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Miscellaneous
Definitions
Operations w/ Scientific Notation
100
Is -2^8 the same answer as (-2)^8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
100

When dividing, we ________ the exponents.

Subtract

100

(6 x 10^2) x (8 x 10^3)

4.8 x 10^6

200
Shelly's work is shown below: (5^4)(5^-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5^1=5
200

When multiplying, we ________ the exponents.

add

200

(9 x 10^-3) / (4 x 10^-4)

2.25 x 10^1

300
Is the following number written in scientific notation? Why or why not? 13.79 x 10^7
No, 13.79 is greater than or equal to 10.
300

If we add to the exponent, we have to move the decimal to the _________.

Left

300

(3.2 x 10^2) + (5.4 x 10^2)

8.6 x 10^2

400
The mass of Mars is about 6.4 x 10^23 kg. It would take about 2,970 of the planet Mars to equal the mass of Jupiter. What is the mass of Jupiter?
1.9008 x 10^27
400

If we subtract from the exponent, we have to move the decimal to the _________.

right

400

(4.2 x 10^3) - (21 x 10^2)

2.1 x 10^3

500
Jahliek solved the problem shown below: (2 x 10^4)(1.8 x 10^6) = 3.6 x 10^-2 Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.
500

What is scientific notation?

A way to express really large or really small numbers.

500

(7.3 x 10^-2) + (23.4 x 10^-4)

7.534 x 10^-2