Problem 9 Explain how to round a whole num... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 1: Problem 9

Explain how to round a whole number to the hundreds place.

Short Answer

Expert verified

In 1,548, rounding to the hundreds place gives 1,500.

Step by step solution

Identify the Hundreds Place

Determine which digit is in the hundreds place by counting three digits from right to left. For example, in the number 1,548, the digit in the hundreds place is 5.

Look at the Tens Digit

Check the digit immediately to the right of the hundreds place (this is the tens digit). For instance, in the number 1,548, the tens digit is 4.

Determine Whether to Round Up or Down

If the tens digit is 5 or greater, round the hundreds place up by one. If the tens digit is less than 5, keep the hundreds place the same and change all digits to the right of it to zero. In the example 1,548, since 4 is less than 5, you round down.

Adjust the Number

Change all the digits to the right of the hundreds place to zero. For 1,548, rounding to the hundreds place results in 1,500.

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Key Concepts

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

hundreds place

Rounding a number to the hundreds place means focusing on the digit in the hundreds position. To find this digit, count three places from the right. For example, in 1,548, you start from the right with 8 (ones), 4 (tens), and then 5 (hundreds). The hundreds place is 5. This digit is the main focus when applying rounding rules.

rounding rules

Rounding follows specific rules to ensure consistency. Look at the digit to the immediate right of the place you are rounding to. This is called the 'rounding digit.' For the hundreds place, check the tens digit. If the rounding digit is 5 or higher, increase the target digit by one. If it is less than 5, keep the target digit the same. All digits to the right of the target digit become zero.

tens digit

The tens digit is crucial when rounding to the hundreds place. It decides whether to round up or down. For example, in 1,548, the tens digit is 4. Since 4 is less than 5, you do not round up. You keep the hundreds digit the same and change the tens and ones to zeros, resulting in 1,500.

place value

Place value is the value of a digit based on its position in a number. Understanding place value helps in rounding correctly. Each position (ones, tens, hundreds, etc.) has a different value. For example, in 1,548, the place values are:

8 is in the ones place
4 is in the tens place
5 is in the hundreds place
1 is in the thousands place

Recognizing these positions aids in applying rounding rules accurately.

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91影视

Explain how to round a whole number to the hundreds place.

Short Answer

Step by step solution

Identify the Hundreds Place

Look at the Tens Digit

Determine Whether to Round Up or Down

Adjust the Number

Key Concepts

hundreds place

rounding rules

tens digit

place value

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