Scientific Notation
Write 0.000000007 in scientific notation.
7×10−97×10−9
What is the value of 103103?
1000103=1000
What is 48×43 using exponent rules?
48×43=48+3=411
Which is larger: 4,000,000 or 7.5×106?
7.5×106 is larger than 4,000,000.
Write the mass of a proton 0.00000000000000000000000170.0000000000000000000000017 grams in scientific notation
Proton mass 0.0000000000000000000000017 g = 1.7×10−24 grams
Write 54000000 in scientific notation.
5.4×107
How many equal intervals do you divide between 0 and 10−210−2 on a number line?
10 equal intervals
Multiply (3×102)(2×105) and write the answer in scientific notation.
(3×102)(2×105)=6×107
Which is larger: 29×10−7or 6×10−6?
6×10−6 is larger than 29×10−7
Write the wavelength of an X-ray 6.1×10−12 as a decimal.
0.0000000000061 meters.
Write 0.0092 in scientific notation.
9.2×10−39.2×10−3
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
Simplify 9 8/96 using exponent rules.
98−6=92=81
Estimate how many times larger 4×106 is than 7.5×105
4×106 is about 5.33 times larger than 7.5×105
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.
Write 34985 in scientific notation.
9.2×10−39.2×10−3
Between 4×106and 7.5×106, which is larger?
7.5×106
Multiply (5×10−8)(3×10−3) and write the answer in scientific notation.
15×10−11=1.5×10−10
Which is larger: 7×10−8 or 3×10−9?
7×10−8 is larger than 3×10−9
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
Convert 2.66×10−42.66×10−4 to standard notation.
2.66×10−4=0.000266
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
What is the rule for multiplying powers with the same base?
Add the exponents.
Write the radius of an electron 0.00000000000030.0000000000003 cm in scientific notation.
3×10−13cm.
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.