Rounding Numbers upto billions - Math Worksheets - MathsDiary.com - Free Printable

The image shows a math worksheet titled "Rounding Numbers up to Billions", with the instruction: "Round the underlined digit." Each problem presents a large number with one digit underlined, and the goal is to round the number to the place value of that underlined digit.

Let’s go through the process and verify each answer step by step. The general rule for rounding:

> Look at the digit to the right of the underlined digit:
> - If it's 5 or greater, round up.
> - If it's less than 5, round down.

We'll analyze each problem:

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1. 8,858,811,139 → underlined digit is 5 (hundred millions place)

- Number: 8,858,811,139
- Digit to the right: 8 (ten millions)
- Since 8 ≥ 5 → Round up the 5 to 6
- Result: 8,860,000,000 ✔

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2. 7,427,917,453 → underlined digit is 4 (hundred millions)

- Number: 7,427,917,453
- Digit to the right: 2 (ten millions)
- 2 < 5 → Round down
- Result: 7,400,000,000 ✔

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3. 1,625,132,635 → underlined digit is 1 (billions)

- Number: 1,625,132,635
- Digit to the right: 6 (hundred millions)
- 6 ≥ 5 → Round up → 1 + 1 = 2
- Result: 2,000,000,000 ✔

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4. 3,684,874,167 → underlined digit is 3 (billions)

- Number: 3,684,874,167
- Digit to the right: 6 (hundred millions)
- 6 ≥ 5 → Round up → 3 + 1 = 4
- Result: 4,000,000,000 ✔

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5. 1,045,294,811 → underlined digit is 5 (millions)

- Number: 1,045,294,811
- Digit to the right: 2 (hundred thousands)
- 2 < 5 → Round down
- Result: 1,045,000,000 ✔

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6. 4,495,385,445 → underlined digit is 5 (millions)

- Number: 4,495,385,445
- Digit to the right: 3 (hundred thousands)
- 3 < 5 → Round down
- Result: 4,495,000,000 ✔

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7. 5,156,802,937 → underlined digit is 6 (millions)

- Number: 5,156,802,937
- Digit to the right: 8 (hundred thousands)
- 8 ≥ 5 → Round up → 6 → 7
- Result: 5,157,000,000 ✔

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8. 1,809,533,490 → underlined digit is 1 (billions)

- Number: 1,809,533,490
- Digit to the right: 8 (hundred millions)
- 8 ≥ 5 → Round up → 1 → 2
- Result: 2,000,000,000 ✔

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9. 4,498,368,783 → underlined digit is 3 (hundred thousands)

- Number: 4,498,368,783
- Wait — let’s check the place values:
- 4,498,368,783 → digits:
Billions: 4 | Hundred millions: 4 | Ten millions: 9 | Millions: 8 | Hundred thousands: 3 | Ten thousands: 6 | ...
- Underlined digit: 3 in hundred thousands place
- Digit to the right: 6 (ten thousands)
- 6 ≥ 5 → Round up → 3 → 4
- So: 4,498,400,000 ✔

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10. 5,045,446,403 → underlined digit is 0 (hundred millions)

- Number: 5,045,446,403
- Digit to the right: 4 (ten millions)
- 4 < 5 → Round down → keep 0
- Result: 5,000,000,000 ✔

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11. 6,137,898,650 → underlined digit is 6 (billions)

- Number: 6,137,898,650
- Digit to the right: 1 (hundred millions)
- 1 < 5 → Round down → stays 6
- Result: 6,000,000,000 ✔

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12. 2,620,226,730 → underlined digit is 6 (hundred millions)

- Number: 2,620,226,730
- Digit to the right: 2 (ten millions)
- 2 < 5 → Round down → stays 6
- Result: 2,600,000,000 ✔

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13. 2,294,524,064 → underlined digit is 4 (millions)

- Number: 2,294,524,064
- Digit to the right: 5 (hundred thousands)
- 5 ≥ 5 → Round up → 4 → 5
- Result: 2,295,000,000 ✔

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14. 4,662,454,710 → underlined digit is 6 (hundred millions)

- Number: 4,662,454,710
- Digit to the right: 6 (ten millions)
- 6 ≥ 5 → Round up → 6 → 7
- But wait: 4,662... → rounding up from 662 million?
- Actually, the underlined digit is the second 6 in 4,662...
- Let's break it down:
- 4,662,454,710
- Billions: 4
- Hundred millions: 6
- Ten millions: 6
- Millions: 2
- So underlined digit is 6 in hundred millions
- Next digit: 6 (ten millions) → ≥ 5 → round up
- So 4,662 → becomes 4,700 million? But we’re rounding the hundred millions place
- So 4,662,454,710 → round to nearest hundred million
- Look at ten millions digit: 6 → round up
- So 4,662 → becomes 4,700 million → 4,700,000,000
- But the answer shown is 4,660,000,000 ✘

Wait — this seems incorrect.

Let’s double-check:

- Number: 4,662,454,710
- Underlined digit: 6 (hundred millions place)
- Digit to the right: 6 (ten millions)
- Since 6 ≥ 5 → we round up the 6 to 7
- So 4,662,454,710 → rounded to nearest 100 million → 4,700,000,000

But the answer given is 4,660,000,000 → which would be if we rounded down, but we should round up.

✘ Mistake in the answer!

Correct answer should be: 4,700,000,000

But the sheet says: 4,660,000,000 → This is wrong.

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15. 1,127,409,873 → underlined digit is 7 (millions)

- Number: 1,127,409,873
- Digit to the right: 4 (hundred thousands)
- 4 < 5 → Round down → stay 7
- Result: 1,127,000,000 ✔

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16. 5,165,291,038 → underlined digit is 5 (hundred millions)

- Number: 5,165,291,038 → Wait: underlined is 5?
- Wait: 5,165,291,038 → the first digit is 5 (billions), then 1 (hundred millions), then 6 (ten millions), etc.
- But the underlined digit is 5 → is it the first 5?

Looking back: 5,165,291,038 → underlined is the first 5 → billions place

So:
- Number: 5,165,291,038
- Digit to the right: 1 (hundred millions)
- 1 < 5 → Round down → stays 5
- Result: 5,000,000,000 ✔

Yes, correct.

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17. 4,310,902,024 → underlined digit is 0 (ten thousands)

- Number: 4,310,902,024 → Wait, underlined is 0?
- Let’s see: 4,310,902,024
- Positions:
Billions: 4
Hundred millions: 3
Ten millions: 1
Millions: 0
Hundred thousands: 9
Ten thousands: 0 ← underlined
Thousands: 2
Hundreds: 0
Tens: 2
Units: 4

Underlined digit is 0 in ten thousands place.

To round to ten thousands, look at the thousands digit: 2

2 < 5 → Round down → so 0 stays 0

So: 4,310,902,024 → rounded to nearest 10,000 → 4,310,900,000

But the answer given is 4,311,000,000 → which is wrong.

Wait — is the underlined digit 0 or 1?

Let’s recheck the image.

In the image: 4,310,902,024 → underlined digit is 0? Or 1?

Wait — looking carefully: the underlined digit is 0 in 310, so 4,310,902,024 → the 0 is in the hundred thousands place?

No — let's count:

- 4,310,902,024
- Break into groups: 4 billion, 310 million, 902 thousand, 024
- So:
- Billions: 4
- Hundred millions: 3
- Ten millions: 1
- Millions: 0 ← this is the 0 in "310"
- Hundred thousands: 9
- Ten thousands: 0
- Thousands: 2
- ...

Wait — the underlined digit is the 0 in 310, which is the millions place?

Wait — "310" is 310 million → so:
- 3 = hundred millions
- 1 = ten millions
- 0 = millions

Ah! So the underlined digit is 0 in the millions place.

So: 4,310,902,024 → underlined is 0 in millions

So we are rounding to the millions place.

Digit to the right: 9 (hundred thousands)

9 ≥ 5 → round up → 0 → 1

So: 4,310 → becomes 4,311 million → 4,311,000,000

So result: 4,311,000,000 ✔

Yes — correct.

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18. 7,725,544,774 → underlined digit is 5 (hundred thousands)

- Number: 7,725,544,774
- Underlined: 5 in hundred thousands place
- Digit to the right: 4 (ten thousands)
- 4 < 5 → Round down
- So 5 stays 5
- Result: 7,725,500,000 ✔

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19. 9,329,978,400 → underlined digit is 9 (hundred millions)

- Number: 9,329,978,400 → underlined is 9? No — wait: the underlined digit is 9 in 9,329...

Wait — number: 9,329,978,400

Underlined digit is 9 → the first 9 → billions

So: 9,329,978,400

Digit to the right: 3 (hundred millions)

3 < 5 → Round down → stays 9

Result: 9,000,000,000 ✔

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20. 249,955,162 → underlined digit is 9 (hundred thousands)

- Number: 249,955,162
- Underlined: 9 in hundred thousands place → position: 249,955,162
- Break down:
- Hundred millions: 2
- Ten millions: 4
- Millions: 9
- Hundred thousands: 9
- Ten thousands: 5
- Thousands: 5
- Hundreds: 1
- Tens: 6
- Units: 2

So underlined digit: 9 in hundred thousands place

We are rounding to the hundred thousands place.

Look at the digit to the right: 5 (ten thousands)

5 ≥ 5 → round up → 9 → 10

So we carry over: 249,955,162 → becomes 250,000,000

Because 249 + 1 = 250 million → 250,000,000

✔ Correct.

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Summary of Errors:

Only one problem appears incorrect:

#### Problem #14: 4,662,454,710 → underlined digit is 6 (hundred millions)

- Number: 4,662,454,710
- Underlined: 6 in hundred millions place
- Digit to the right: 6 (ten millions) → ≥ 5 → round up
- So: 4,662 → becomes 4,700 million → 4,700,000,000
- But the answer given is 4,660,000,000 → ✘ Incorrect

This should be corrected.

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Final Answer:

✔ All answers are correct except:

> Problem 14:
> Given: 4,662,454,710 = 4,660,000,000 ✘
> Correct answer: 4,700,000,000 ✔

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✔ Corrected Worksheet:

| Problem | Number | Rounded |
|--------|--------|--------|
| 1 | 8,858,811,139 | 8,860,000,000 |
| 2 | 7,427,917,453 | 7,400,000,000 |
| 3 | 1,625,132,635 | 2,000,000,000 |
| 4 | 3,684,874,167 | 4,000,000,000 |
| 5 | 1,045,294,811 | 1,045,000,000 |
| 6 | 4,495,385,445 | 4,495,000,000 |
| 7 | 5,156,802,937 | 5,157,000,000 |
| 8 | 1,809,533,490 | 2,000,000,000 |
| 9 | 4,498,368,783 | 4,498,400,000 |
| 10 | 5,045,446,403 | 5,000,000,000 |
| 11 | 6,137,898,650 | 6,000,000,000 |
| 12 | 2,620,226,730 | 2,600,000,000 |
| 13 | 2,294,524,064 | 2,295,000,000 |
| 14 | 4,662,454,710 | 4,700,000,000 ✔ (not 4,660,000,000) |
| 15 | 1,127,409,873 | 1,127,000,000 |
| 16 | 5,165,291,038 | 5,000,000,000 |
| 17 | 4,310,902,024 | 4,311,000,000 |
| 18 | 7,725,544,774 | 7,725,500,000 |
| 19 | 9,329,978,400 | 9,000,000,000 |
| 20 | 249,955,162 | 250,000,000 |

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✔ Conclusion:

The worksheet is mostly correct, but Problem 14 has an error. The correct answer is 4,700,000,000, not 4,660,000,000.