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Chapter 1: Problem 43

Round the given number to the specified place. Round 2525 to the thousands place.

Short Answer

Expert verified
2525 rounded to the thousands place is 3000.

Step by step solution

01

Identify the Thousands Place

In the number 2525, the digit in the thousands place is the leftmost digit. Therefore, the digit in the thousands place is 2.
02

Examine the Hundreds Place Digit

To decide whether to round the thousands place digit up or down, look at the digit immediately to the right of the thousands place, which is the hundreds place. In 2525, the hundreds place digit is 5.
03

Apply Rounding Rules

The standard rule for rounding is that if the digit in the hundreds place is 5 or greater, you round up the thousands place digit. If it is less than 5, you round down. In this case, the hundreds digit, 5, means the thousands digit, 2, should be rounded up to 3.
04

Adjust Remaining Digits

After rounding the thousands place digit up to 3, all digits to the right become zero. Therefore, the number becomes 3000.

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Key Concepts

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

Place Value
When dealing with numbers, understanding place value is crucial. Place value determines the value of a digit based on its position in a number. For instance, in the number 2525:
  • The digit '2' on the far left is in the thousands place, meaning it represents 2 thousands.
  • The next '5' is in the hundreds place, representing 5 hundreds or 500.
  • The subsequent '2' is in the tens place, worth 2 tens or 20.
  • Finally, the last '5' is in the units place, simply valued at 5.
Recognizing the precise position helps in determining how and where rounding will affect each digit. It鈥檚 like knowing each digit's address, allowing you to modify or estimate numbers accurately.
Rounding to Nearest Thousand
Rounding numbers makes them simpler and easier to use, especially in estimation and quick calculations. When rounding to the nearest thousand, you'll focus on the thousands digit and assess the adjacent digit in the hundreds place to decide how to round.
In our example of 2525, the goal is to round it to the nearest thousand:
  • First, locate the thousands digit, which in this case is the leftmost '2'.
  • Then, look to the hundreds place digit, which is '5', to determine rounding direction.
After rounding, only multiple of thousands stay in the outcome. For 2525, following rounding principles results in 3000.
Rounding Rules
Rounding rules are simple guidelines that help decide whether to bump a number up or keep it the same. These rules are consistent regardless of the number's size or the digit鈥檚 position. Here's how they apply:
  • If the digit immediately to the right of the place you're rounding to is 5 or more, the digit in the place being rounded goes up by one.
  • If that digit is less than 5, the rounding digit stays the same.
For 2525, the hundreds place is 5, therefore, the thousands place '2' becomes '3'. It is rounded up because the hundreds digit is equal to 5. This results in the final rounded number 3000, with digits to the right replaced by zeroes to keep it in thousands.

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