Scientific Notation
Write 48,000 in scientific notation.
4.8 x 10^4
Which is larger?
3.5×10^6 or 3.5×10^7
3.5 x 10^7
(3×10^4)(2×10^3)
6x10^7
1 mile = 5,280 feet. How many feet are in 2 miles?
10,560 feet
TRUE OR TRASH?
“The number with the bigger coefficient is always the larger number in scientific notation.”
TRASH. Compare exponents first.
Write 6.2×10^7 in standard form.
62,000,000
Which is larger?
8.2×10^5 or 2.1×10^6
2.1×10^6
(8×10^9)/(2×10^3)
4x10^6
Write 10,560 feet in scientific notation.
1.0560 x 10^4
WHO'S RIGHT?
Rocket says 7.1×10^8 is larger than 9.2×10^7
Drax says 9.2×10^7 is larger because 9.2 > 7.1.
Be ready to explain why.
Rocket is right because we need to compare the exponents not the coefficients.
Write 0.000073 in scientific notation.
7.3 x 10^-5
Order from smallest to largest:
4.5×10^7 , 7.2×10^5 , 3.1×10^6
7.2×10^5 , 3.1×10^6 , 4.5×10^7
(4×10^5)(3×10^4)
12x10^9
If 1 L = 1×10^−12 cubic kilometers convert 200 L to cubic kilometers.
2 x 10^-10 cubic kilometers
HOW MANY TIMES BIGGER?
A satellite can send a signal 6×10^7 meters. Another can send one 2×10^6 meters. How many times greater is the first range?
30 times greater
Is 14.2×10^6 written correctly in scientific notation? If not, fix it.
No. 4.12 x 10^7 because 14.2 is more than 10
Order from greatest to least:
1.8×10^8 , 9.4×10^6 , 2.3×10^8 , 5.7×10^7
2.3×10^8 , 1.8×10^8 , 5.7×10^7 , 9.4×10^6
(9.6×10^8)/(3.2x10^2)
3x10^6
A UFO travels 4 miles. Convert the distance to feet and then write it in scientific notation.
1 mile = 5280 feet
21,120 ft = 2.112 X 10^4
THE WHOLE SHEBANG:
One tank holds 4×10^−10 km. A lake holds 8×10^5 km. How many tanks would it take to equal the lake's volume?
(8×10^5)/(4×10^−10) = 2×10^15
FIX THE MISTAKE:
A student writes:
0.0000048=4.8×10^6
What did they do wrong?
The exponent should be negative: 4.8 x 10^-6
Object A is 1.2×10^8 meters wide.
Object B is 3×10^6 meters wide.
About how many times wider is A than B?
40 times wider
4.9 x 10^13
A container holds 350 L. Given
1 L = 1×10^−12 cubic kilometers
write its volume in cubic kilometers using scientific notation.
3.5 × 10^−10 cubic kilometers
EXPLAIN YOUR ANSWER:
Planet Z has a diameter of 8×10^7 m. Planet Q has a diameter of 2×10^6 m.
How many times larger is Planet Z, AND write a complete sentence interpreting your answer.
(8×10^7)/(2x10^6)= 4×10^1= 40
Planet Z's diameter is 40 times larger than Planet Q's diameter.