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

Problem Overview:

The task is to round each number to the nearest value based on the underlined digit. The underlined digit indicates the place value to which the number should be rounded. Here's a step-by-step explanation of how to solve each problem.

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Key Rules for Rounding:

1. Identify the underlined digit.
2. Look at the digit immediately to the right of the underlined digit.
- If this digit is 5 or greater, round up the underlined digit by 1.
- If this digit is less than 5, keep the underlined digit as it is.
3. Replace all digits to the right of the underlined digit with zeros (for whole numbers) or drop them (for decimals).

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Solutions:

#### 1. \( 7,1\underline{2}0,346,671 \)
- Underlined digit: 2 (hundreds of millions place)
- Digit to the right: 0
- Since 0 < 5, do not round up.
- Result: \( 7,100,000,000 \)

#### 2. \( 9,1\underline{1}7,531,211 \)
- Underlined digit: 1 (hundreds of millions place)
- Digit to the right: 7
- Since 7 ≥ 5, round up the underlined digit.
- Result: \( 9,100,000,000 \)

#### 3. \( 7,850,\underline{2}86,457 \)
- Underlined digit: 2 (ten millions place)
- Digit to the right: 8
- Since 8 ≥ 5, round up the underlined digit.
- Result: \( 7,860,000,000 \)

#### 4. \( 5,\underline{1}86,744,010 \)
- Underlined digit: 1 (billions place)
- Digit to the right: 8
- Since 8 ≥ 5, round up the underlined digit.
- Result: \( 6,000,000,000 \)

#### 5. \( 7,\underline{3}63,464,582 \)
- Underlined digit: 3 (billions place)
- Digit to the right: 6
- Since 6 ≥ 5, round up the underlined digit.
- Result: \( 8,000,000,000 \)

#### 6. \( \underline{4}08,084,290 \)
- Underlined digit: 4 (hundreds of millions place)
- Digit to the right: 0
- Since 0 < 5, do not round up.
- Result: \( 400,000,000 \)

#### 7. \( 2,291,\underline{0}42,608 \)
- Underlined digit: 0 (millions place)
- Digit to the right: 4
- Since 4 < 5, do not round up.
- Result: \( 2,290,000,000 \)

#### 8. \( 2,1\underline{7}9,315,300 \)
- Underlined digit: 7 (hundreds of millions place)
- Digit to the right: 9
- Since 9 ≥ 5, round up the underlined digit.
- Result: \( 2,200,000,000 \)

#### 9. \( 4,\underline{1}59,221,024 \)
- Underlined digit: 1 (billions place)
- Digit to the right: 5
- Since 5 ≥ 5, round up the underlined digit.
- Result: \( 5,000,000,000 \)

#### 10. \( 5,2\underline{6}7,023,766 \)
- Underlined digit: 6 (hundreds of millions place)
- Digit to the right: 7
- Since 7 ≥ 5, round up the underlined digit.
- Result: \( 5,300,000,000 \)

#### 11. \( 5,6\underline{5}5,883,829 \)
- Underlined digit: 5 (tens of millions place)
- Digit to the right: 5
- Since 5 ≥ 5, round up the underlined digit.
- Result: \( 5,660,000,000 \)

#### 12. \( \underline{6},670,206,445 \)
- Underlined digit: 6 (billions place)
- Digit to the right: 6
- Since 6 ≥ 5, round up the underlined digit.
- Result: \( 7,000,000,000 \)

#### 13. \( 36\underline{5},314,339 \)
- Underlined digit: 5 (millions place)
- Digit to the right: 3
- Since 3 < 5, do not round up.
- Result: \( 360,000,000 \)

#### 14. \( 8,6\underline{6}8,724,463 \)
- Underlined digit: 6 (hundreds of millions place)
- Digit to the right: 8
- Since 8 ≥ 5, round up the underlined digit.
- Result: \( 8,700,000,000 \)

#### 15. \( 6,5\underline{3}4,683,178 \)
- Underlined digit: 3 (hundreds of millions place)
- Digit to the right: 4
- Since 4 < 5, do not round up.
- Result: \( 6,500,000,000 \)

#### 16. \( 5,81\underline{0},333,246 \)
- Underlined digit: 0 (tens of millions place)
- Digit to the right: 3
- Since 3 < 5, do not round up.
- Result: \( 5,810,000,000 \)

#### 17. \( 1,5\underline{4}9,302,794 \)
- Underlined digit: 4 (hundreds of millions place)
- Digit to the right: 9
- Since 9 ≥ 5, round up the underlined digit.
- Result: \( 1,550,000,000 \)

#### 18. \( 9,9\underline{7}4,531,524 \)
- Underlined digit: 7 (hundreds of millions place)
- Digit to the right: 4
- Since 4 < 5, do not round up.
- Result: \( 9,970,000,000 \)

#### 19. \( 7\underline{2}8,223,190 \)
- Underlined digit: 2 (hundreds of millions place)
- Digit to the right: 8
- Since 8 ≥ 5, round up the underlined digit.
- Result: \( 730,000,000 \)

#### 20. \( 9,19\underline{8},301,704 \)
- Underlined digit: 8 (millions place)
- Digit to the right: 3
- Since 3 < 5, do not round up.
- Result: \( 9,190,000,000 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 7,100,000,000 \\
2. & 9,100,000,000 \\
3. & 7,860,000,000 \\
4. & 6,000,000,000 \\
5. & 8,000,000,000 \\
6. & 400,000,000 \\
7. & 2,290,000,000 \\
8. & 2,200,000,000 \\
9. & 5,000,000,000 \\
10. & 5,300,000,000 \\
11. & 5,660,000,000 \\
12. & 7,000,000,000 \\
13. & 360,000,000 \\
14. & 8,700,000,000 \\
15. & 6,500,000,000 \\
16. & 5,810,000,000 \\
17. & 1,550,000,000 \\
18. & 9,970,000,000 \\
19. & 730,000,000 \\
20. & 9,190,000,000 \\
\end{array}
}
\]