The antilog of (1.32) is
A. 20
B. 20.98
C. 20.89
D. 20.79
Answer
636.6k+ views
Hint: We have to find the antilog of 1.32. Get the value of 1.32 from antilog table and the number before the decimal point is 1, so the decimal point will be after 2 digits.
Complete step-by-step answer:
According to the question, we have to find the value of antilog of 1.32.
Now, from the antilog table we have to get the value of 1.32 and the value of 1.32 from the antilog table is 2089.
We can see that the number 1.32 as a decimal point. So, its antilog will also have a decimal point. Now, we have to get the exact position where the decimal point must be placed. The number before the decimal point is 1, so the decimal point will be after 2 digits.
Value of 1.32 from antilog table =2089.
Now, placing the decimal point just after 2 digits of the number 2089 from the left we get 20.89.
Antilog 1.32=20.89.
So, the antilog of 1.32 is 20.89.
Hence, C is the correct option.
Note: In this question, after getting the value of 1.32 from the antilog table which is 2089 one can conclude it as the answer and it is wrong. As the given number has a decimal point, so its antilog should also have a decimal point. We have 1 before the decimal point, so the position of decimal point will be after 2 digits.
We can also solve this question by using the calculator. Calculate 10 to the power 1.32 using the calculator \[{{10}^{1.32}}=20.89\] .
Complete step-by-step answer:
According to the question, we have to find the value of antilog of 1.32.
Now, from the antilog table we have to get the value of 1.32 and the value of 1.32 from the antilog table is 2089.
We can see that the number 1.32 as a decimal point. So, its antilog will also have a decimal point. Now, we have to get the exact position where the decimal point must be placed. The number before the decimal point is 1, so the decimal point will be after 2 digits.
Value of 1.32 from antilog table =2089.
Now, placing the decimal point just after 2 digits of the number 2089 from the left we get 20.89.
Antilog 1.32=20.89.
So, the antilog of 1.32 is 20.89.
Hence, C is the correct option.
Note: In this question, after getting the value of 1.32 from the antilog table which is 2089 one can conclude it as the answer and it is wrong. As the given number has a decimal point, so its antilog should also have a decimal point. We have 1 before the decimal point, so the position of decimal point will be after 2 digits.
We can also solve this question by using the calculator. Calculate 10 to the power 1.32 using the calculator \[{{10}^{1.32}}=20.89\] .
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