Applying operations on numbers expressed using scientific notation to solve mathematical and real-world problems

Question 3

• $40$

• $400$

• $4\times10^2$
  

• $4\times10^5$

Multiply.

Write the answer in scientific notation.

(5 x 10⁶)(5 x 10⁷)

• 2.5 x 10¹²

• 2.5 x 10¹⁴

• 25 x 10¹²

• 25 x 10¹³

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

• 1.271 x 10¹⁰
• 1.271 x 10⁹
• 1.271 x 10¹¹
• 1.271 x 10⁸

Solve:
(8.0 x 10^12) - (7.5 x 10^12)

• 1.55 x 10^13
• 0.5 x 10^0
• 5.0 x 10^11
• 5.0 x 10^13

Subtract. (7 x 10⁴) - (4.2 x 10⁴)

• 2.8 x 10⁴

• 2.8 x 10⁰

• 2.8 x 10²

The population of Mathville is 5.6 x 10³. The population of Algeville is 1.3 x 10⁴. How many more people are there in Algeville?

• 7.4 x 10³

• 7.4 x 10²

• 7.4 x 10⁴

• 7.4 x 10¹

The masses of two objects are compared during a physics experiment. 
It is determined that object A has a mass of   $4×10^{-3}$  
 Object B has a mass of   $4×10^{-4}$  
True or False.  The mass of object A 10 times larger  than the mass of object B?

• True

• False: Student divides the mass of object A by the mass of object B and then forgets about the numbers with the exponents.

What is step 1?
(a * 10^b) (a * 10^b)

• Multiply (a * a)
• Divide (a / a)
• Add (a + a)
• Subtract (a - a)

Which is the largest?

4.8 x 10^-6

3.1 x 10^-4

6.5 x 10³²

8.4 x 10¹⁹

• 6.5 x 10³²

• 3.1 x 10^-4

• 8.4 x 10¹⁹

• 4.8 x 10^-6

Solve:

(9 · 10^-6) (3 · 10^-3)

• 27 · 10^-9

• 3 · 10^-3

• 2.7 · 10^-8

• 2.7 · 10^-10