Sure! Let's write each number given in scientific notation, step by step:
2. (a) [tex]\( 5,700,000 \)[/tex]
To convert [tex]\( 5,700,000 \)[/tex] to scientific notation, we express it as:
[tex]\[ 5.70 \times 10^6 \][/tex]
3. (a) [tex]\( 0.000053 \)[/tex]
To convert [tex]\( 0.000053 \)[/tex] to scientific notation, we express it as:
[tex]\[ 5.30 \times 10^{-5} \][/tex]
3. (b) [tex]\( 819,000 \)[/tex]
To convert [tex]\( 819,000 \)[/tex] to scientific notation, we express it as:
[tex]\[ 8.19 \times 10^5 \][/tex]
3. (c) [tex]\( 4,000,000,000 \)[/tex]
To convert [tex]\( 4,000,000,000 \)[/tex] to scientific notation, we express it as:
[tex]\[ 4.00 \times 10^9 \][/tex]
3. (d) [tex]\( 0.000000084 \)[/tex]
To convert [tex]\( 0.000000084 \)[/tex] to scientific notation, we express it as:
[tex]\[ 8.40 \times 10^{-8} \][/tex]
3. (e) [tex]\( 0.0009 \)[/tex]
To convert [tex]\( 0.0009 \)[/tex] to scientific notation, we express it as:
[tex]\[ 9.00 \times 10^{-4} \][/tex]
3. (f) [tex]\( 56,000 \)[/tex]
To convert [tex]\( 56,000 \)[/tex] to scientific notation, we express it as:
[tex]\[ 5.60 \times 10^4 \][/tex]
3. (g) [tex]\( 0.0603 \)[/tex]
To convert [tex]\( 0.0603 \)[/tex] to scientific notation, we express it as:
[tex]\[ 6.03 \times 10^{-2} \][/tex]
So, the scientific notations for the numbers are:
- [tex]\( 5,700,000 \)[/tex] becomes [tex]\( 5.70 \times 10^6 \)[/tex]
- [tex]\( 0.000053 \)[/tex] becomes [tex]\( 5.30 \times 10^{-5} \)[/tex]
- [tex]\( 819,000 \)[/tex] becomes [tex]\( 8.19 \times 10^5 \)[/tex]
- [tex]\( 4,000,000,000 \)[/tex] becomes [tex]\( 4.00 \times 10^9 \)[/tex]
- [tex]\( 0.000000084 \)[/tex] becomes [tex]\( 8.40 \times 10^{-8} \)[/tex]
- [tex]\( 0.0009 \)[/tex] becomes [tex]\( 9.00 \times 10^{-4} \)[/tex]
- [tex]\( 56,000 \)[/tex] becomes [tex]\( 5.60 \times 10^4 \)[/tex]
- [tex]\( 0.0603 \)[/tex] becomes [tex]\( 6.03 \times 10^{-2} \)[/tex]
