Sure, let's convert these numbers into scientific notation step by step.
### Part a. [tex]\( 2,200,000 \)[/tex]
1. Identify the significant figures in the number. For [tex]\( 2,200,000 \)[/tex], the significant figures are [tex]\( 2.2 \)[/tex].
2. Determine the power of 10 needed to express this number. To convert [tex]\( 2,200,000 \)[/tex] to scientific notation, you move the decimal point 6 places to the left.
3. Combine the significant figures with the appropriate power of 10.
Thus, [tex]\( 2,200,000 \)[/tex] can be written in scientific notation as:
[tex]\[ 2,200,000 = 2.20 \times 10^6 \][/tex]
### Part b. [tex]\( 34,500,000,000 \)[/tex]
1. Identify the significant figures in the number. For [tex]\( 34,500,000,000 \)[/tex], the significant figures are [tex]\( 3.45 \)[/tex].
2. Determine the power of 10 needed to express this number. To convert [tex]\( 34,500,000,000 \)[/tex] to scientific notation, you move the decimal point 10 places to the left.
3. Combine the significant figures with the appropriate power of 10.
Thus, [tex]\( 34,500,000,000 \)[/tex] can be written in scientific notation as:
[tex]\[ 34,500,000,000 = 3.45 \times 10^{10} \][/tex]
Therefore, the scientific notation forms of the given numbers are:
a. [tex]\( 2,200,000 = 2.20 \times 10^6 \)[/tex]
b. [tex]\( 34,500,000,000 = 3.45 \times 10^{10} \)[/tex]
