/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 38 Divide. $$ \frac{769.3265}{1... [FREE SOLUTION] | 91影视

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Chapter 4: Problem 38

Divide. $$ \frac{769.3265}{1000} $$

Short Answer

Expert verified
0.7693265

Step by step solution

01

Understanding Division by 1000

Dividing a number by 1000 involves moving the decimal point three places to the left. This is because 1000 has three zeros.
02

Move the Decimal Point

Start with the number 769.3265. Move the decimal point three places to the left. To visualize it: 769.3265 鈫� 76.93265 鈫� 7.693265 鈫� 0.7693265.
03

Write the Result

After moving the decimal point three places to the left, the result is 0.7693265.

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Key Concepts

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

decimal point
A decimal point is a dot (.) used to separate the whole number part from the fractional part of a decimal number.
For example, in the number 769.3265, the decimal point separates the whole number 769 from the fractional part 3265.
When dividing or multiplying decimals, the position of the decimal point changes.
This change in position is important as it determines the value of the number.
Understanding how to handle the decimal point is crucial in operations involving decimals.
divide by 1000
To divide a number by 1000, you move the decimal point three places to the left.
This is because the number 1000 has three zeros.
Let's look at an example to better understand this.
Consider the number 769.3265.
When we divide by 1000, we start with 769.3265 and move the decimal point three places to the left:
  • First move: 76.93265
  • Second move: 7.693265
  • Third move: 0.7693265

After moving the decimal point, the result is 0.7693265.
This simple technique works the same for any decimal number, making it easier to divide by powers of 10.
place value
Place value refers to the value of each digit in a number based on its position.
In the number 769.3265, each digit has a different place value:
  • 7 is in the hundreds place
  • 6 is in the tens place
  • 9 is in the units place
  • 3 is in the tenths place
  • 2 is in the hundredths place
  • 6 is in the thousandths place
  • 5 is in the ten-thousandths place

When dividing by 1000, the digits shift to the left, changing their place values.
For example, the 7 moves from the hundreds place to the tenths place, drastically reducing its value.
Understanding place value helps in performing accurate and efficient mathematical operations.

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Most popular questions from this chapter

The water in a filled tank weighs \(748.45 \mathrm{lb}\). One cubic foot of water weighs \(62.5 \mathrm{lb}\). How many cubic feet of water does the tank hold?

Kenya swept the 2017 Boston Marathon. Geoffrey Kirui won the men's division in \(2 \mathrm{hr} 9.617 \mathrm{~min}\). His time was 12.25 min shorter than Edna Kiplagat's winning time for the women's division. What was Edna Kiplagat's winning time?

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

Simplify. $$ 200+40 \div 4 $$

Add. $$ 65.987+9.4703+6744.02+1.0003+200.895 $$
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