SCIENTIFIC NOTATION

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. It is written in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

Convert 6.7 × 10^1 to standard form.

Back

67

Front

Convert 12,000,000 to scientific notation.

Back

1.2 × 10^7

Front

Convert 450,000 to scientific notation.

Back

4.5 × 10^5

Front

What does the exponent in scientific notation indicate?

Back

It indicates how many places to move the decimal point. A positive exponent means to move right, and a negative exponent means to move left.

Front

Convert 0.000045 to scientific notation.

Back

4.5 × 10^-5

Front

What is the scientific notation for 3,200,000?

Back

3.2 × 10^6

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (2 × 10^3) × (3 × 10^2) = 6 × 10^(3+2) = 6 × 10^5.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. For example, (6 × 10^5) ÷ (2 × 10^2) = 3 × 10^(5-2) = 3 × 10^3.

Front

What is the scientific notation for 0.00000078?

Back

7.8 × 10^-7