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Scientific Notation
Number Line Skills
Exponent Rules
Comparing Numbers
Atomic Scale
100

Write 0.000000007 in scientific notation.

7×10−97×10−9

100

 What is the value of 103103?

1000103=1000


100

What is 48×43 using exponent rules?

48×43=48+3=411


100

Which is larger: 4,000,000 or 7.5×106?

7.5×106 is larger than 4,000,000.


100

Write the mass of a proton 0.00000000000000000000000170.0000000000000000000000017 grams in scientific notation

Proton mass 0.0000000000000000000000017 g = 1.7×10−24 grams

200

Write 54000000 in scientific notation.

5.4×107

200

How many equal intervals do you divide between 0 and 10−210−2 on a number line?

10 equal intervals

200

Multiply (3×102)(2×105) and write the answer in scientific notation.

(3×102)(2×105)=6×107



200

Which is larger: 29×10−7or 6×10−6?

6×10−6  is larger than 29×10−7 


200

Write the wavelength of an X-ray 6.1×10−12 as a decimal.

 0.0000000000061 meters.

300

Write 0.0092 in scientific notation.

 9.2×10−39.2×10−3

300

Plot 5×106on a number line between 0 and 107?

5×1065×106 is closer to 107107 on the number line between 0 and 107107


300

Simplify 9 8/96 using exponent rules.

98−6=92=81


300

Estimate how many times larger 4×106 is than 7.5×105

4×106 is about 5.33 times larger than 7.5×105


300

Label the tick marks between 10−1210−12 and 10−1310−13 on a number line.

Tick marks between 10−12 and 10−13are multiples of 10−13, 2×10−13, 3×10−13, etc.

400

Write 34985 in scientific notation.

 9.2×10−39.2×10−3

400

Between 4×106and 7.5×106, which is larger?

7.5×106


400

Multiply (5×10−8)(3×10−3) and write the answer in scientific notation.

15×10−11=1.5×10−10


400

Which is larger: 7×10−8 or  3×10−9?

7×10−8 is larger than 3×10−9



400

Plot the proton mass on a number line between 10−24and 10−23.

Proton mass 1.7×10−24plotted closer to 10−24 on the number line between 10−24 and 10−23 

500

Convert 2.66×10−42.66×10−4 to standard notation.

2.66×10−4=0.000266

500

Why is light through ice faster than light through diamond? (Hint: number line position)

Light through ice is faster because its speed value is further to the right on the number line compared to light through diamond

500

What is the rule for multiplying powers with the same base?

Add the exponents.

500

Write the radius of an electron 0.00000000000030.0000000000003 cm in scientific notation.

 3×10−13cm.

500

Explain why we use scientific notation for atomic scale numbers.

Scientific notation is used for atomic scale numbers because it simplifies writing, reading, and comparing extremely large or small numbers.