Powers of 10
What is 100^3?
1,000
A city has approximately 500,000 people. Is this closer to 10^5 or 10^6?
10^6
Write 4,000 using a power of 10.
4 x 10^3
Which is greater? 5×10^4 or 3 x 10^4
5 x 10^4
How many times as much is 400 as 100?
4 Times
What is 10^5?
100,000
A stadium holds approximately 82,000 people. Round this to the nearest ten thousand.
80,000!
Write 700,000 using a power of 10.
7 x 10^5
Which is greater? 4×10^6 or 4 x 10^7
4 x 10^7
How many times as much is: (6×10^5) as (2×10^5)
3 Times!
Write 1,000,000 as a Power of 10
10^6
The Earth has approximately 8,000,000,000 people. Write this as a single digit times a power of 10 (Scientific Notation)
8 x 10^9
Write 3,200,000 as a single digit times a power of 10.
3.2 x 10^6
Put these in order from least to greatest:
1 - (2×10^5)
2 - (8 x 10^4)
3 - (3 x 10^6)
2, 1, 3
How many times as much is:(8×10^6) as (4×10^5)
20 times!
How many zeros in 10^8?
A microscopic organism measures approximately 0.000004 meters. Is this a very large or very small quantity? Explain using powers of 10.
Very Small! 4 x 10^-6
Write 0.00056 as a single digit times a power of 10.
5.6 x 10^-4
A student says: 9×10^5 is greater than 2×10^6 because 9 is greater than 2. Is the student correct? Explain.
No! 2×10^6 is greater because its exponent is larger.
A school has approximately (2×10^3) students. Another school has approximately (6×10^4) students. How many times as many students does the second school have?
30 times the number of students.
Without calculating, explain which is greater: 10^7 or 10^9
10^9
A scientist measures something as 0.00000073 meters. Estimate its size using a single digit times a power of 10 (Scientific Notation)
7 x 10^-7
A number is approximately: 4×10^8. What is its approximate value in standard form?
400,000,000
Without converting to standard form, explain why:
(7×10^8) > (9×10^7)
10^8 is ten times 10^7, so the larger power of 10 makes the first quantity greater despite its smaller coefficient.
A country has approximately (8×10^8) people. Another country has approximately 2×10^7 people. How many times as many people does the first country have?
40 times the amount of people!