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Chapter 6: Problem 38

Round 2,614 to the nearest ten.

Short Answer

Expert verified
2,614 rounded to the nearest ten is 2,610.

Step by step solution

01

Identify the Tenths Position

To round a number to the nearest ten, first, identify the digit in the tens position. In the number 2,614, the digit in the tens position is 1.
02

Look at the Ones Position

Next, check the digit in the ones position, as this will determine whether the tens digit stays the same or rounds up. In 2,614, the digit in the ones position is 4.
03

Apply Rounding Rules

According to rounding rules, if the digit in the ones position is 5 or higher, you round up. If it is less than 5, you round down. Since 4 is less than 5, you round down, which means the tens digit stays the same.
04

Replace Ones with Zero

The tens digit remains 1. Replace the ones digit with 0 to complete the rounding. Therefore, 2,614 rounded to the nearest ten is 2,610.

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Key Concepts

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

Nearest Ten
Rounding numbers to the nearest ten means adjusting a number to the closest multiple of ten. It's like aiming for the nearest target on a number line that ends in a zero.
This process helps to simplify numbers, making them easier to work with or understand, especially when precise accuracy isn't essential.
Imagine the number 2,614 on the number line. The two multiples of ten closest to it are 2,610 and 2,620. When we round to the nearest ten, we decide which of these two numbers 2,614 is closest to.
Tens Position
Understanding the tens position is crucial for rounding to the nearest ten. The tens position is the second digit from the right in a whole number.
For the number 2,614, the number in the tens position is 1.
  • The digit just to the right of the tens position is the ones position, which will influence the rounding decision.
  • When we say 'tens', it represents the number of groupings of ten present in the number.
In other words, the tens digit shows how many full sets of ten are in the number. Recognizing this position is essential in the process of rounding.
Rounding Rules
Rounding follows specific rules to ensure consistency.
  • If the digit in the ones position is 5 or more, increase the tens digit by one and change the ones digit to zero.
  • If the digit in the ones position is less than 5, the tens digit remains unchanged, and the ones digit becomes zero.
Let's apply these rules to round 2,614.
  • Look at the ones digit, which is 4. Since it's less than 5, we don't increase the tens digit.
  • Hence, the tens digit stays 1, and the ones digit, 4, is replaced by 0.
  • The resulting number is 2,610.
These simple steps guide us in transforming any number to its rounded form accurately.

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Most popular questions from this chapter

Carry out each division until the repeating pattern is determined. If a repeating pattern is not apparent, round the quotient to three decimal places. \(1 \div 7\)

Write each decimal fraction. Nine hundred forty-seven thousandths.

Perform each addition or subtraction. Use a calculator to check each result. \(4.305+2.119-3.817\)

Convert each fraction or complex decimal number to a decimal (in which no proper fractions appear). \(\frac{1}{15}\)

Carry out each division until the repeating pattern is determined. If a repeating pattern is not apparent, round the quotient to three decimal places. \(6.03 \div 1.9\)
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