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Chapter 1: Problem 10

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

Short Answer

Expert verified
To round 347 to the tens place, look at the ones place (7), round up, and change the ones digit to 0, resulting in 350.

Step by step solution

01

Identify the Digit in the Tens Place

Look at the whole number and identify the digit that is in the tens place. For example, in the number 347, the digit in the tens place is 4.
02

Look at the Digit in the Ones Place

Examine the digit immediately to the right of the tens place, which is the ones place. For the number 347, the digit in the ones place is 7.
03

Decide to Round Up or Down

If the digit in the ones place is 5 or greater, round up by adding 1 to the digit in the tens place. If the digit in the ones place is less than 5, round down by leaving the digit in the tens place as it is. Since the digit in the ones place of 347 is 7 (which is greater than 5), round up.
04

Replace the Ones Place with Zero

After rounding either up or down, change the ones place digit to 0. So, after rounding 347 up, it becomes 350.
05

Write the Rounded Number

The final rounded number is now written. For this example, it is 350.

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Key Concepts

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

Tens Place
When rounding a whole number to the tens place, it is crucial to understand what the tens place is. The tens place is the second digit from the right in a whole number. For example, in the number 347, the tens place is occupied by the digit 4. Identifying the tens place helps in determining which digit needs to be adjusted when rounding. This adjustment affects the digit to its immediate right.
Ones Place
The ones place is the first digit on the right side of any whole number. This digit plays a critical role in rounding numbers. For example, in the number 347, the ones place is occupied by the digit 7. When we want to round to the tens place, we look at this digit to decide whether to round the number up or down. The ones place is essential because it determines the rounding direction of the tens place.
Rounding Up and Down
To round up or down, you need to examine the digit in the ones place. If this digit is 5 or greater, we round up. This means we add 1 to the digit in the tens place. If the digit in the ones place is less than 5, we round down. In this case, we leave the tens place digit unchanged. For instance, in the number 347, because the ones place is 7 (greater than 5), we round up to get 350.

It's a simple rule:
  • If 5 or more, round up
  • If less than 5, round down
Place Value
Understanding place value is key in rounding numbers. Place value indicates the position of a digit in a number and its corresponding value. In the number 347:
  • The 3 is in the hundreds place, so its value is 300
  • The 4 is in the tens place, so its value is 40
  • The 7 is in the ones place, so its value is 7
Recognizing place values helps us understand how individual digits contribute to the overall number.

When rounding, we use place values to determine which digit(s) to change to make rounding accurate and easy to perform.

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