Powers of 10
Which is greater? Explain Why!
10^6 or 10^4
10^6
A city has approximately 3,845,000 residents.
About how many residents is this to the nearest million?
4,000,000.
Write 8,500 as a single digit times a power of 10.
8.5 x 10^3
Which is greater? 7.5×10^6 or 3.2×10^6
7.5 x 10^6
How many times as much is: 9×10^4 as 3×10^4?
3 Times.
How many times greater is 1x10^7 than 1x10^5?
100 Times
The mass of a grain of sand is approximately: 0.0000028 grams. Is this quantity closer to 10^-5 or 10^-6?
10^-6
Write 72,000,000 as a single digit times a power of 10.
7.2 x 10^7
Which is greater? 4.8×10^7 or 9.1×10^6
4.8 x 10^7
How many times as much is: 8×10^6 as 2×10^5?
40 Times.
Complete the equation: 10^3 × 10^_ = 10^8
_ = 5
A planet is approximately 4,700,000,000 kilometers from its star. Write this as a single digit times a power of 10.
4.7 x 10^9
Write 0.00045 as a single digit times a power of 10.
4.5 x 10^-4
Put these in order from least to greatest:
1 - 4×10^5
2 - 7×10^4
3 - 2×10^6
4 - 9×10^3
4, 2, 1, 3
How many times as much is: 6×10^7 as 3×10^4?
2,000 Times.
Which expression represents a number that is 1,000 times smaller than 10^6?
10^3
A microscopic organism is approximately: 0.00000036 meters. Estimate its size using a single digit times a power of 10.
4 x 10^-7
Write 6.3×10^8 in standard form.
630,000,000
Which is greater? 6.2×10^−4 or 3.8×10^−5
6.2 x 10^-4
A large lake contains approximately 4.8×10^9 cubic meters of water. A smaller lake contains 1.2×10^7 cubic meters. How many times as much water does the large lake contain?
400 Times.
A student says 10^8 is 3 times as large as 10^5
Is the student correct?
No! 10^8 is 1,000 times as large as 10^5.
A scientist measures two particles:
Without converting both to standard form, which particle is larger and approximately how many times larger?
Particle A is approximately 8 times larger.
A number is approximately: 3.7×10^-6
A student writes 0.000000037. Is the student's answer correct? Explain.
No! 3.7×10^−6=0.0000037. The student's number is 3.7×10^−8.
A student says that since 8.5>2.4, 8.5×10^6 must be greater than 2.4×10^7." Do you agree?
No. 2.4×10^7 is greater because 10^7 is 10 times 10^6.
A country has approximately 6.4×10^8 people. Another country has approximately 8×10^6 people. How many times as many people does the first country have?
80 Times.