Round the given number to the nearest 100 000 000.
A
Practice makes perfect
We want to match the given number with its closest approximation written as the product of a single digit and a power of 10.
Given Number
782 309 441 [0.8em]
Approximations
A. 8* 10^8 B. 6* 10^(- 4) C. 7* 10^(- 4) D. 7* 10^9
Let's start by rounding the given number to the nearest 100 000 000. Since the digit in the ten millions place is greater than or equal to 5, we will round up the digit in the hundred millions place.
7 82 309 441 ≈ 800 000 000
Finally, we will rewrite the approximations.
Choice
Approximation
Number
A.
8* 10^8
800 000 000
B.
6* 10^(- 4)
0.0006
C.
7* 10^(- 4)
0.0007
D.
7* 10^9
7 000 000 000
We can see that the closest approximation is choice A.
Alternative Solution
Rewriting the number
We are given a number and want to match it to its closest approximation.
782 309 441
Let's use the approximation we found in the main solution and rewrite it.
7 82 309 441 ≈ 800 000 000
We will write it as the product of a single digit and a power of 10. Let's start by factoring out 8!
