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

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 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: 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 $1,850$.