When rounded to the nearest hundred, which number would be 85,400?

a)85,344
b)85,367
c)85,451
d)85,676

Rounding to the nearest hundred is determined if the tens place is 5 or higher ONLY if we are dealing with a 3 in the hundreds place. If we are dealing with a 4 in the hundreds place, we need to look for 4 or lower in the tens place.
85,400 is our rounded number, so we need to see which of the options round to 400.
A.) 85,344. The tens place is a 4, so it rounds back down to 3. This is incorrect.
B.) 85,367. The tens place is 6, which is 5 or higher. This is a correct answer, but let's see if there are any better ones.
C.) 85,451. The tens place is 5, which the rule goes if a number is 5 or higher, round UP. This means we'd go to 85,500. This is incorrect.
D.) 85,676. The tens place is 7, which the same rule applies. It is 5 or higher, so we need to round up. This means we'd have to go to 85,700. This is incorrect.
Our one and only correct answer is B.) 85,367.
I hope this helps!

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

The answer is b: step 2.