Rounding Numbers up to a Million: Rounding to nearest 1,000 and 10,000

Examples with solutions for Rounding Numbers up to a Million: Rounding to nearest 1,000 and 10,000

Exercise #1

Choose the correct answer:

17,115 ? 17,115\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply rounding rules for nearest 1,000
  • Step 3: Select the correct choice based on the rounded value

Let's work through each step:

Step 1: The given number is 17,115. We need to round it to the nearest value among the choices.

Step 2: To round to the nearest 1,000, we look at the hundreds digit in 17,115, which is 1 (as in '115'). According to rounding rules, since 1 is less than 5, we round down.

Step 3: Rounding 17,115 to the nearest 1,000 results in 17,000.

According to the choices, the correct rounded answer is 17,000 17,000 .

Answer

17,000 17,000

Exercise #2

Choose the correct answer:

16,890 ? 16,890\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the hundreds digit of 16,890, which is 8.
  • Step 2: Apply the rounding rule: Since 8 is between 5 and 9, we round up.
  • Step 3: Round 16,890 up to 17,000.

Given these steps, let's work through the rounding:

The number 16,890 has a hundreds digit of 8. According to the rounding rule, this requires us to round up to the next thousand.

Therefore, 16,890 rounded to the nearest thousand is 17,000 17,000 .

Answer

17,000 17,000

Exercise #3

Round to the nearest thousand:

67,437 ? 67,437\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the hundreds digit of the number 67,437 67,437 .
  • Step 2: Apply the rounding rule for the nearest thousand.
  • Step 3: Determine the rounded number and compare it with the given choices.

Now, let's work through each step:
Step 1: The hundreds digit of 67,437 67,437 is 4.
Step 2: Since the hundreds digit is less than 5, we round down. According to the rules of rounding to the nearest thousand, the digits following the thousands place become zero.
Step 3: Therefore, rounding 67,437 67,437 to the nearest thousand results in 67,000 67,000 .

The solution to the problem is 67,000 67,000 , which corresponds to answer choice 1.

Answer

67,000 67,000

Exercise #4

Choose the correct answer:

5,617 5,617\approx

Step-by-Step Solution

To solve this problem, we'll round the number 5,617 5,617 to the nearest multiple of 1,000 1,000 using the standard rounding rules.

Here's how we can do it:

  • First, we need to look at the hundreds digit of 5,617 5,617 . This digit is 6 6 .
  • According to the rounding rule: - If the hundreds digit is 5 5 or greater, we round up. - If the hundreds digit is 4 4 or less, we round down.
  • Since the hundreds digit here is 6 6 , which is greater than 5 5 , we will round 5,617 5,617 up to the nearest 1,000 1,000 .

This means 5,617 5,617 rounds to 6,000 6,000 .

Therefore, the solution to the problem is 6,000 6,000 .

Answer

6,000 6,000

Exercise #5

Choose the correct answer:

48,246 ? 48,246\approx\text{ ?}

Step-by-Step Solution

To solve this rounding problem, we will proceed with the following steps:

  • Step 1: Identify the hundreds digit in 48,246 48,246 .
  • Step 2: Apply the rounding rule to determine the nearest thousand.

Now, let's work through these steps:

Step 1: The number given is 48,246 48,246 . The hundreds digit in this number is 2 2 .

Step 2: According to rounding rules, if the hundreds digit (which is 2 2 ) is less than 5 5 , we round down to the nearest thousand. This means we will round 48,246 48,246 down to 48,000 48,000 .

Therefore, after rounding 48,246 48,246 to the nearest thousand, the approximate value is 48,000 48,000 .

The correct choice from the options provided is 48,000 48,000 .

Answer

48,000 48,000

Exercise #6

Choose the correct answer:

24,380 ? 24,380\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we will determine the correct approximation by rounding the number 24,380 to the nearest thousand. Here's how:

  • Step 1: Identify the hundreds digit of the number 24,380. This digit is 3 (from 380).
  • Step 2: Apply the rounding rule: If the hundreds digit is 5 or greater, round up. If it is less than 5, round down.
  • Step 3: Since the hundreds digit is 3, which is less than 5, we round down.

This means rounding 24,380 to the nearest thousand gives us 24,000. Therefore, the solution to the problem is:

24,000 24,000 .

Answer

24,000 24,000

Exercise #7

Choose the correct answer:

48,850 ? 48,850\approx\text{ ?}

Step-by-Step Solution

To solve this problem, we will round the number 48,850 48,850 to the nearest thousand as follows:

  • Step 1: Identify the relevant digits. Here, 48,850 48,850 has a thousands digit of 8 and a hundreds digit of 8.
  • Step 2: Apply the rounding rule. Since the hundreds digit (8) is 5 or greater, we round up.
  • Step 3: Calculate the result. Rounding 48,850 48,850 up from the thousands digit gives us 49,000 49,000 .

Therefore, the solution is 49,000 49,000 .

Answer

49,000 49,000