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Chapter 1: Problem 15

Round each number to the given place value. \(9384 ;\) hundreds

Short Answer

Expert verified
9400

Step by step solution

01

Identify the hundreds place

Locate the hundreds place in the number 9384. The hundreds place is the 3rd digit from the right, which is 3.
02

Check the digit to the right

Look at the digit to the right of the hundreds place. In this case, it is 8.
03

Determine if rounding up or down

If the digit to the right is 5 or greater, round up. If it is less than 5, round down. Since 8 is greater than 5, round up.
04

Adjust the hundreds place

Increase the hundreds digit (3) by 1. This changes the 3 to a 4.
05

Set the remaining digits

All digits to the right of the hundreds place become zeros. So, the number now reads 9400.

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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 essential when rounding numbers. Place value refers to the value of each digit in a number depending on its position. Start from the right side of the number:
  • The first digit is in the units or ones place.
  • The second digit is in the tens place.
  • The third digit is in the hundreds place.
  • The fourth digit is in the thousands place, and so on.
For example, in the number 9384, the digit 3 is in the hundreds place. By recognizing the place value, you know what each digit represents and which digit to consider while rounding.
Rounding Rules
Rounding involves making a number simpler while keeping its value close to the original. Here are the basic rounding rules:
  • If the digit to the right of your rounding place is 5 or greater, round up.
  • If it is less than 5, round down.
To apply these rules, locate your rounding place and then check the digit immediately to the right of it. This digit will determine whether you round the number up or down. For instance, in 9384, when rounding to the hundreds place, we look at the digit to the right of the hundreds place (which is 8). Since 8 is greater than 5, we round up.
Mathematics Steps
Let's break down the process of rounding 9384 to the nearest hundreds:
  • Step 1: Identify the hundreds place: In 9384, the hundreds place is occupied by 3.
  • Step 2: Check the digit to its right: The digit to the right of the hundreds place is 8.
  • Step 3: Determine rounding direction: Since 8 is greater than 5, we round up.
  • Step 4: Adjust the hundreds place: Increase the hundreds digit (3) by 1, making it 4.
  • Step 5: Set the remaining digits to zero: Change all digits to the right of the hundreds place to zero, resulting in 9400.
By following these steps methodically, you can easily round any number to the required place value.

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