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Chapter 1: Problem 474

Round to the nearest hundred. $$26,849$$

Short Answer

Expert verified
26,800

Step by step solution

01

Identify the Hundreds Place

In the number 26,849, identify the digit in the hundreds place. The hundreds place is the third digit from the right, which is 8.
02

Examine the Digit to the Right

Look at the digit immediately to the right of the hundreds place. In this case, the digit is 4.
03

Determine to Round Up or Down

If the digit to the right of the hundreds place is 5 or greater, round up. If it is less than 5, round down. Here, the digit is 4, which is less than 5, so round down.
04

Adjust the Hundreds Place Digit

Since we are rounding down, the digit in the hundreds place remains 8. All digits to the right become 0.
05

Write the Rounded Number

The original number, 26,849, rounded to the nearest hundred is 26,800.

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Key Concepts

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

nearest hundred
Rounding to the nearest hundred involves adjusting a number so that it is closest to a multiple of one hundred. This means looking at the hundreds place鈥� the third digit from the right鈥� and deciding whether to leave it as is or to round it up. For instance, in the example number 26,849, the number rounded to the nearest hundred is 26,800. Here, the goal is to simplify the number while keeping it as close as possible to the original value.
place value
Place value is essential in understanding numbers and rounding them effectively. Each digit in a number has a position, and each position has a different value. The following are some key positions:
  • Units place
  • Tens place
  • Hundreds place
  • Thousands place

In our example, 26,849, the hundreds place is 8 (the third digit from the right). Understanding this concept helps us identify which digits to focus on and manipulate when rounding numbers.
rounding rules
Rounding rules are simple guidelines that help us determine whether to round a number up or down. Here are the steps it involves:
  • Identify the digit in the place you want to round to.
  • Look at the digit immediately to the right of it.
  • If that digit is 5 or greater, round up.
  • If that digit is less than 5, round down.
  • After making the round-up or round-down decision, all digits to the right of the rounding place become zeros.

For example, in rounding 26,849 to the nearest hundred, the digit in the hundreds place is 8, and the digit immediately to the right is 4. Since 4 is less than 5, we round down, leaving the hundreds place digit unchanged and converting all digits to its right into zeros, resulting in 26,800.

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Most popular questions from this chapter

Simplify. $$495 \div 45$$

Subtract and then check by adding. $$8,355-3,947$$

Use Division Notation Translate from math notation to words. $$42 / 7$$

Subtract and then check by adding. $$10,000-15$$

Last month, Stan's take-home pay was \(\$ 3,816\) and his expenses were \(\$ 3,472\) . How much of his take-home pay did Stan have left after he paid his expenses?
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