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Chapter 1: Problem 40

Convert the numbers to standard form. 2 ten-thousands \(+6\) thousands \(+2\) ones

Short Answer

Expert verified
26002

Step by step solution

01

Identify the given values

2 ten-thousands, 6 thousands, and 2 ones are given. Write these values numerically as 20000, 6000, and 2.
02

Sum the values

Add the identified values together: 20000 + 6000 + 2 = 26002.
03

Write the number in standard form

The sum, 26002, is already in standard form.

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Key Concepts

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

Place Value
Understanding place value is crucial in working with large numbers. Place value refers to the value of each digit in a number based on its position. Each position in a number has a different value, and these positions are powers of 10.
For example, in the number 26002:
  • The '2' on the far left is in the ten-thousands place, representing 20000 (2 x 10000).
  • The '6' is in the thousands place, representing 6000 (6 x 1000).
  • The '2' on the far right is in the ones place, representing just 2 (2 x 1).
Recognizing these place values simplifies the process of converting and combining numerical forms.
Numerical Representation
Numerical representation involves expressing values using digits. In our example, we converted verbal descriptions to numerical values. Here鈥檚 how we did it:
  • '2 ten-thousands' becomes 20000.
  • '6 thousands' becomes 6000.
  • '2 ones' remains 2.
After converting each part to its numerical form, we can easily see the components of the larger number.
Addition of Large Numbers
Adding large numbers might seem challenging, but understanding place value makes it simpler. Our example combines three different values: 20000, 6000, and 2.

Here's how to add these step-by-step:
  • First, line up the numbers by their place value:

20000
+6000
+ 2
  • Next, add the digits starting from the rightmost place value (ones) and move left:
  • 2 (ones) + 6000 (thousands) = 6002.
  • 6002 + 20000 (ten-thousands) = 26002.
This sum, 26002, is already the standard form making the process straightforward.

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