please could you check the first 2 then explain the method on the other 2
1)5.2x10^6 + 3x10^5
5200000+300000=5500000
5.5x10^6
2)4.2x10^5 + 1.28x10^6
420000+1280000=1700000
1.7x10^6
method please
3)6.5x10^-3 - 3.5x10^-9
0.065-0.000000035=0.064999965
how do you convert this number into standard form?
4)400/(5x10^6)
i don't get how to work this one out
please could you help/explain. thanks.
You did 3) wrong. Using your method..
3)6.5x10^-3 - 3.5x10^-9
0.006 5-0.000 000 003 5=0.0059999965
5.9999965 x 10^-3
Let me show you an easier way. Convert both numbers to the same power.
6.5E-3 - 3.5E-9
6.5E-3 - 3.5E-3E-6
(6.5- .000 0035 )E-3
6.499 99965 E-3
another example
5.2x10^6 + 3x10^5
52.0E5+3E5
55E5 or 5.5E6
Lastly
4)400/(5x10^6)
4E2/5E6= .8E(2-6)=.8E-4=8E-5
what does E stand for?
E means x 10^ It is often used in computers, calculators, and in ASCII chat as here. It is easier.
Sure! Let's go through the method of solving the second question first, and then I'll explain the steps for solving the other two questions.
2) To add the numbers in scientific notation, first, make sure the exponents are the same. In this case, the exponents are already the same (both are 6). Then, add the numbers in front of the powers of 10.
4.2x10^5 + 1.28x10^6
420,000 + 1,280,000 = 1,700,000
Now, express the result in scientific notation. To do this, move the decimal point to the right, until you have one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point, and that will be your exponent (plus if you moved to the left, minus if you moved to the right).
1,700,000 becomes 1.7x10^6
Now, let's move on to the other two questions:
3) To subtract the numbers in scientific notation, once again, make sure the exponents are the same. In this case, the exponents are -3 and -9. To subtract the numbers, subtract the numbers in front of the powers of 10.
6.5x10^-3 - 3.5x10^-9
0.0065 - 0.000000035 = 0.006499965
To convert this number into standard form, we can write it as 6.499965 x 10^-3.
4) To divide numbers in scientific notation, divide the numbers in front of the powers of 10. Then, subtract the exponent of the denominator from the exponent of the numerator.
400 / (5x10^6) = 400 / 5 = 80
Therefore, the result is 80. You don't need to express the answer in scientific notation since the denominator is not in scientific notation.
I hope that helps! Let me know if you have any further questions.