tedious in precise manual calculations. For instance, when dividing 4.69 by 0.12:

Ensure accuracy by entering numbers into the calculator correctly. Mistakes in entry can lead to incorrect results.
Use the divide function of the calculator efficiently.
After obtaining the division result, double-check the number order and decimals for accuracy.
For better understanding, compare your calculator results with manual calculations if possible.

Using a calculator gives immediacy in solutions yet reinforces learning when paired with comprehension of the problem through manual methods.

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91影视

\(4.69 \div 0.12\)

Short Answer

Step by step solution

Understand the Problem

Carry Out the Division

Write Down the Answer

Key Concepts

Decimal Division

Long Division Method

Calculator Use

One App. One Place for Learning.

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