Simple math problems...EASY points!?

Question

Round to the 2nd decimal place
a)78.6994
b)78.0009
Round to the nearest hundreth
a) 30095.9995
b)78.0009

Answer 1

78.70
78.00
30096.00
78.00

Answer 2

A little difficult to explain in this way, but ill tell you this: decimal numbers are rounded by remembering that you have to use the next decimal than the one needed, that one works as an indicator of where the digit should be rounded to. The main rule is:
"To round a decimal number you take all decimals and only use one more decimal than what you actually need (i.e.: if you round to 1st decimal place you take 2 decimals, if you want to round to the 2nd decimal place you take 3 decimals, and such). If the last decimal is above 5, you round to the nearest higher number; if the last decimal is below 5, you round to the nearest lower digit, and if the last digit is a 5, then you check also the decimal to be rounded (the one before the last): if it's even, you round to the nearest lower, if it's odd, you round to the nearest higher"

a) 78.6994 => you want to round to the 2nd decimal place so you take the first 3 decimals: 78.699 and you check this rule
"if the last decimal is above 5, you round to the nearest higher number"
in this case, the 9 (the last nine) is above 5, 9>5, so you round the 69 to 70.
ANSWER: 78.70

b) 78.0009 => you do the same, take the first 3 decimals
78.000 and you see the second part of the rule:
"if the last decimal is below 5, you round to the nearest lower digit" so 0<5, and the 78.000 stays that way, because in any case, it's already rounded.
ANSWER: 78.00

to the nearest hudredth is the same thing, you just remember that given the case you now need 3 decimals you take the first 4 decimals and do the analysis:

a) 30095.9995 => for this you need 4 decimals since you wanted to round the third (to the hundredth), you check the last decimal, it's five. That's the third part of the rule to round:
"if the last digit is a 5, then you check also the third digit: if it's even, you round to the nearest lower, if it's odd, you round to the nearest higher"
so, the number 30095.9995 has a 5 in the fourth decimal place, so you check the third decimal place, the last 9, which is odd, makes the number to be rounded to the higher digit, so it will be for 30095.999 to be rounded, and the 0.999 becomes 1.000, so ANSWER: 30096.000

b) 78.0009 is a lot easier, you just take the last, which is a 9, and you know that it's higher than 5 so it's rounded to a higher number
ANSWER: 78.001

Answer 3

The 2nd decimal place -is- the nearest hundredth, so we're doing the same thing in all four instances:

a) 78.6994 look after 78.69... is the next number higher or lower than "5"? It's higher than 5. Therefore we round up. The number is now 78.70, and we can ignore the rest

b) 78.0009 same procedure here. Is the next number after 78.00 higher or lower than "5"? It's lower than 5. Now it's easy. We just cut off the rest of the numbers and forget about them: 78.00

c) 30095.9995 Is the number after 30095.99 higher or lower than "5"? It's higher. So we round up. The number is now 30096.00, and we forget the rest.

d) 78.0009 Is the number after 78.00 higher or lower than "5"? It's lower. So we just forget about them. The number is now 78.00.

Answer 4

You should be able to do this. For the second decimal look to the third and the nearst hundreth would be the 2nd decimal.

a.78.70 b. 78.00

a. 30096.00 b. 78.00

(You should pay more attention in class)

Answer 5

a) 78.70

b) 78.00

hundredth

a) 30096.00

b) 78.00

I think that hundredth and 2nd decimal place is the same concept.

Answer 6

a) 78.70
b) 78
c) 30095
d) 78

Answer 7

a) 78.7
b) 78
c) 30096
d)78.001

Answer 8

a. 78.7
b. 78.0

a. 30096
b. 78.0

Answer 9

a)78.70
b)78.00


a)30096.00
b)78.00

Answer 10

78.70
78.00

30096
78

I think