Adding and Subtracting in Scientific Notation

What is the learning goal of today's lesson?

• I can solve quadratic equations.

• I can multiply and divide using scientific notation.

• I can add and subtract using scientific notation.

• I can understand the Pythagorean theorem.

Why can we only add or subtract numbers in scientific notation if they have the same exponent?

• Because the numbers must be integers.

• Because the place values do not line up otherwise.

• Because the coefficients must be equal.

• Because the base must be different.

What is the sum of 5.11 x 10^7 and 9.55 x 10^7?

• 1.466 x 10^7

• 14.66 x 10^7

• 1.466 x 10^8

• 14.66 x 10^8

What is the total population of Wyoming and Vermont if Wyoming has 5.63 x 10^5 people and Vermont has 6.25 x 10^5 people?

• 11.88 x 10^6

• 1.188 x 10^5

• 1.188 x 10^6

• 11.88 x 10^5

What is the difference in population between Vermont and Wyoming if Vermont has 6.25 x 10^5 people and Wyoming has 5.63 x 10^5 people?

• 6.2 x 10^5

• 0.62 x 10^5

• 6.2 x 10^4

• 0.62 x 10^4

What is the total thickness of a CD and its case if the CD is 1.2 x 10^-3 meters thick and the case is 5.4 x 10^-3 meters thick?

• 0.66 x 10^-3 meters

• 6.6 x 10^-2 meters

• 0.66 x 10^-2 meters

• 6.6 x 10^-3 meters

How much thicker is the CD case than the CD if the case is 5.4 x 10^-3 meters and the CD is 1.2 x 10^-3 meters?

• 4.2 x 10^-3 meters

• 0.42 x 10^-3 meters

• 0.42 x 10^-2 meters

• 4.2 x 10^-2 meters

What is the change in the amount of ice if it decreases from 1.5 x 10^7 square kilometers to 7 x 10^6 square kilometers?

• 8 x 10^7 square kilometers

• 0.8 x 10^7 square kilometers

• 0.8 x 10^6 square kilometers

• 8 x 10^6 square kilometers

What is the sum of the areas of the Pacific Ocean (6.4 x 10^7 square miles) and the Arctic Ocean (5.4 x 10^6 square miles)?

• 6.94 x 10^6 square miles

• 0.694 x 10^8 square miles

• 0.694 x 10^7 square miles

• 6.94 x 10^7 square miles

How much larger is the Pacific Ocean than the Arctic Ocean if the Pacific is 6.4 x 10^7 square miles and the Arctic is 5.4 x 10^6 square miles?

• 0.586 x 10^7 square miles

• 5.86 x 10^7 square miles

• 0.586 x 10^8 square miles

• 5.86 x 10^6 square miles