Powers of 10
Which is smaller?
10^−4 or 10^−2
10^-4
Write 0.000006 in scientific notation.
6 x 10^-6
Simplify:
(3×10^4)+(5×10^4)
8 x 10^-4
Which is greater? 5.6×10^−3 or 2.1×10^−3
5.6 x 10^-3
A single grain of dust has a mass of approximately:
3×10^−6 grams.
Is this a large or small quantity?
Small! Negative exponent!
How many times greater is 10^−3 than 10^−5?
100 times
Write 0.00000042 in scientific notation.
4.2 x 10^-7
Simplify: (7×10^−3)+(2×10^−3)
9 x 10^-3
Which is smaller? 8.3×10^−6 or 8.3×10^−5
8.3 x 10^-6
A microscope measures a cell as:
4.5×10^−5 meters.
How would you write this measurement in decimal form?
0.000045 meters
Give me a power of then that equals one ten-thousandth
10^-4
A red blood cell is approximately: 7.5×10^−6 meters
Which is its approximate standard form:
0.0000075 meters
Simplify: (8.4×10^−5)−(3.1×10^−5)
5.3 x 10^-5
Put these in order from least to greatest:
3×10^−4, 7×10^−6, 2×10^−3, 5×10^−5
7×10^−6, 5×10^−5, 3×10^−4, 2×10^−3
A certain medicine particle has a mass of:
2×10^−7 grams.
Another particle has a mass of:
8×10^−7 grams.
How many times as massive is the second particle?
4 times
Without writing the number in decimal form, determine which is greater:
10^−7 or 10^−9
10^-7
Which quantity is closest to 10^−5?
A. 7.2×10^−4
B. 3.8×10^−6
C. 9.1×10^−6
D. 2.5×10^−7
C
Simplify: (6×10^−4)+(2.5×10^−5)
6.25 x 10^-4
Which is greater?
9.2×10^−8 or 1.4×10^−7
1.4 x 10^-7
A scientist combines two samples.
Sample A: 3.2×10^−6 grams
Sample B: 7.8×10^−6 grams
What is the total mass? (Add)
1.1×10^−5 grams
A student says: “10^−8 is greater than 10^−6 because 8 is greater than 6.”
Is the student correct?
No. With negative exponents, 10^−8 is smaller than 10^−6.
Two particles have lengths of: 4.8×10^−7 and 6.2×10^−8.
Which is larger, and how many times larger is it?
4.8 x 10^-7. 8 times larger.
Simplify: (7.2×10^−3)−(4.5×10^−4)
6.75 x 10^-3
Without converting to standard form, determine how many times greater: 6×10^−4 than 3×10^−6
200 times
A machine produces particles with a mass of 4×10^−8 grams each.
It produces 5×10^6 particles.
What is the total mass produced? (Multiply)
2 x 10^-1 grams