It seems you're looking for guidance on how to divide multi-digit whole numbers, estimate predictions, check for accuracy, and apply these skills to real-world situations. Here's a breakdown of each component:
1. Divide Multi-Digit Whole Numbers
To divide multi-digit numbers, you can use long division. Here's a step-by-step approach:
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Step 1: Set up the long division. Place the dividend (the number being divided) inside the division bracket and the divisor (the number you are dividing by) outside.
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Step 2: Determine how many times the divisor can fit into the first digits of the dividend.
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Step 3: Write that number above the division bracket. Multiply it by the divisor and write the result under the part of the dividend you are considering.
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Step 4: Subtract this result from the dividend segment you considered, and bring down the next digit of the dividend.
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Step 5: Repeat the process until you’ve brought down all digits of the dividend.
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Step 6: If there is a remainder, it can be expressed alongside the quotient.
Example: Divide 348 by 12.
- \( 12 \) goes into \( 34 \) \( 2 \) times (since \( 12 \times 2 = 24 \)).
- Write \( 2 \) above the \( 4 \), subtract \( 24 \) from \( 34 \) (giving \( 10 \)), then bring down the \( 8 \) (making \( 108 \)).
- \( 12 \) goes into \( 108 \) \( 9 \) times (since \( 12 \times 9 = 108 \)).
- Write \( 9 \) above the line.
- The result is \( 29 \) with no remainder.
2. Estimate to Predict
Estimation can help you quickly gauge what the answer might be, which is useful in determining if your answer is reasonable.
- Step 1: Round the dividend and the divisor to the nearest whole number.
- Step 2: Divide the rounded numbers to get a rough estimate.
Example: Estimate \( 348 \div 12 \):
- Round \( 348 \) to \( 350 \) and \( 12 \) to \( 10 \).
- Estimate: \( 350 \div 10 = 35 \).
This gives you a rough idea of the actual answer being in the 30s.
3. Check for Accuracy
Once you have your quotient, you can check the accuracy of your division by multiplying the quotient by the divisor and adding any remainder, as follows:
Example: Using our previous example:
- The quotient was \( 29 \) and the divisor is \( 12 \).
- Multiply: \( 29 \times 12 = 348 \).
- Since there's no remainder, our original division is correct!
4. Real-World Situations
You can apply division of multi-digit numbers to real-world problems such as:
- Budgeting: If you have a total budget of $348 to spend on 12 items, division can help you determine how much you can spend on each item.
- Sharing: If you are sharing something (like pizza or candy) between friends, dividing the total quantity by the number of friends can help figure out how much each person gets.
Example: If you have 348 slices of pizza and want to share them equally among 12 people:
- You would use division: \( 348 \div 12 = 29 \).
- Each person receives 29 slices of pizza.
This methodological approach will help you confidently divide multi-digit numbers, make estimates, check for accuracy, and apply these skills in practical situations.