How many significant digits does 20.0020 have?
Answer
600.6k+ views
Hint: Significant figures in chemistry are the mathematical values that have certainty and precision while performing mathematical operations in chemistry. Significant figures have certain rules.
Complete step-by-step answer:
Significant figures in chemistry tell us the valuable digits in a particular mathematical operation. Significant figures are calculated through certain rules, which are:
- All the digits that have no zero are significant. For example, 32 have 2 significant figures.
- The zeros that are written before non-zero digits are not significant. For example, 0.0047 have 2 significant figures.
- Zeros that are written between the non- zero digits are significant. For example, 4.009 have 4 significant figures.
- Zeros that are written at the right hand side of the decimal are significant, while if the decimal is not present then the zeros are not significant. For example, 200 have 1 significant figure, while 0.200 have 3 significant figures.
- When any scientific notation is written, it is not significant.
- When the exact number of anything is written, it has an infinite number of significant figures. For example, 20 eggs have infinite significant figures.
We are given a number 20.0020, we have to find its significant figures. Since it has zero before and after the decimals and between the numbers, so all are significant, so, 6 significant figures.
Hence, 20.0020 have 6 significant digits.
Note: For addition or subtraction in significant figures, the values with decimals cannot have more number of digits after the decimal written, as that in the original number. The same applies in division and multiplication of significant figures.
Complete step-by-step answer:
Significant figures in chemistry tell us the valuable digits in a particular mathematical operation. Significant figures are calculated through certain rules, which are:
- All the digits that have no zero are significant. For example, 32 have 2 significant figures.
- The zeros that are written before non-zero digits are not significant. For example, 0.0047 have 2 significant figures.
- Zeros that are written between the non- zero digits are significant. For example, 4.009 have 4 significant figures.
- Zeros that are written at the right hand side of the decimal are significant, while if the decimal is not present then the zeros are not significant. For example, 200 have 1 significant figure, while 0.200 have 3 significant figures.
- When any scientific notation is written, it is not significant.
- When the exact number of anything is written, it has an infinite number of significant figures. For example, 20 eggs have infinite significant figures.
We are given a number 20.0020, we have to find its significant figures. Since it has zero before and after the decimals and between the numbers, so all are significant, so, 6 significant figures.
Hence, 20.0020 have 6 significant digits.
Note: For addition or subtraction in significant figures, the values with decimals cannot have more number of digits after the decimal written, as that in the original number. The same applies in division and multiplication of significant figures.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
Find the value of the expression given below sin 30circ class 11 maths CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

