Solve: $2,496 ÷ 16 Grandchildren Monthly Distribution Problem

Q: Why do I divide instead of multiply?

Division splits things into equal groups! When you have a total amount and need to share it equally, division tells you how much each person gets. Multiplication would give you the total if you knew individual amounts.

Q: How can I check if 156 × 16 really equals 2496?

Break it down: $ 156 \times 16 = 156 \times 10 + 156 \times 6 = 1560 + 936 = 2496 $. Or use the fact that $ 156 \times 16 = 156 \times 2 \times 8 = 312 \times 8 = 2496 $!

Q: Is there a faster way to divide by 16?

Yes! Since 16 = 2 × 2 × 2 × 2, you can divide by 2 four times: $ 2496 \div 2 = 1248 \div 2 = 624 \div 2 = 312 \div 2 = 156 $. This works great for powers of 2!

Q: What if I made an error in my long division?

Always multiply your answer back to check! If $ 156 \times 16 \neq 2496 $, then you know to redo the division. Also double-check that you lined up digits correctly in each step.

Division with Equal Distribution

Sebastian has 16 grandchildren and each month he distributes among them a total of $2,496.

How much does each grandchild receive each month?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:11 Let's solve this problem together.

00:14 First, divide the leftmost digit of the dividend.

00:18 Since two is less than sixteen, include the next digit, then divide.

00:26 Write the result above, aligned correctly over the dividend.

00:30 Now, multiply this result by the divisor.

00:34 Next, subtract the product from the current number.

00:38 Bring down the next digit and repeat these steps.

00:42 Divide, and write the result carefully above.

00:46 Multiply that result and subtract again.

00:51 Next, bring down the following digit and continue.

00:56 Divide one more time.

01:01 Write the final result above, double-checking the position.

01:05 Multiply the last result and subtract like before.

01:09 Here, we've got a remainder of zero.

01:12 And that's how we solve this problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Sebastian has 16 grandchildren and each month he distributes among them a total of $2,496.

How much does each grandchild receive each month?

Step-by-step solution

To solve this problem, we'll proceed with the following steps:

Step 1: Identify the given information: Total distribution amount is $2,496, the number of grandchildren is 16.
Step 2: Use the division formula to find the amount each grandchild receives.
Step 3: Perform the calculation.

Now, let's work through each step:

Step 1: We know that the total amount to distribute is $2,496, and there are 16 grandchildren.

Step 2: We use the formula $x = \frac{\text{Total Amount}}{\text{Number of Grandchildren}}$ .

Step 3: Plug in the numbers: $x = \frac{2496}{16}$ .

When we divide $2496 \div 16$ , we get:

$2496 \div 16 = 156$ .

Therefore, each grandchild receives $\$156$ every month.

Final Answer

$ $156$

Key Points to Remember

Essential concepts to master this topic

Formula: Amount per person equals total amount divided by number of people
Technique: Set up $\frac{2496}{16}$ and use long division method
Check: Multiply answer by 16: $156 \times 16 = 2496$ ✓

Common Mistakes

Avoid these frequent errors

Switching dividend and divisor positions
Don't calculate 16 ÷ 2496 = 0.0064! This gives the fraction of money instead of dollars per grandchild. Always put the total amount first: 2496 ÷ 16.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I divide instead of multiply?

Division splits things into equal groups! When you have a total amount and need to share it equally, division tells you how much each person gets. Multiplication would give you the total if you knew individual amounts.

What if the division doesn't come out evenly?

In real life, you might get a remainder or decimal! For money problems, you'd typically round to the nearest cent or handle the remainder separately. But in this problem, $2496 \div 16$ divides evenly.

How can I check if 156 × 16 really equals 2496?

Break it down: $156 \times 16 = 156 \times 10 + 156 \times 6 = 1560 + 936 = 2496$ . Or use the fact that $156 \times 16 = 156 \times 2 \times 8 = 312 \times 8 = 2496$ !

Is there a faster way to divide by 16?

Yes! Since 16 = 2 × 2 × 2 × 2, you can divide by 2 four times: $2496 \div 2 = 1248 \div 2 = 624 \div 2 = 312 \div 2 = 156$ . This works great for powers of 2!

What if I made an error in my long division?

Always multiply your answer back to check! If $156 \times 16 \neq 2496$ , then you know to redo the division. Also double-check that you lined up digits correctly in each step.

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