Question

change from standard form to scientific notation: 12,000,000
options:
1.2 × 10⁶
12.0 × 10⁷
1.2 × 10⁷
0.12 × 10⁷

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.

Step2: Analyze the number 12,000,000

First, find \( a \) and \( n \) for 12,000,000. Move the decimal point to get a number between 1 and 10. For 12,000,000, moving the decimal 7 places left gives \( a = 1.2 \), and \( n = 7 \). So in scientific notation, it is \( 1.2 \times 10^7 \).

Step3: Evaluate the options

• \( 1.2 \times 10^6 \): \( 10^6 = 1,000,000 \), \( 1.2 \times 1,000,000 = 1,200,000

eq 12,000,000 \).

• \( 12.0 \times 10^7 \): \( 12.0 \) is not between 1 and 10 (violates scientific notation rule).
• \( 1.2 \times 10^7 \): \( 1.2 \times 10^7 = 1.2 \times 10,000,000 = 12,000,000 \), which matches.
• \( 0.12 \times 10^7 \): \( 0.12 \times 10,000,000 = 1,200,000

eq 12,000,000 \).

Answer:

The correct option is the one with \( 1.2 \times 10^7 \) (the orange - colored option: \( 1.2 \times 10^7 \))