Problem 37 Convert the numbers to standard ... [FREE SOLUTION]

91影视

Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 1: Problem 37

Convert the numbers to standard form. 1 thousand $+9$ hundreds $+6$ ones

Short Answer

Expert verified

1906

Step by step solution

Identify Each Component

Identify the individual components given in the problem: 1 thousand, 9 hundreds, and 6 ones.

Convert to Numerical Values

Convert each component to its numerical equivalent: 1 thousand is 1000, 9 hundreds is 900, and 6 ones is 6.

Sum the Values

Add the numerical values together: 1000 + 900 + 6.

Compute the Sum

Calculate the result of the addition: \[ 1000 + 900 + 6 = 1906 \]

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Key Concepts

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

Numerical Values

Understanding numerical values is crucial when converting numbers to standard form. Here, we start by identifying the individual components of the given numbers.
Each component represents a specific value depending on its place. For example:
鈥� 1 thousand represents the value 1000.
鈥� 9 hundreds represent the value 900.
鈥� 6 ones represent the value 6.
To succeed in such problems, it is important to know that 'thousand' means a multiple of 1000, 'hundreds' means a multiple of 100, and 'ones' are the basic units.
This knowledge helps in correctly converting each component to its numerical form.

Addition

Addition is the process of combining numerical values to get a total. Once we convert our components into their numerical forms, the next step involves summing them up.
Adding the given values involves these steps:
鈥� Start with the first number: 1000.
鈥� Add the second number to it: 1000 + 900.
鈥� Lastly, add the third number: 1000 + 900 + 6.
When adding, it's beneficial to line up the numbers according to their place values to ensure accuracy.
Summing the values correctly gives us the total in a clear, easy-to-understand form.

Place Value

Place value is the value of each digit in a number based on its position.
Understanding place value helps in breaking down numbers into more manageable parts.
For example, in the number 1906:
鈥� The digit '1' is in the thousand's place and represents 1000.
鈥� The digit '9' is in the hundred's place and represents 900.
鈥� The digit '0' is in the ten's place, representing 0 (since it does not add value).
鈥� The digit '6' is in the unit's place and represents 6.
Knowing place value is crucial for correctly interpreting and converting numbers, especially in exercises involving standard form conversion.
It helps us see how each part contributes to the overall number.

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91影视

Convert the numbers to standard form. 1 thousand \(+9\) hundreds \(+6\) ones

Short Answer

Step by step solution

Identify Each Component

Convert to Numerical Values

Sum the Values

Compute the Sum

Key Concepts

Numerical Values

Addition

Place Value

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