Estimating Products worksheet for rounding whole numbers to the nearest hundred and calculating approximate products.
Worksheet titled "Estimating Products" with eight math problems requiring rounding numbers to the nearest hundred and multiplying.
PNG
416×539
11.5 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #935468
⭐
Show Answer Key & Explanations
Step-by-step solution for: Estimating Products Worksheets - 15 Worksheets Library
▼
Show Answer Key & Explanations
Step-by-step solution for: Estimating Products Worksheets - 15 Worksheets Library
Let’s solve each problem step by step. The instruction is:
Round each whole number to the nearest hundred, then multiply the two rounded numbers together.
We’ll go one by one.
---
Problem 1 (already done as example):
452 → rounds to 500
342 → rounds to 300
500 × 300 = 150,000 ✔
---
Problem 2:
561 → rounds to 600 (since 561 is closer to 600 than 500)
231 → rounds to 200 (since 231 is closer to 200 than 300)
600 × 200 = 120,000
---
Problem 3:
712 → rounds to 700 (closer to 700 than 800)
512 → rounds to 500 (closer to 500 than 600)
700 × 500 = 350,000
---
Problem 4:
786 → rounds to 800 (closer to 800 than 700)
312 → rounds to 300 (closer to 300 than 400)
800 × 300 = 240,000
---
Problem 5:
872 → rounds to 900 (closer to 900 than 800)
412 → rounds to 400 (closer to 400 than 500)
900 × 400 = 360,000
---
Problem 6:
569 → rounds to 600 (closer to 600 than 500)
421 → rounds to 400 (closer to 400 than 500)
600 × 400 = 240,000
---
Problem 7:
915 → rounds to 900 (closer to 900 than 1000? Wait — 915 is between 900 and 1000. Since 915 - 900 = 15, and 1000 - 915 = 85 → so yes, closer to 900)
Actually, wait — standard rounding rule: if it’s 5 or more in the tens place, round up.
915 → look at tens digit: 1 → which is less than 5 → so round down to 900
Wait — no! Actually, for rounding to nearest hundred:
Look at the tens digit. If it’s 5 or greater, round up; if less than 5, round down.
So:
- 915 → tens digit is 1 → less than 5 → round down → 900
But actually, let me double-check:
The rule is: Look at the digit in the tens place when rounding to hundreds.
Example:
To round 915 to nearest hundred:
Hundreds digit is 9 (so we’re deciding between 900 and 1000).
Tens digit is 1 → since 1 < 5 → round down → 900
Similarly, 321 → tens digit is 2 → less than 5 → round down → 300
So:
915 → 900
321 → 300
900 × 300 = 270,000
Wait — but some might think 915 is close to 900, yes. Correct.
BUT — hold on! Let me check again:
Standard rounding to nearest hundred:
Rule: Look at the last two digits (the part after the hundreds). If that number is 50 or more, round up. If less than 50, round down.
So:
- 915 → last two digits: 15 → less than 50 → round down → 900
- 321 → last two digits: 21 → less than 50 → round down → 300
Yes, correct.
So 900 × 300 = 270,000
---
Problem 8:
581 → last two digits: 81 → ≥ 50 → round up → 600
316 → last two digits: 16 → < 50 → round down → 300
600 × 300 = 180,000
Wait — 316: tens digit is 1 → less than 5 → round down → 300. Yes.
But let me confirm all with consistent method:
Rounding to nearest hundred:
- Take the number.
- Look at the tens digit (or the number formed by tens and units).
- If that value is 50 or more, round up the hundreds digit by 1.
- If less than 50, keep the hundreds digit same, set rest to zero.
So:
Problem 2:
561 → tens+units = 61 ≥ 50 → round up → 600
231 → 31 < 50 → round down → 200 → 600×200=120,000 ✔️
Problem 3:
712 → 12 < 50 → 700
512 → 12 < 50 → 500 → 700×500=350,000 ✔️
Problem 4:
786 → 86 ≥ 50 → 800
312 → 12 < 50 → 300 → 800×300=240,000 ✔️
Problem 5:
872 → 72 ≥ 50 → 900
412 → 12 < 50 → 400 → 900×400=360,000 ✔️
Problem 6:
569 → 69 ≥ 50 → 600
421 → 21 < 50 → 400 → 600×400=240,000 ✔️
Problem 7:
915 → 15 < 50 → 900
321 → 21 < 50 → 300 → 900×300=270,000 ✔️
Problem 8:
581 → 81 ≥ 50 → 600
316 → 16 < 50 → 300 → 600×300=180,000 ✔️
All checks out.
Now, let’s write the answers clearly for each box.
Final Answer:
1. 500, 300, 150000 (given)
2. 600, 200, 120000
3. 700, 500, 350000
4. 800, 300, 240000
5. 900, 400, 360000
6. 600, 400, 240000
7. 900, 300, 270000
8. 600, 300, 180000
──────────────────────────────────────
Final Answer:
2. 600, 200, 120000
3. 700, 500, 350000
4. 800, 300, 240000
5. 900, 400, 360000
6. 600, 400, 240000
7. 900, 300, 270000
8. 600, 300, 180000
Round each whole number to the nearest hundred, then multiply the two rounded numbers together.
We’ll go one by one.
---
Problem 1 (already done as example):
452 → rounds to 500
342 → rounds to 300
500 × 300 = 150,000 ✔
---
Problem 2:
561 → rounds to 600 (since 561 is closer to 600 than 500)
231 → rounds to 200 (since 231 is closer to 200 than 300)
600 × 200 = 120,000
---
Problem 3:
712 → rounds to 700 (closer to 700 than 800)
512 → rounds to 500 (closer to 500 than 600)
700 × 500 = 350,000
---
Problem 4:
786 → rounds to 800 (closer to 800 than 700)
312 → rounds to 300 (closer to 300 than 400)
800 × 300 = 240,000
---
Problem 5:
872 → rounds to 900 (closer to 900 than 800)
412 → rounds to 400 (closer to 400 than 500)
900 × 400 = 360,000
---
Problem 6:
569 → rounds to 600 (closer to 600 than 500)
421 → rounds to 400 (closer to 400 than 500)
600 × 400 = 240,000
---
Problem 7:
915 → rounds to 900 (closer to 900 than 1000? Wait — 915 is between 900 and 1000. Since 915 - 900 = 15, and 1000 - 915 = 85 → so yes, closer to 900)
Actually, wait — standard rounding rule: if it’s 5 or more in the tens place, round up.
915 → look at tens digit: 1 → which is less than 5 → so round down to 900
Wait — no! Actually, for rounding to nearest hundred:
Look at the tens digit. If it’s 5 or greater, round up; if less than 5, round down.
So:
- 915 → tens digit is 1 → less than 5 → round down → 900
But actually, let me double-check:
The rule is: Look at the digit in the tens place when rounding to hundreds.
Example:
To round 915 to nearest hundred:
Hundreds digit is 9 (so we’re deciding between 900 and 1000).
Tens digit is 1 → since 1 < 5 → round down → 900
Similarly, 321 → tens digit is 2 → less than 5 → round down → 300
So:
915 → 900
321 → 300
900 × 300 = 270,000
Wait — but some might think 915 is close to 900, yes. Correct.
BUT — hold on! Let me check again:
Standard rounding to nearest hundred:
Rule: Look at the last two digits (the part after the hundreds). If that number is 50 or more, round up. If less than 50, round down.
So:
- 915 → last two digits: 15 → less than 50 → round down → 900
- 321 → last two digits: 21 → less than 50 → round down → 300
Yes, correct.
So 900 × 300 = 270,000
---
Problem 8:
581 → last two digits: 81 → ≥ 50 → round up → 600
316 → last two digits: 16 → < 50 → round down → 300
600 × 300 = 180,000
Wait — 316: tens digit is 1 → less than 5 → round down → 300. Yes.
But let me confirm all with consistent method:
Rounding to nearest hundred:
- Take the number.
- Look at the tens digit (or the number formed by tens and units).
- If that value is 50 or more, round up the hundreds digit by 1.
- If less than 50, keep the hundreds digit same, set rest to zero.
So:
Problem 2:
561 → tens+units = 61 ≥ 50 → round up → 600
231 → 31 < 50 → round down → 200 → 600×200=120,000 ✔️
Problem 3:
712 → 12 < 50 → 700
512 → 12 < 50 → 500 → 700×500=350,000 ✔️
Problem 4:
786 → 86 ≥ 50 → 800
312 → 12 < 50 → 300 → 800×300=240,000 ✔️
Problem 5:
872 → 72 ≥ 50 → 900
412 → 12 < 50 → 400 → 900×400=360,000 ✔️
Problem 6:
569 → 69 ≥ 50 → 600
421 → 21 < 50 → 400 → 600×400=240,000 ✔️
Problem 7:
915 → 15 < 50 → 900
321 → 21 < 50 → 300 → 900×300=270,000 ✔️
Problem 8:
581 → 81 ≥ 50 → 600
316 → 16 < 50 → 300 → 600×300=180,000 ✔️
All checks out.
Now, let’s write the answers clearly for each box.
Final Answer:
1. 500, 300, 150000 (given)
2. 600, 200, 120000
3. 700, 500, 350000
4. 800, 300, 240000
5. 900, 400, 360000
6. 600, 400, 240000
7. 900, 300, 270000
8. 600, 300, 180000
──────────────────────────────────────
Final Answer:
2. 600, 200, 120000
3. 700, 500, 350000
4. 800, 300, 240000
5. 900, 400, 360000
6. 600, 400, 240000
7. 900, 300, 270000
8. 600, 300, 180000
Parent Tip: Review the logic above to help your child master the concept of multiplication estimation worksheet.