Problem 11 Round to the nearest hundred. ... [FREE SOLUTION]

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Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 1: Problem 11

Round to the nearest hundred. $$ 957 $$

Short Answer

Expert verified

The rounded number is 1000.

Step by step solution

Identify the Hundreds Place

Look at the number 957. Identify the digit in the hundreds place, which is 9.

Look at the Tens Place

Examine the digit in the tens place to decide whether to round up or keep the same. The digit in the tens place is 5.

Apply Rounding Rule

Since the digit in the tens place is 5, round up the hundreds place digit by 1. Change 9 to 10.

Set Remaining Digits to Zero

Replace all digits to the right of the hundreds place with zeros. The tens and units place digits both become 0, making the number 1000.

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Key Concepts

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

nearest hundred

When rounding a number to the nearest hundred, you'll change the number to the closest multiples of 100. For example, consider the number 957.
You're trying to decide whether 957 is closer to 900 or 1000. Here, 1000 is the nearest hundred to 957.
Thus, after rounding, 957 becomes 1000.
This process makes numbers simpler and easier to work with, especially in estimation problems.

place value

Understanding place value is crucial when rounding numbers. Each digit in a number has a specific place value and represents a different magnitude.
For the number 957:
- The digit 9 is in the hundreds place. This means it represents 900.
- The digit 5 is in the tens place, so it stands for 50.
- The digit 7 is in the units place, representing 7.
Recognizing these place values helps us decide how the number changes when we round it.
For rounding, focus mainly on the hundreds place and assess the digit in the tens place.

rounding rules

Rounding rules are simple but important. They dictate how to change a number to the nearest specified place value.
Here鈥檚 how the rounding rules apply to our example number, 957:

1. Identify the target place value (hundreds place for this case, which is 9).
2. Look at the digit immediately to the right of it (tens place, which is 5).
3. Apply the rounding rule: if this digit is 5 or greater, increase the target place value by 1. If it鈥檚 less than 5, keep the target digit the same.

In this example, digit 5 tells us to round up. Therefore, we change the 9 in the hundreds place to 10 and replace all digits to the right with zeros.
Hence, 957 rounds up to 1000.

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91影视

Round to the nearest hundred. $$ 957 $$

Short Answer

Step by step solution

Identify the Hundreds Place

Look at the Tens Place

Apply Rounding Rule

Set Remaining Digits to Zero

Key Concepts

nearest hundred

place value

rounding rules

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