Sort by determining if each is really small numbers or really large numbers.
(0.905), 7*10^3, 0.2, 6.0003*10^-2, (1,000,000,000,000), 6, 8.23*10^4, (2,010,000), (54,389,600,000), 4.1*10^-5, 3.26*10^-1, 1.002*10^3, 4.98256*10^-8, and 0.0000524
Really Small Numbers:
- 6.0003*10^-2
- 4.1*10^-5
- 3.26*10^-1
- 4.98256*10^-8
- 0.0000524
Really Large Numbers:
- (1,000,000,000,000)
- (54,389,600,000)
- (2,010,000)
- 7*10^3
- 8.23*10^4
- 1.002*10^3
Other Numbers:
- 0.905
- 0.2
- 6
Is 0.905 a really small number or really big number?
Is 0.2 a really small number or really big number?
Is 6 a really small number or really big number?
0.905 is not a really small number or really large number, it is an intermediate number.
0.2 is not a really small number or really large number, it is an intermediate number.
6 is not a really small number or really large number, it is an intermediate number.
For a very large number, the power of 10 has a positive exponent. To rewrite a very large number in scientific notation, count the number of decimal spaces needed to place the decimal point so that there is only one non-zero digit to its left.
The length of the universe = 880,000,000,000,000,000,000,000 kilometers.
When written in scientific notation, this is 8.8 * 10^23 kilometers.
How did we get this answer? Explain in your own words.
To rewrite a very large number in scientific notation, we first count the number of spaces needed to move the decimal point so there is only one non-zero digit to its left.
In the case of the length of the universe, 880,000,000,000,000,000,000,000 has 23 zeros after the 8. To move the decimal point to the right place, we need to move it 23 spaces to the right, which means the exponent in the scientific notation will be 10^23 because we moved the decimal point to the right 23 times.
So, when we write the number using scientific notation, we express it as 8.8 * 10^23 kilometers.
For a very small number, the power of 10 has a negative exponent. To rewrite a very small number in scientific notation, count the number of decimal spaces needed to place the decimal point so that there is only one non-zero digit to its left.
The mass of an electron = 0.000000000000000000000000000000910938356 kilograms.
When written in scientific notation, this is 9.10938356 * 10^-31 kilograms.
How did we get this answer? Explain in your own words.
To rewrite a very small number in scientific notation, we count the number of spaces needed to move the decimal point so there is only one non-zero digit to its left.
In the case of the mass of an electron, 0.000000000000000000000000000000910938356 has 30 zeros before the 9. To move the decimal point to the right place, we need to move it 30 spaces to the left, which means the exponent in the scientific notation will be -30 because we moved the decimal point to the left 30 times.
So, when we write the number using scientific notation, we express it as 9.10938356 * 10^-31 kilograms. This indicates that the number is a very small value.