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write the number in scientific notation. 10,700,000 = 10.7 × 10⁶

Question

write the number in scientific notation.
10,700,000 = 10.7 × 10⁶

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: Adjust the coefficient

For \( 10,700,000 \), we need to make the coefficient \( a \) between 1 and 10. So we rewrite \( 10.7\times10^{6} \) as \( 1.07\times10^{7} \) (since \( 10.7 = 1.07\times10^{1} \), so \( 1.07\times10^{1}\times10^{6}=1.07\times10^{7} \)).

Answer:

\( 1.07 \times 10^{7} \)