Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable
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Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Let's solve the problem step by step.
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We are given a list of numbers with one digit underlined. We need to round each number to the place value of the underlined digit.
To round:
- Look at the digit immediately to the right of the underlined digit.
- If it is 5 or greater, round up.
- If it is less than 5, keep the underlined digit the same.
- Replace all digits to the right with zeros (or remove them if they're after the decimal).
Let’s go through each number:
---
1. 2,190,538 → underlined digit is 9 (in the ten-thousands place: 190,538 → the '9' is in the ten thousands place)
- The digit to the right is 0 (thousands place).
- Since 0 < 5, we do not round up.
- So, round to 2,190,000
2. 3,564,490 → underlined digit is 6 (hundred thousands place)
- Digit to the right is 4 (ten thousands place)
- 4 < 5 → do not round up
- Answer: 3,500,000
3. 1,668,711 → underlined digit is 6 (hundred thousands place)
- Digit to the right is 6 → 6 ≥ 5 → round up
- 6 + 1 = 7 → becomes 1,700,000
4. 2,321,350 → underlined digit is 3 (ten thousands place)
- Digit to the right is 2 → 2 < 5 → no rounding up
- Answer: 2,300,000
5. 172,650 → underlined digit is 2 (thousands place)
- Digit to the right is 6 → 6 ≥ 5 → round up
- 2 + 1 = 3 → becomes 170,000? Wait — let’s check:
Actually, 172,650 → the 2 is in the thousands place → so we're rounding to nearest thousand.
The number is 172,650 → look at hundreds digit: 6 → round up
So, 172,000 → becomes 173,000
✔ Correct answer: 173,000
6. 912,809 → underlined digit is 1 (ten thousands place)
- Digit to the right is 2 → 2 < 5 → no round up
- Answer: 900,000
7. 2,095,199 → underlined digit is 9 (hundreds place)
- Digit to the right is 5 → 5 ≥ 5 → round up
- 9 + 1 = 10 → carry over
- So, 2,095,199 → round to nearest hundred: 2,095,200
8. 5,287,224 → underlined digit is 8 (ten thousands place)
- Digit to the right is 7 → 7 ≥ 5 → round up
- 8 + 1 = 9 → so 5,290,000
9. 6,335,638 → underlined digit is 3 (hundred thousands place)
- Digit to the right is 3 → 3 < 5 → no round up
- Answer: 6,300,000
10. 233,290 → underlined digit is 2 (hundreds place)
- Digit to the right is 9 → 9 ≥ 5 → round up
- 2 + 1 = 3 → so 233,300
11. 8,124,126 → underlined digit is 1 (hundred thousands place)
- Digit to the right is 2 → 2 < 5 → no round up
- Answer: 8,100,000
12. 1,150,175 → underlined digit is 1 (hundred thousands place)
- Digit to the right is 5 → 5 ≥ 5 → round up
- 1 + 1 = 2 → so 1,200,000
13. 3,769,300 → underlined digit is 7 (hundred thousands place)
- Digit to the right is 6 → 6 ≥ 5 → round up
- 7 + 1 = 8 → so 3,800,000
14. 2,515,110 → underlined digit is 1 (ten thousands place)
- Digit to the right is 5 → 5 ≥ 5 → round up
- 1 + 1 = 2 → so 2,520,000
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| Number | Rounded Value |
|---------------|----------------|
| 2,190,538 | 2,190,000 |
| 3,564,490 | 3,500,000 |
| 1,668,711 | 1,700,000 |
| 2,321,350 | 2,300,000 |
| 172,650 | 173,000 |
| 912,809 | 900,000 |
| 2,095,199 | 2,095,200 |
| 5,287,224 | 5,290,000 |
| 6,335,638 | 6,300,000 |
| 233,290 | 233,300 |
| 8,124,126 | 8,100,000 |
| 1,150,175 | 1,200,000 |
| 3,769,300 | 3,800,000 |
| 2,515,110 | 2,520,000 |
---
Now, we are given numbers and their rounded versions. We must underline the digit in the original number that corresponds to the place value to which it was rounded.
For example:
- If a number is rounded to 2,000,000, then the digit in the millions place (the 2) is the target.
Let’s go through each row:
1. 2,323,059 → 2,000,000
- Rounded to millions → underline the 2 in the millions place → 2,323,059 → underline 2
2. 3,658,235 → 3,660,000
- Rounded to ten thousands → look at the 6 in the ten thousands place → 3,660,000 → so underline the 6 in 3,658,235 → the second digit from left → 3,658,235 → underline 6
3. 145,113 → 150,000
- Rounded to ten thousands → 145,113 → the 4 is in the ten thousands place → but wait: 145,113 → 1 is hundred thousands, 4 is ten thousands → rounding to 150,000 means rounding up from 145,113 → so it's rounding to the ten thousands place → underline the 4? But 150,000 has 5 in ten thousands → so the digit being rounded is the 4 → but we’re rounding up → so we underline the 4 in 145,113 → yes.
→ So underline the 4 in 145,113
4. 534,808 → 500,000
- Rounded to hundred thousands → the 5 in 534,808 is in the hundred thousands place → underline 5
5. 1,009,387 → 1,009,390
- Rounded to tens → look at last two digits: 87 → rounded to 90 → so rounding to tens → underline the 8 in 1,009,387 → because it's the tens digit → 1,009,387 → underline 8
6. 2,552,330 → 2,552,000
- Rounded to hundreds → the 3 in 2,552,330 is in the hundreds place → underline 3
7. 1,146,134 → 1,100,000
- Rounded to hundred thousands → 1,146,134 → the 1 in the hundred thousands place → but wait: 1,146,134 → first 1 is millions, second 1 is hundred thousands → rounded to 1,100,000 → so it's rounding to the hundred thousands place → underline the 1 in the hundred thousands place → so underline the second 1 → 1,146,134 → underline 1
8. 1,244,188 → 1,000,000
- Rounded to millions → the 1 in the millions place → underline 1
9. 589,411 → 590,000
- Rounded to ten thousands → 589,411 → the 8 is in the ten thousands place → but rounded to 590,000 → so the digit being rounded is 8 → underline 8
10. 4,156,130 → 4,156,100
- Rounded to hundreds → the 1 in 4,156,130 → the 1 is in the hundreds place → 4,156,130 → the 3 is in tens, 1 is in hundreds → wait: 4,156,130 → digits:
- 4 → millions
- 1 → hundred thousands
- 5 → ten thousands
- 6 → thousands
- 1 → hundreds
- 3 → tens
- 0 → ones
- So 1 is in the hundreds place → rounded to 4,156,100 → so yes, rounding to hundreds → underline the 1 in 4,156,130
11. 1,044,918 → 1,044,900
- Rounded to tens → the 1 in 1,044,918 → the 1 is in the tens place → 1,044,918 → underline 1
12. 592,276 → 600,000
- Rounded to hundred thousands → the 5 in 592,276 is in the hundred thousands place → rounding up to 600,000 → so underline the 5
13. 3,557,614 → 3,000,000
- Rounded to millions → the 3 in the millions place → underline 3
14. 6,112,423 → 6,100,000
- Rounded to ten thousands → the 1 in 6,112,423 → the 1 is in the ten thousands place → 6,112,423 → underline 1
---
Here’s what you should underline in each original number:
| Original Number | Rounded To | Underline This Digit |
|------------------|------------|------------------------|
| 2,323,059 | 2,000,000 | 2 (millions) |
| 3,658,235 | 3,660,000 | 6 (ten thousands) |
| 145,113 | 150,000 | 4 (ten thousands) |
| 534,808 | 500,000 | 5 (hundred thousands) |
| 1,009,387 | 1,009,390 | 8 (tens) |
| 2,552,330 | 2,552,000 | 3 (hundreds) |
| 1,146,134 | 1,100,000 | 1 (hundred thousands) |
| 1,244,188 | 1,000,000 | 1 (millions) |
| 589,411 | 590,000 | 8 (ten thousands) |
| 4,156,130 | 4,156,100 | 1 (hundreds) |
| 1,044,918 | 1,044,900 | 1 (tens) |
| 592,276 | 600,000 | 5 (hundred thousands) |
| 3,557,614 | 3,000,000 | 3 (millions) |
| 6,112,423 | 6,100,000 | 1 (ten thousands) |
---
You’ve now solved both parts:
- Part 1: Round each number to the underlined digit → filled in the blanks.
- Part 2: Underline the correct digit in the original number based on the rounded result.
Let me know if you'd like this formatted as a completed worksheet!
---
Part 1: Round to the Underlined Digit
We are given a list of numbers with one digit underlined. We need to round each number to the place value of the underlined digit.
To round:
- Look at the digit immediately to the right of the underlined digit.
- If it is 5 or greater, round up.
- If it is less than 5, keep the underlined digit the same.
- Replace all digits to the right with zeros (or remove them if they're after the decimal).
Let’s go through each number:
---
1. 2,190,538 → underlined digit is 9 (in the ten-thousands place: 190,538 → the '9' is in the ten thousands place)
- The digit to the right is 0 (thousands place).
- Since 0 < 5, we do not round up.
- So, round to 2,190,000
2. 3,564,490 → underlined digit is 6 (hundred thousands place)
- Digit to the right is 4 (ten thousands place)
- 4 < 5 → do not round up
- Answer: 3,500,000
3. 1,668,711 → underlined digit is 6 (hundred thousands place)
- Digit to the right is 6 → 6 ≥ 5 → round up
- 6 + 1 = 7 → becomes 1,700,000
4. 2,321,350 → underlined digit is 3 (ten thousands place)
- Digit to the right is 2 → 2 < 5 → no rounding up
- Answer: 2,300,000
5. 172,650 → underlined digit is 2 (thousands place)
- Digit to the right is 6 → 6 ≥ 5 → round up
- 2 + 1 = 3 → becomes 170,000? Wait — let’s check:
Actually, 172,650 → the 2 is in the thousands place → so we're rounding to nearest thousand.
The number is 172,650 → look at hundreds digit: 6 → round up
So, 172,000 → becomes 173,000
✔ Correct answer: 173,000
6. 912,809 → underlined digit is 1 (ten thousands place)
- Digit to the right is 2 → 2 < 5 → no round up
- Answer: 900,000
7. 2,095,199 → underlined digit is 9 (hundreds place)
- Digit to the right is 5 → 5 ≥ 5 → round up
- 9 + 1 = 10 → carry over
- So, 2,095,199 → round to nearest hundred: 2,095,200
8. 5,287,224 → underlined digit is 8 (ten thousands place)
- Digit to the right is 7 → 7 ≥ 5 → round up
- 8 + 1 = 9 → so 5,290,000
9. 6,335,638 → underlined digit is 3 (hundred thousands place)
- Digit to the right is 3 → 3 < 5 → no round up
- Answer: 6,300,000
10. 233,290 → underlined digit is 2 (hundreds place)
- Digit to the right is 9 → 9 ≥ 5 → round up
- 2 + 1 = 3 → so 233,300
11. 8,124,126 → underlined digit is 1 (hundred thousands place)
- Digit to the right is 2 → 2 < 5 → no round up
- Answer: 8,100,000
12. 1,150,175 → underlined digit is 1 (hundred thousands place)
- Digit to the right is 5 → 5 ≥ 5 → round up
- 1 + 1 = 2 → so 1,200,000
13. 3,769,300 → underlined digit is 7 (hundred thousands place)
- Digit to the right is 6 → 6 ≥ 5 → round up
- 7 + 1 = 8 → so 3,800,000
14. 2,515,110 → underlined digit is 1 (ten thousands place)
- Digit to the right is 5 → 5 ≥ 5 → round up
- 1 + 1 = 2 → so 2,520,000
---
✔ Part 1 Answers:
| Number | Rounded Value |
|---------------|----------------|
| 2,190,538 | 2,190,000 |
| 3,564,490 | 3,500,000 |
| 1,668,711 | 1,700,000 |
| 2,321,350 | 2,300,000 |
| 172,650 | 173,000 |
| 912,809 | 900,000 |
| 2,095,199 | 2,095,200 |
| 5,287,224 | 5,290,000 |
| 6,335,638 | 6,300,000 |
| 233,290 | 233,300 |
| 8,124,126 | 8,100,000 |
| 1,150,175 | 1,200,000 |
| 3,769,300 | 3,800,000 |
| 2,515,110 | 2,520,000 |
---
Part 2: Underline the digit to which the number is rounded
Now, we are given numbers and their rounded versions. We must underline the digit in the original number that corresponds to the place value to which it was rounded.
For example:
- If a number is rounded to 2,000,000, then the digit in the millions place (the 2) is the target.
Let’s go through each row:
1. 2,323,059 → 2,000,000
- Rounded to millions → underline the 2 in the millions place → 2,323,059 → underline 2
2. 3,658,235 → 3,660,000
- Rounded to ten thousands → look at the 6 in the ten thousands place → 3,660,000 → so underline the 6 in 3,658,235 → the second digit from left → 3,658,235 → underline 6
3. 145,113 → 150,000
- Rounded to ten thousands → 145,113 → the 4 is in the ten thousands place → but wait: 145,113 → 1 is hundred thousands, 4 is ten thousands → rounding to 150,000 means rounding up from 145,113 → so it's rounding to the ten thousands place → underline the 4? But 150,000 has 5 in ten thousands → so the digit being rounded is the 4 → but we’re rounding up → so we underline the 4 in 145,113 → yes.
→ So underline the 4 in 145,113
4. 534,808 → 500,000
- Rounded to hundred thousands → the 5 in 534,808 is in the hundred thousands place → underline 5
5. 1,009,387 → 1,009,390
- Rounded to tens → look at last two digits: 87 → rounded to 90 → so rounding to tens → underline the 8 in 1,009,387 → because it's the tens digit → 1,009,387 → underline 8
6. 2,552,330 → 2,552,000
- Rounded to hundreds → the 3 in 2,552,330 is in the hundreds place → underline 3
7. 1,146,134 → 1,100,000
- Rounded to hundred thousands → 1,146,134 → the 1 in the hundred thousands place → but wait: 1,146,134 → first 1 is millions, second 1 is hundred thousands → rounded to 1,100,000 → so it's rounding to the hundred thousands place → underline the 1 in the hundred thousands place → so underline the second 1 → 1,146,134 → underline 1
8. 1,244,188 → 1,000,000
- Rounded to millions → the 1 in the millions place → underline 1
9. 589,411 → 590,000
- Rounded to ten thousands → 589,411 → the 8 is in the ten thousands place → but rounded to 590,000 → so the digit being rounded is 8 → underline 8
10. 4,156,130 → 4,156,100
- Rounded to hundreds → the 1 in 4,156,130 → the 1 is in the hundreds place → 4,156,130 → the 3 is in tens, 1 is in hundreds → wait: 4,156,130 → digits:
- 4 → millions
- 1 → hundred thousands
- 5 → ten thousands
- 6 → thousands
- 1 → hundreds
- 3 → tens
- 0 → ones
- So 1 is in the hundreds place → rounded to 4,156,100 → so yes, rounding to hundreds → underline the 1 in 4,156,130
11. 1,044,918 → 1,044,900
- Rounded to tens → the 1 in 1,044,918 → the 1 is in the tens place → 1,044,918 → underline 1
12. 592,276 → 600,000
- Rounded to hundred thousands → the 5 in 592,276 is in the hundred thousands place → rounding up to 600,000 → so underline the 5
13. 3,557,614 → 3,000,000
- Rounded to millions → the 3 in the millions place → underline 3
14. 6,112,423 → 6,100,000
- Rounded to ten thousands → the 1 in 6,112,423 → the 1 is in the ten thousands place → 6,112,423 → underline 1
---
✔ Part 2: Final Underlines
Here’s what you should underline in each original number:
| Original Number | Rounded To | Underline This Digit |
|------------------|------------|------------------------|
| 2,323,059 | 2,000,000 | 2 (millions) |
| 3,658,235 | 3,660,000 | 6 (ten thousands) |
| 145,113 | 150,000 | 4 (ten thousands) |
| 534,808 | 500,000 | 5 (hundred thousands) |
| 1,009,387 | 1,009,390 | 8 (tens) |
| 2,552,330 | 2,552,000 | 3 (hundreds) |
| 1,146,134 | 1,100,000 | 1 (hundred thousands) |
| 1,244,188 | 1,000,000 | 1 (millions) |
| 589,411 | 590,000 | 8 (ten thousands) |
| 4,156,130 | 4,156,100 | 1 (hundreds) |
| 1,044,918 | 1,044,900 | 1 (tens) |
| 592,276 | 600,000 | 5 (hundred thousands) |
| 3,557,614 | 3,000,000 | 3 (millions) |
| 6,112,423 | 6,100,000 | 1 (ten thousands) |
---
✔ Summary
You’ve now solved both parts:
- Part 1: Round each number to the underlined digit → filled in the blanks.
- Part 2: Underline the correct digit in the original number based on the rounded result.
Let me know if you'd like this formatted as a completed worksheet!
Parent Tip: Review the logic above to help your child master the concept of rounding off numbers worksheet.
