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Chapter 1: Problem 12

Round each of the numbers to the nearest ten. $$680$$

Short Answer

Expert verified
The number 680 rounded to the nearest ten is 680.

Step by step solution

01

Identify the Target Digit

To round a number to the nearest ten, first identify the 'tens' and 'ones' places in the number. For 680, the 'tens' digit is 8, and the 'ones' digit is 0.
02

Determine the Rounding Action

Observe the 'ones' digit, which is 0 in this case. If this digit is less than 5, the 'tens' digit (8) remains unchanged. If it were 5 or greater, we would increase the 'tens' digit by 1.
03

Apply the Rounding Rule

Since the 'ones' digit is 0, which is less than 5, keep the 'tens' digit as is. Thus, the number 680 rounded to the nearest ten remains 680.
04

Rewrite the Number

Rewrite 680 with the adjusted 'ones' digit as 0 since it does not change in this rounding step. The rounded number is 680.

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Key Concepts

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

Understanding Place Value in Numbers
In mathematics, place value is the value of each digit in a number based on its position. Understanding place value is crucial when rounding numbers, as it helps identify which digit to adjust. In any number:
  • The rightmost digit is in the 'ones' place (units).
  • The next position to the left is the 'tens' place.
  • It continues to the 'hundreds', 'thousands', and so on as you move leftward.
For example, in the number 680:
  • 鈥�0鈥� is in the 'ones' place.
  • 鈥�8鈥� is in the 'tens' place, indicating 8 sets of ten.
  • 鈥�6鈥� is in the 'hundreds' place, representing 600.
Knowing the place value allows us to correctly execute rounding by determining the target digit to round and the digit that guides the rounding action.
Rounding Rules Made Simple
Rounding is a way to simplify numbers, making them easier to work with. When rounding a number, you alter its value to the nearest specified place. Here are some simple rules to follow:
  • Identify the Target Digit: Determine which place value you are rounding to, such as the nearest ten.
  • Look at the Digit to the Right: Check the digit immediately to the right of your target place.
  • Decide Based on the Five Rule:
    • If this digit is less than 5, do not change the target digit.
    • If it is 5 or greater, increase the target digit by 1.
  • Adjust Accordingly: Change the digits following your target to zero.
Using these rules, you can accurately round any number to your desired place value.
Rounding to the Nearest Ten
Rounding a number to the nearest ten involves focusing on the 'tens' and 'ones' places. Let's see how it works with the number 680.
  • Find the 'Tens' Digit: For 680, the 'tens' digit is 8.
  • Check the 'Ones' Digit: Here, the 'ones' digit is 0.
  • Apply the Rounding Rule: Since the 'ones' digit (0) is less than 5, we keep the 'tens' digit (8) unchanged.
  • Result: The rounded number is 680, as the lower digits become zero, aligning perfectly to the nearest ten.
By adhering to these steps, students can confidently round numbers to the nearest ten, ensuring calculations are simple and precise.

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Most popular questions from this chapter

Add each of the following. (All problems involve carrying in at least one column. $$\begin{array}{l} 999 \\ 444 \\ 555 \\ 222 \end{array}$$

Add each of the following. (All problems involve carrying in at least one column. $$\begin{array}{r} 444 \\ 595 \\ \hline \end{array}$$

Write each of the following expressions in words. Use the word sum in each case. $$8+1$$

Find a solution for each equation. $$17=n+9$$

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication. $$\frac{2,401}{49}$$
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