Basics of Scientific notation
What is the definition of scientific notation?
A way to write very large or small numbers using powers of 10.
Convert 2.5 × 10³ to standard form.
2,500
Multiply: (3 × 10²) × (2 × 10³)
6 × 10⁵
A grain of sand has a mass of 2.3 × 10⁻³ grams. What is this in standard form?
0.0023 grams
Which is larger: 4 × 10³ or 3 × 10⁴?
3 × 10⁴
What must the coefficient (first number) be between in scientific notation?
Between 1 and 10.
Convert 7.1 × 10⁻² to standard form.
0.071
Divide: (8 × 10⁶) ÷ (4 × 10²)
2 × 10⁴
The population of Earth is about 7.8 × 10⁹ people. What is this in standard form?
7,800,000,000 people
What is (2 × 10⁵) ÷ (4 × 10²)?
5 × 10²
What is the exponent in scientific notation used for?
It tells how many times to multiply or divide by 10.
Write 567,000,000 in scientific notation.
5.67 × 10⁸
Add: (2.1 × 10⁴) + (3.5 × 10⁴)
5.6 × 10⁴
The diameter of a red blood cell is about 7 × 10⁻⁶ meters. What is this in standard form?
0.000007 meters
If a light-year is 9.46 × 10¹² km, how far is 5 light-years?
4.73 × 10¹³ km
What is the correct scientific notation for 0.0032?
3.2 × 10⁻³
Write 0.000098 in scientific notation.
9.8 × 10⁻⁵
Subtract: (9 × 10⁶) - (3 × 10⁶)
6 × 10⁶
The distance from the Earth to the Sun is about 1.5 × 10⁸ km. What is this in standard form?
150,000,000 km
Express 0.00000000076 in scientific notation.
7.6 × 10⁻¹⁰
What is the correct scientific notation for 6,500,000?
6.5 × 10⁶
What is 4.89 × 10⁵ in standard form?
489,000
What exponent rule do we use when multiplying in scientific notation?
Add the exponents
A virus is about 2.5 × 10⁻⁹ meters in size. What is this in standard form?
0.0000000025 meters
The sun’s mass is about 1.99 × 10³⁰ kg, and Earth’s mass is about 5.97 × 10²⁴ kg. How many times more massive is the sun than Earth?
3.33 × 10⁵ times