Agroup of people have the number 12345.6789 written on a piece of paper. then the group decides to play a game. the winner of the game is the person who can round the given number and get a number higher than any other person. alice rounds to the nearest ten-thousand, bob to the nearest thousand, carol to the nearest hundred, devon to the nearest ten, and eugene to the nearest whole number. in addition, felicity rounds the number to the nearest tenth, gerald to the nearest hundredth, harry to the nearest thousandth, and irene rounds to the nearest ten-thousandth. who wins the game?

Obviously it's Eugene who rounded up the number to the nearest whole number, that is 12346

nope it is devon who wins the game, because the number goes to the ten-thousandths place, and that is where Irene rounds to, Irene will end up with the given number. Since we are looking for the largest number in the group, anyone who ends up rounding down is not the winner because Irene has a number greater than them. Thus, we can ignore all people who end up rounding down. When we round a number, we look to the digit to the right. If the digit is less than 5, we round down. Thus, if we round by looking at the 2, 3, or 4, we will round down. Thus, Alice, Bob, and Carol will round down, so they are not the winner. Devon will round to the nearest ten. Because 5.6789 is greater than 5, Devon will round up to 12350. When we round up, the most we can increase the number by is by increasing the decimal place we are rounding to by 1. For example, if we are rounding to the tenths place, the most change that the tenths place can undergo is increasing by 1. We cannot increase it by 2 through rounding. Thus, when Eugene rounds to the nearest one, the highest the ones place could be is a 6, and the tens place will still be a 4. Thus, Eugene's number is smaller than Devon's. Likewise, all of the other people will round their numbers up by less than Devon has, so Devon is the winner.

1)
the letters in the sequence are in the order of first letter of numbers.
the sequence thats in the numerical order - one, two , three...
each number is taken and the first letter of the word is taken for the sequence,
one - first letter of one is O
O(one), T(two), T (three), F (four), F(five), S(six), S(seven),(eight)
first letter of eight is E, so next letter in the sequence is E

2)
a- whole number 
whole numbers are integers that don't have any decimal places and are not fractions either.
b- digit
digit is a single number that can hold a position in a numerical value. for example 7 in 7000 is holding the thousands digit. And in number 7000 we can call it a 4 digit number as there are 4 digits in it.
c - place value
this is when a number holds a certain value depending on its position/ place in the numerical value. for example in 200, number 2 is in the hundreds place therefore its having a value of 2 counts of hundred , therefore has a place value of 200. place value means that each place has a value 10 times of that of the value to its right. so 2 is in the hundreds place, right of that is tens place, hundreds place value is 10 times of tens value = 10*10 = 100 therefore when number 2 is in the hundreds places its 2*100 = 200
d - rounded number 
rounded number is when a number is made to a simpler form. rounding off can be done to any place of the number. Its to bring it to a simpler number by dropping off the unnecessary digits to make it easier to work with
e - equals
equals is when a number is equal in value to another number. By equalling it means that the value on the right side of the equals sign is equal to the value on the left side of the equals sign

3)
we are asked to insert commas in the following numbers. Commas are inserted for convenience to add breaks to the number so that its easy to read out the number and to see if the number is a thousand, million or billion by looking at the number of commas.
Commas are inserted in numbers with 4 or more digits, after every three digits from right to left.
a. 13,886
b. 365
c. 719,463
d.40,047,209
e. 2,145,739,180
f.  1,783,457

4)
when writing word names, the numbers are read out for every three digits for the right to left. first 3 digits are written as it is, next 3 digits are written as thousand, next 3 digits as million and 3 digits after that as billion
we are asked to write the word names for the following numerals;
(a) two million four hundred thousand 
(b) forty billion
(c)four hundred seventy three thousand five hundred
(d)one thousand two hundred

5) when writing numerals from thousands same rules apply. first three digits as it is, next three digits are thousands and 3 digits to the left of that are millions
(a)2,155,120
(b)225,060,000
(c)251,720,000

6)
depending on where number 5 is in the number, it will hold different values. 
for example in 5234, 5 holds the thousands place, 2 holds the hundreds place, 3 in tens place and 4 in ones place.         
a. tens 
b. thousands
c. ones
d. ten thousands
e. hundred thousands
f. millions

7)
this shows the value of each position
                           7,          8            9       0    ,          4         3       2
hundred   ten  ones      hundred   ten   ones      hundred   ten   ones                  
 million       thousand---        ones
7,890,432, name the digit located in each of these positions.
a. Hundreds - 4
b. Millions - 7
c. Ten thousands - 9
d. Tens - 3
e. Hundred thousands - 8
f. Thousands - 0

8)
in the number line the lesser number to the left of the number line and the greater number is to the right of the number line
Which of the numbers in each pair is farther to the left on the number line?
a.17  -17 is smaller than 305 therefore its farther to the left than 305
b. 187 
c. 16 
d. 149 984

Q9)symbol > is when the number on the left is greater than the number on the right
symbol = is when both the numbers on either side of the symbol are equal to each other
a.39 > 38
b. 16 = 16
c. 11 d. 5 > 4

10)
In rounding off, the digit which you're rounding off, the digit to the right of that digit should be considered. If the digit to the right is 5 or greater than 5, then the digit which you're rounding off increases by a value of 1. If the digit to the right is less than 5 then the digit which you're to round off stays as it is. All the digits too the right of the digit being rounded off becomes zeroes.
 1,360,760,100. Round off 
a. thousands place digit is 0,digit to the right is 1, since 1 b. millions digit is 0, digit to the right is 7, then its greater than 5, 0 then increases by 1 and becomes 1, all the digits to the right of 1 become dropped off and turns into zeroes. 
- 1,361,000,000
c. hundred million is 3 right of that is 6, 6>5 therefore 3 increases by 1 
- 1,400,000,000
d. hundred thousand is 7 and digit to the right is 6, then 7 increases by 1
- 1,360,800,000

5. 1,000,000   Because the digit to the right of the hundred thousand's digit is a 9, you need to round it up. Since the number is 900,000, however, you should round it to 1,000,000

6. 9,300   The digit to the right of the hundred's place is 5, so round the 2 up to a 3.

7. 5,070   The digit to the right of the ten's place is 8, so round the 6 to a 7.

8. 5,280   The digit to the right of the ten's place is a 2, so keep the 8 the same and change the 2 to a 0.

9. 813

10. 220

11. 44,770

12. 76,000

13. 920

14. 220,000

15. 82,300

16. 5,500

17. 500

18. 913,600

19. 88,300

20. 630

Some basic rules to remember about rounding:
1. If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.
2. If the digit to the right of the place you're rounding is less than 5, keep the digit the same and change all digits to the right to 0.
3. If you're rounding 9 up, carry 1 over to the next place to the left. For instance, when rounding 987 to the nearest hundred, you would round up the 9 because 8 is greater than 5. The answer would be 1,000, because you have to carry the 1 over to the left.

2. 346.54, 3. 34.754, 4. 34.231, 5. 234.654, 6. 234.654 7. 456.99, 8.45.699

Step-by-step explanation:

125.58-78.6=

46.98

the answer would be D

2. 34,700

3. 34,654.00

4. 0

5. 234,654.00

6. 34,240

7. 45,700

8. 45.69

I hope I helped! Also, nice art cx

686 becomes 700

Step-by-step explanation:

367+319 = 686

hundreds tens one

6                  8     6

We are rounding to the hundreds places

We have to look at the tens place

8>=5 so we will round up

6 becomes 7

686 becomes 700

e. 65,000

f. 99,000

g. 60,000

h. 80,000

i. 900,000

j. 900,000

k. 500,000

l. 700,000

Step-by-step explanation:

Since, when we round a number to the nearest thousand then we check the digit at hundred place,

If the hundred place digit is less than 5 then the number is rounded to previous thousand,

If the digit is 5 or more than 5 then the number is rounded to next thousand,

So, 65,124 ≈ 65,000

99,451 ≈ 99,000

The above procedure is follow in rounding both nearest ten thousand and hundred thousand,

But, in rounding nearest ten thousand and hundred thousand we check thousand place digit and ten thousand place digit respectively,

Hence, 60,488 ≈ 60,000

80,801 ≈ 80,000

897,100 ≈ 900,000

880,005 ≈ 900,000

545,999 ≈ 600,000

689,114 ≈ 700,000

Nearest ten

Step-by-step explanation:

Here, we want to know the highest value that can be attained if this number is rounded up to the decimal places given in the question.

The best way to go about this is rounding this number to each of the decimal places and see the one that has the largest value.

We proceed as follows;

Nearest hundred = 300

Nearest ten = 350

Nearest integer = 346

Nearest tenth = 345.7

Nearest hundredth = 345.67

It can be seen from all the above values that the highest value we have is the nearest ten