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Chapter 4: Problem 23

Write decimal notation. $$ \frac{3798}{1000} $$

Short Answer

Expert verified
3.798

Step by step solution

01

Understand the fraction

The fraction given is \( \frac{3798}{1000} \). It means that 3798 must be divided by 1000.
02

Decimal point logic

When dividing a number by 1000, move the decimal point three places to the left since 1000 has three zeros.
03

Move the decimal point

Starting with the number 3798, we move the decimal point three places left: 3798 鈫� 3.798.

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Key Concepts

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

fraction to decimal conversion
When we talk about converting a fraction to a decimal, we mean changing the fraction into a number with a decimal point. A fraction like \(\frac{3798}{1000}\) tells us that 3798 is divided by 1000. This division process converts the fraction into a decimal.

To simplify, think of it this way: the numerator (top number) goes inside the division, and the denominator (bottom number) goes outside. We then perform the division to get a decimal answer.
division
Division is one of the four basic operations in math. It involves splitting a number into equal parts.

In the case of \(\frac{3798}{1000}\), we're dividing 3798 by 1000. This is like asking how many times 1000 fits into 3798.

Usually, you'd write this as a division problem: \3798 \div 1000 = ?\. The process can be done manually or using a calculator, but if you understand the concept of moving the decimal point, it becomes much easier.
decimal point movement
When working with large numbers, moving the decimal point can simplify division.

For \(\frac{3798}{1000}\), note that 1000 has three zeros. Hence, we move the decimal point in the number 3798 three places to the left.

Here鈥檚 how it works: start with 3798 (which is 3798.0) and move the decimal point three spaces to the left. You get 3.798.

This turns 3798 divided by 1000 into 3.798. Simply counting the zeros can help you move the decimal easily.

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Most popular questions from this chapter

In order to make money on loans, financial institutions must be paid back more money than they loan. Suppose you borrow \(\$ 270,000\) to buy a house and agree to make monthly payments of \(\$ 1490.95\) for 30 years. How much do you pay back altogether? How much more do you pay back than the amount of the loan?

Subtract. $$ \begin{array}{r} 3.4 \\ -0.003 \\ \hline \end{array} $$

You can drive from home to work using either of two routes: Route A: Via interstate highway, \(7.6 \mathrm{mi}\), with a speed limit of \(65 \mathrm{mph}\). Route \(B\) : Via a country road, \(5.6 \mathrm{mi}\), with a speed limit of \(50 \mathrm{mph}\). Assuming you drive at the posted speed limit, which route takes less time? (Use the formula distance \(=\) speed \(\times\) time. \()\)

Subtract. $$ 9.087-8.807 $$

Subtract. $$ 100.16-0.118 $$
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