Rounding Numbers up to 10,000: Rounding to nearest 10 and 100

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 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 .