Answer :
Sure, I can help you with that! Converting each number into scientific notation involves expressing the number in the form of [tex]\( a \times 10^n \)[/tex], where [tex]\( 1 \leq |a| < 10 \)[/tex] and [tex]\( n \)[/tex] is an integer. Here are the steps to convert each number:
1. 300,000
- Move the decimal point 5 places to the left.
- This gives [tex]\( 3.0 \times 10^5 \)[/tex].
- So, [tex]\( 300,000 \)[/tex] in scientific notation is [tex]\( 3.0 \times 10^5 \)[/tex].
2. 0.000004
- Move the decimal point 6 places to the right.
- This gives [tex]\( 4.0 \times 10^{-6} \)[/tex].
- So, [tex]\( 0.000004 \)[/tex] in scientific notation is [tex]\( 4.0 \times 10^{-6} \)[/tex].
3. 0.00062
- Move the decimal point 4 places to the right.
- This gives [tex]\( 6.2 \times 10^{-4} \)[/tex].
- So, [tex]\( 0.00062 \)[/tex] in scientific notation is [tex]\( 6.2 \times 10^{-4} \)[/tex].
4. 450,000,000
- Move the decimal point 8 places to the left.
- This gives [tex]\( 4.5 \times 10^8 \)[/tex].
- So, [tex]\( 450,000,000 \)[/tex] in scientific notation is [tex]\( 4.5 \times 10^8 \)[/tex].
5. 0.000128
- Move the decimal point 4 places to the right.
- This gives [tex]\( 1.28 \times 10^{-4} \)[/tex].
- So, [tex]\( 0.000128 \)[/tex] in scientific notation is [tex]\( 1.28 \times 10^{-4} \)[/tex].
6. 37,100,000,000
- Move the decimal point 10 places to the left.
- This gives [tex]\( 3.71 \times 10^{10} \)[/tex].
- So, [tex]\( 37,100,000,000 \)[/tex] in scientific notation is [tex]\( 3.71 \times 10^{10} \)[/tex].
So, the numbers in scientific notation are:
1. [tex]\( 3.0 \times 10^5 \)[/tex]
2. [tex]\( 4.0 \times 10^{-6} \)[/tex]
3. [tex]\( 6.2 \times 10^{-4} \)[/tex]
4. [tex]\( 4.5 \times 10^8 \)[/tex]
5. [tex]\( 1.28 \times 10^{-4} \)[/tex]
6. [tex]\( 3.71 \times 10^{10} \)[/tex]
1. 300,000
- Move the decimal point 5 places to the left.
- This gives [tex]\( 3.0 \times 10^5 \)[/tex].
- So, [tex]\( 300,000 \)[/tex] in scientific notation is [tex]\( 3.0 \times 10^5 \)[/tex].
2. 0.000004
- Move the decimal point 6 places to the right.
- This gives [tex]\( 4.0 \times 10^{-6} \)[/tex].
- So, [tex]\( 0.000004 \)[/tex] in scientific notation is [tex]\( 4.0 \times 10^{-6} \)[/tex].
3. 0.00062
- Move the decimal point 4 places to the right.
- This gives [tex]\( 6.2 \times 10^{-4} \)[/tex].
- So, [tex]\( 0.00062 \)[/tex] in scientific notation is [tex]\( 6.2 \times 10^{-4} \)[/tex].
4. 450,000,000
- Move the decimal point 8 places to the left.
- This gives [tex]\( 4.5 \times 10^8 \)[/tex].
- So, [tex]\( 450,000,000 \)[/tex] in scientific notation is [tex]\( 4.5 \times 10^8 \)[/tex].
5. 0.000128
- Move the decimal point 4 places to the right.
- This gives [tex]\( 1.28 \times 10^{-4} \)[/tex].
- So, [tex]\( 0.000128 \)[/tex] in scientific notation is [tex]\( 1.28 \times 10^{-4} \)[/tex].
6. 37,100,000,000
- Move the decimal point 10 places to the left.
- This gives [tex]\( 3.71 \times 10^{10} \)[/tex].
- So, [tex]\( 37,100,000,000 \)[/tex] in scientific notation is [tex]\( 3.71 \times 10^{10} \)[/tex].
So, the numbers in scientific notation are:
1. [tex]\( 3.0 \times 10^5 \)[/tex]
2. [tex]\( 4.0 \times 10^{-6} \)[/tex]
3. [tex]\( 6.2 \times 10^{-4} \)[/tex]
4. [tex]\( 4.5 \times 10^8 \)[/tex]
5. [tex]\( 1.28 \times 10^{-4} \)[/tex]
6. [tex]\( 3.71 \times 10^{10} \)[/tex]
