a) You can determine this by looking at the power of 10 that is given. For example, when looking at 2.8 * 10^2, you know it would be 280 and that 1.4 * 10^-3 would be 0.0014. As for the 2.8x10^9 would be 2800000000 and that 1.4x10^4 would be 14000. You would need to move the the decimal place for the first one 0.0014 till you get 14. This means that you put 4 extra zeroes to 280, which is 280000. After that you can divide 28 by 14, without taking into account the zeroes, and you will get 2, which means your answer is 200000. For the second one, you also move decimal place 14000.0 to get 14, which means that you will need to take out 3 zeroes in 2800000000, you will get 2800000 and then without taking account the zeros, divide 28 by 14 and you will 2, which means your answer is also 200000.
b) 2 x 10^5 or 2E5
c) 2.8x109 = 2800000000 2.8x102 = 280
1.4x104 = 14000 1.4x10-3 = 0.0014
P.S I did not use a calculator for this one. So please check.
Miriam and Priya are dividing numbers written in scientific notation. (3 points)
Miriam’s expression: Priya’s expression:
2.8x109 2.8x102
1.4x104 1.4x10-3
Without completing the division, explain how can you determine that their answers will have the same value.
What is the value of their expressions written in scientific notation?
What is the value of their expressions written in standard form
5 answers
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