Rounding Numbers up to 10,000 - Examples, Exercises and Solutions

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

• Step 1: Identify the last digit of the number, which is the ones digit.
• Step 2: Apply the rounding rule for the nearest ten based on the ones digit.
• Step 3: Use the rules to determine the correct rounded number.

Let's proceed through these steps:
Step 1: The number given is $134$. Here, the ones digit is $4$.
Step 2: When rounding to the nearest ten, we consider the rule: if the ones digit is less than $5$, round down; if it is $5$ or more, round up.
Step 3: Since the ones digit is $4$, which is less than $5$, we round down. Therefore, we decrease $134$ to the nearest ten, which is $130$.

Therefore, the solution to the problem is $130$.

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

• Step 1: Identify the tens and units digits of the number 68.
• Step 2: Use rounding rules to determine if we round up or down.
• Step 3: Replace the units digit appropriately to find the rounded number.

Now, let's work through each step:
Step 1: The tens digit of 68 is 6, and the units digit is 8.
Step 2: Since the units digit (8) is 5 or greater, we round up the number 68.
Step 3: After rounding up, we replace the units digit with 0, resulting in the rounded number 70.

Therefore, the solution to the problem is $70$.

To solve this problem, we will round the number 52 to the nearest 10. Here's the step-by-step explanation:

• Step 1: Identify the ones digit of 52, which is 2.
• Step 2: Apply the rounding rule: if the ones digit is less than 5, round down; if it is 5 or more, round up.
• Step 3: Since the ones digit of 52 is 2, which is less than 5, we will round down to the nearest multiple of 10.
• Step 4: The nearest multiple of 10 below 52 is 50.

Therefore, when 52 is rounded to the nearest 10, it becomes $50$.

To round the number 1367 to the nearest hundred, we carry out the following steps:

• Step 1: Identify the digit in the tens place, which is '6' for 1367.
• Step 2: Apply the rounding rule where if the tens digit is 5 or greater, round up.
• Step 3: Since the tens digit is 6, we round up.
• Step 4: Replace the tens and units digits with zero.
• This results in rounding 1367 to 1400.

Thus, when rounding 1367 to the nearest hundred, we get $1400$.

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

• Step 1: Identify the tens and units digits in 465.
• Step 2: Apply the rounding rule for the nearest ten.
• Step 3: Determine the rounded value based on the rule.

Now, let's work through each step:
Step 1: The number 465 has 6 in the tens place and 5 in the units place.

Step 2: To round to the nearest ten, we look at the units digit (5). According to rounding rules, if the digit is 5 or more, we round up.

Step 3: Since the units digit of 465 is 5, we round 460 up to 470.

Therefore, the rounded value of 465 to the nearest ten is $470$.

To solve the problem of finding the approximation of $39,133$, follow these steps:

• Step 1: Determine which place value rounding is expected. Since smaller increments in hundreds and tens are presented in our choices, start with rounding to the nearest 10.
• Step 2: Look at the unit digit (3) in $39,133$. Ensure proper positioning by analyzing what rounding to the nearest 10 will enact here.
• Step 3: Carry out: When rounding numbers, we determine if the parentheses value, $3$, requests rounding up or down. When the units digit in this place value is below five, the rounding retains the lower outcome of these choices.

Looking at $39,133$, examining its digits, the tens place is 3 and the units digit is 3, it is less than 5. Thus, the number rounds down to $39,130$.

Therefore, rounding $39,133$ to the nearest 10 gives $39,130$.

To solve the problem, we'll follow a structured approach to rounding 21,007:

• Step 1: Identify the digit to focus on for rounding to the nearest ten.
• Step 2: The number 21,007 has its ones digit as 7, which is part of our analysis for nearest ten rounding.
• Step 3: Apply the rounding rules. Since the units place digit is 7, which is greater than or equal to 5, we round up.
• Step 4: Change the units digit (7) to zero and add 1 to the tens digit.
• Step 5: The updated number becomes 21,010 after rounding.

Therefore, rounding the number 21,007 to the nearest ten gives us $21,010$.

To solve the problem, we need to understand rounding principles, particularly rounding a number to the nearest ten or hundred, as implied by the given options.

Let's follow these steps:

• Step 1: Determine rounding to the nearest ten.
  If we consider $12,346$, look at the units digit (6). Since 6 is greater than or equal to 5, we round the number up to $12,350$.
• Step 2: Examine the rounding to the nearest hundred for completeness.
  The tens digit of $12,346$ is 4. Since 4 is less than 5, we would round down to $12,300$.
• Step 3: Compare the results to the choices given:
  The possible answers include $12,340$, $12,350$, $12,400$, and $12,300$. Based on our calculations, $12,350$ is correct for rounding to the nearest ten.

Thus, rounding $12,346$ to the nearest ten results in $12,350$.

Therefore, the correct answer is $\text{choice 3: } 12,350$.

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

• Step 1: Identify the given number and its relevant digits.
• Step 2: Apply the appropriate rounding rules.
• Step 3: Compare the rounded result with the given choices.

Now, let's work through each step:

Step 1: The given number is $7,128$. The relevant digits are the tens digit (2) and the units digit (8).

Step 2: According to the rules for rounding to the nearest ten, if the units digit is 5 or more, we round up the tens digit. Here, the units digit is 8, which is greater than 5, so we add 1 to the tens digit.

Step 3: Rounding up, the tens digit becomes $3$, and the number $7,128$ is rounded to $7,130$.

Therefore, the solution to the problem is $7,130$.

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

• Step 1: Analyze the number given: 1,852.
• Step 2: Determine the place value to round (nearest ten).
• Step 3: Examine the digit in the ones place to determine the rounding action.
• Step 4: Apply rounding rules to decide the new value in tens.

Let us begin:
Step 1: The number given is 1,852.
Step 2: Decide on rounding to the nearest ten, as indicated by choice scope.
Step 3: Look at the digit in the ones place, which is 2.
Step 4: Given that 2 is less than 5, we do not round up; we round down, leaving the tens digit (5) unchanged.
Step 5: Thus, 1,852 rounded to the nearest ten is 1,850.

Therefore, the solution to the problem is $1,850$.

To solve this problem, we'll round the number 2567 to the nearest hundred:

• Step 1: Identify the relevant digits: For 2567, the hundreds digit is 5, and the tens digit is 6.
• Step 2: Determine the rounding rule: Since the tens digit (6) is 5 or greater, we will round up.
• Step 3: Apply the rounding: Adding one to the hundreds digit, 2567 rounds up to 2600.

Therefore, rounding 2567 to the nearest hundred places gives us the solution: $2600$.

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

• Step 1: Identify the tens digit of the number 431.
• Step 2: Apply the rounding rule to the nearest hundred.
• Step 3: Compare with the given choices to select the correct answer.

Now, let's work through each step:
Step 1: The number is 431, and the tens digit is 3 (from the 31 portion).
Step 2: According to rounding rules, since the tens digit (3) is less than 5, we round down. Thus, 431 rounded to the nearest hundred is 400.
Step 3: The choices provided are 500, 400, 440, and 430. The rounded result, 400, matches choice 2.

Therefore, the correct approximation of 431, rounding to the nearest hundred, is $400$.

To solve this problem, we will round the number $870$ to the nearest hundred. Let's follow these steps:

• Step 1: Identify the tens digit of $870$. Here, the tens digit is $7$.
• Step 2: Apply the rounding rule to the hundreds place. Since the tens digit $7$ is greater than or equal to $5$, we will round up.
• Step 3: The hundreds digit will be increased by $1$, rounding $870$ up to the next hundred.

After rounding, $870$ becomes $900$.

Thus, the correct answer to the problem is $900$, corresponding to choice id .

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

• Step 1: Identify the relevant digits
• Step 2: Apply the rounding rule for hundreds
• Step 3: Select the matching choice from provided options

Now, let's work through each step:

Step 1: Consider the number $45,724$. The digit in the hundreds place is 7, and the digit in the tens place is 2.

Step 2: Applying the rule for rounding to the nearest hundred:
The tens digit is 2. Since 2 is less than 5, we round down. Therefore, the hundreds digit remains unchanged.

Step 3: The number 45,724 rounded to the nearest hundred becomes 45,700.

Therefore, the correct choice is $45,700$, which corresponds to choice 4.

To solve this problem, we will round the number 2,670 to the nearest hundred:

• First, we identify the target digit for rounding: in 2,670, this is the hundreds place, '6' (hundreds).
• Next, check the tens digit, which is '7'.
• According to rounding rules, if the tens digit is 5 or greater, round up. If it's less than 5, round down.
• Since 7 is greater than 5, we round up by adding 1 to the hundreds digit.
• This makes the hundreds digit go from 6 to 7, hence 2,670 rounded to the nearest hundred is 2,700.

Therefore, the correct answer is $2,700$.