Question

Write each of the following decimals after rounding its decimal point to the nearest tenth.
A. 61.43
B. 78.69
C. 52.34
D. 9.65
E. 10.59

Answer 1

Hint: We are given a number in decimal expression up to the nearest hundredth. We are asked to convert them in the nearest tenth by rounding off. We use two rules, which way is, digit to be rounded off is 5 or greater than 5, then the p term next to it gets increased by 1 and if the terms to be rounded off is less than 5, then that term gets omitted without having any change on the other terms.

Complete step by step answer:
We are given number in decimal expression, we are asked to write them in decimal expression which is rounded off to the nearest tenth.
Firstly, we see that all expression in question given to us is in the nearest hundredth. We have to round off the last digit and write the decimal into the nearest tenth.
A. 61.43
We have a decimal expression as 61.43, to round off the decimal expression we use certain laws. The law says, if the digit to be rounded off is less than 5 then the last digit is omitted without any change to the next term. Now in 61.43 as 3 < 5. So, 3 will be omitted without any change to the number in front of it. So, we get 61.4. So, in the nearest tenth are number is 61.4
B. 78.67
Now, we have a decimal expression as 78.67. To round off the hundredth position we use a rule which says, if the position to be rounded off is greater than 5 then the digit is omitted and the term next to it is increased by 1. As in 78.67, 7 > 5. So, 7 is omitted and 6 will increase by 1 means 6+1=7. So, our number in the nearest tenth will be 78.7
C. 52.34
We are given a decimal expression as 52.34. Now, we know if the digit to be rounded off is less than 5 then, the digit is omitted without any effect on other term. We have, the hundredth digit as 4 < 5. So, 4 gets omitted and it won't affect the other term. So, 52.34 to the nearest tenth is given as 52.3.
D. 9.65
We are given a decimal expression as 9.65. To round off this expression, we need a rule which says, if the digit to be rounded off is greater than or equal to 5 then that term is omitted and the term next to it is increased by 1. Now as in 9.65, our hundredth term is 5 so, 5 will get omitted and 6 will be changed to 6+1=7. So, our decimal expression to the nearest tenth is 9.7
E. 10.59
Now, we have a decimal expression as 10.59. To round off the hundredth position we use a rule which says, if the position to be rounded off is greater than 5 then the digit is omitted and the term next to it is increased by 1. As in 10.59, 9 > 5. So, 9 is omitted and 5 will increase by 1 means 5+1=6. So, our number in the nearest tenth will be 10.6

Note:
To get the decimal expression to the nearest tenth, we round off the term in the nearest hundredth (means the term nearest to it).
The Basic 2 ideas of rounding off are to find that the given decimal expansion is near to which end of the integer. Rules are always followed to find the decimal expression after round off. Remember, term after the decimal is denoted as a tenth, hundredth while term ahead of the decimal is given as ones, tens, hundreds.