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Chapter 4: Problem 22

Write decimal notation. $$ \frac{51}{10} $$

Short Answer

Expert verified
The decimal notation is 5.1.

Step by step solution

01

Understand the Fraction

Recognize that the fraction \( \frac{51}{10} \) represents a division of 51 by 10.
02

Perform the Division

Divide 51 by 10. When dividing 51 by 10, the result is 5.1 because when moving the decimal point one place to the left, we get 5.1.
03

Verify the Result

Check the result by multiplying back. \( 5.1 \times 10 = 51 \). This confirms that the decimal notation is correct.

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Key Concepts

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

Fraction to Decimal Conversion
A fraction like \( \frac{51}{10} \) can be turned into a decimal.
To find the decimal form of the fraction:
  • Identify the numerator (the top number) which is 51.
  • Identify the denominator (the bottom number) which is 10.

The fraction \( \frac{51}{10} \) means we need to divide 51 by 10.
Division of Numbers
To convert the fraction into a decimal, we perform the division 51 梅 10.
Here's how:
  • Place the decimal point in the correct location by shifting it one place to the left, since 10 has one zero.
  • So, 51 divided by 10 equals 5.1.

Thus, the decimal notation of \( \frac{51}{10} \) is 5.1.
Mathematical Verification
To verify our result, we should check it by reversing the operation.
Follow these steps:
  • Multiply the decimal result (5.1) back by the denominator (10).
  • If the original numerator (51) is obtained, the calculation is correct.

In this case, 5.1 脳 10 equals 51, confirming the accuracy of our conversion.
This way, we ensure our answer is correct, giving us confidence in our result.

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Most popular questions from this chapter

Subtract. $$ \begin{array}{r} 44.345 \\ -\quad 3.105 \\ \hline \end{array} $$

Add. $$ \begin{array}{r} 4203.28 \\ +\quad 3.39 \\ \hline \end{array} $$

Estimate by rounding as directed. $$ \begin{aligned} &12.9882-1.0115 ;\\\ &\text { nearest one } \end{aligned} $$

Estimate by rounding as directed. $$ \begin{aligned} &198.67432-24.5007\\\ &\text { nearest ten } \end{aligned} $$

Subtract. $$ \begin{array}{r} 92.341 \\ -\quad 6.42 \\ \hline \end{array} $$
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