Questions: Kuta Software - Infinite Pre-Algebra
Rounding Numbers
Round each to the place indicated.
1) 8,632,051 9,000,000
3) 803,119 7 p 0,000
5) 2,461,612,242
7) 9,885,659,260; billions
9) 347,168; ten thousands
11) 1,399,179; thousands
13) 44.5443495
15) 8.74959 80
17) 0.7209 1
19) 9.3113; thousandths
Transcript text: Kuta Software - Infinite Pre-Algebra
Rounding Numbers
Round each to the place indicated.
1) $8,632,051 \quad 9,000,000$
3) $803,119 \quad 7 p 0,000$
5) $2,461,612,242$
7) $9,885,659,260$; billions
9) 347,168 ; ten thousands
11) $1,399,179$; thousands
13) 44.5443495
15) $8.7495 \underline{9} 80$
17) $0.720 \underline{9} 1$
19) 9.3113 ; thousandths
Solution
Solution Steps
To round numbers to a specific place, identify the digit at the place you are rounding to and look at the digit immediately to the right. If this digit is 5 or greater, increase the digit at the rounding place by 1. If it is less than 5, leave the digit at the rounding place unchanged. Replace all digits to the right of the rounding place with zeros (for whole numbers) or remove them (for decimals).
Step 1: Round \( 8,632,051 \) to the nearest million
To round \( 8,632,051 \) to the nearest million, we look at the digit in the hundred-thousands place, which is \( 6 \). Since \( 6 \geq 5 \), we round up. Thus, \( 8,632,051 \) rounds to \( 9,000,000 \).
Step 2: Round \( 803,119 \) to the nearest ten thousand
For \( 803,119 \), we examine the digit in the thousand place, which is \( 3 \). Since \( 3 < 5 \), we do not round up. Therefore, \( 803,119 \) rounds to \( 800,000 \).
Step 3: Round \( 2,461,612,242 \) to the nearest billion
In rounding \( 2,461,612,242 \) to the nearest billion, we check the digit in the hundred-million place, which is \( 4 \). Since \( 4 < 5 \), we do not round up. Thus, \( 2,461,612,242 \) rounds to \( 2,000,000,000 \).