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Write the following numbers in scientific notation:

a. 2,200,000 =

b. 34,500,000,000 =

Sagot :

GinnyAnsweridn
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]
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