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Chapter 1: Problem 10

Round to the nearest hundred. $$ 874 $$

Short Answer

Expert verified
900

Step by step solution

01

Identify the hundreds place

In the number 874, the '8' is in the hundreds place. To round the number to the nearest hundred, focus on this digit.
02

Look at the tens place

Determine the value of the digit in the tens place, which is the '7' in 874. This will help decide if the hundreds place digit stays the same or rounds up.
03

Apply the rounding rule

If the digit in the tens place is 5 or greater, increase the hundreds place digit by 1. Otherwise, keep it the same. Since '7' is greater than 5, increase '8' by 1.
04

Adjust the other digits

Change all digits to the right of the hundreds place to '0'. Therefore, 874 rounded to the nearest hundred becomes 900.

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Key Concepts

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

nearest hundred
Rounding to the nearest hundred means adjusting a number so it is close to a multiple of 100. Imagine a number line. The number you want to round will be close to some 'hundreds' point (like 800 or 900). Finding the nearest hundred helps make numbers simpler and easier to work with. For instance, rounding 874 to the nearest hundred makes it 900. This is helpful in many everyday situations, such as estimating costs or distances.
place value
Place value refers to the value of a digit depending on its position in a number. In 874:
  • '8' is in the hundreds place
  • '7' is in the tens place
  • '4' is in the ones place
Each position has a specific value. The hundreds place tells us how many 'hundreds' are in the number. Knowing place values is crucial because they help determine how to round numbers correctly.
rounding rules
Rounding rules are basic guidelines you follow to round numbers. Here鈥檚 a simple way to remember them:
  1. Identify the place you want to round to (hundreds, tens, etc.).
  2. Look at the digit immediately to the right.
  3. If this digit is 5 or greater, add 1 to the digit you're rounding. If it's less than 5, keep the digit the same.
  4. Change all digits to the right of the rounding place to zero.
Let's apply these rules to 874:
  • We round to the hundreds place, so we look at the digit in the tens place (which is 7).
  • Since 7 is greater than 5, we add 1 to the '8' in the hundreds place.
  • Change the remaining digits to zero. This makes 874 become 900.
Understanding these rules ensures you always round numbers correctly.

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