Write It Right
45,000 mL
What is 4.5 × 10⁴ mL
3.0 × 10² g
300 g
12.4 × 10⁵
Coefficient must be between 1 and 10 → 1.24 × 10⁶
Which is larger: 3 × 10⁵ or 8 × 10³
3 × 10⁵
Write 0.00705 in scientific notation
7.05 × 10⁻³
0.0025 g
2.5 × 10⁻³ g
8.3 × 10³ mL
8,300 mL
0.45 × 10⁻³
Coefficient is less than 1 → 4.5 × 10⁻⁴
Which is smaller: 4 × 10⁻⁶ or 9 × 10⁻⁴
4 × 10⁻⁶
Write 4.007 × 10⁻³ in standard form
0.004007
149,600,000 km (Earth to Sun)
1.496 × 10⁸ km
4.5 × 10⁻⁴ m
0.00045 m
A student writes 0.00056 as 5.6 × 10⁴
Exponent should be negative → 5.6 × 10⁻⁴
Rank smallest to largest: 3 × 10⁻⁴, 8 × 10⁻⁶, 5 × 10⁻⁵
8 × 10⁻⁶, 5 × 10⁻⁵, 3 × 10⁻⁴
Find the error: 0.0906 written as 9.6 × 10⁻²
Dropped the internal zero → 9.06 × 10⁻²
0.000000602 m
6.02 × 10⁻⁷ m
1.0 × 10⁻⁷ M
0.0000001 M
602 × 10²¹
Coefficient too large → 6.02 × 10²³
How many times larger is 6 × 10⁸ than 6 × 10⁵?
1,000 times
Which is larger: 5 × 10⁻⁴ or 0.0003?
5 × 10⁻⁴ (0.0005 vs 0.0003)
602,200,000,000,000,000,000,000 particles
6.022 × 10²³ particles
7.25 × 10⁻⁸ g
0.0000000725 g
A student converts 3.7 × 10⁻⁵ to 0.0000037
Miscounted decimal places → 0.000037
A hydrogen atom is 1 × 10⁻¹⁰ m across; a human hair is 1 × 10⁻⁴ m wide. How many atoms across the hair?
1 × 10⁶ (one million)
Rank smallest to largest: 2.5 × 10⁻³ m, 0.00025 m, 2.5 × 10⁻⁵ m
2.5 × 10⁻⁵, 0.00025, 2.5 × 10⁻³