Question

1 (1.89×10⁻⁴)×(0.43×10³)
2 (0.49×10⁻⁷)÷(2.15×10⁵)
3 (4.32×10⁻⁶)×(1.96×10⁻⁶)
4 (4.78×10⁹)×(7.24×10³)
5 (8.43×10⁴)÷(2.03×10²)
6 (2.31×10⁴)×(3.49×10⁶)
7 (9.63×10⁹)÷(3.33×10⁵)
8 (2.68×10⁻³)÷(0.47×10⁻⁷)
9 \\(\frac{6.9×10⁷}{2.3×10⁻³}\\)
10 which of the following is the largest?
a) 2.34×10⁻⁶
b) 2.034×10⁻⁵
c) 2.304×10⁻⁶
d) 2.3×10⁻⁵

Explanation:

Step1: Multiply coefficients, add exponents

$(1.89 \times 6.43) \times 10^{-4+3} = 12.1527 \times 10^{-1}$

Step2: Convert to proper scientific notation

$1.21527 \times 10^{0} = 1.21527$

Step1: Divide coefficients, subtract exponents

$(0.49 \div 2.13) \times 10^{-7-5} \approx 0.2300 \times 10^{-12}$

Step2: Convert to proper scientific notation

$2.300 \times 10^{-13}$

Step1: Multiply coefficients, add exponents

$(4.32 \times 1.96) \times 10^{-6+(-6)} = 8.4672 \times 10^{-12}$

Step1: Multiply coefficients, add exponents

$(4.78 \times 7.24) \times 10^{9+3} = 34.6072 \times 10^{12}$

Step2: Convert to proper scientific notation

$3.46072 \times 10^{13}$

Step1: Divide coefficients, subtract exponents

$(8.43 \div 2.03) \times 10^{4-2} \approx 4.1527 \times 10^{2}$

Step1: Multiply coefficients, add exponents

$(2.31 \times 3.49) \times 10^{4+6} = 8.0619 \times 10^{10}$

Step1: Divide coefficients, subtract exponents

$(9.63 \div 3.33) \times 10^{9-5} \approx 2.8919 \times 10^{4}$

Step1: Divide coefficients, subtract exponents

$(2.68 \div 0.47) \times 10^{-3-(-7)} \approx 5.7021 \times 10^{4}$

Step1: Divide coefficients, subtract exponents

$(6.9 \div 2.3) \times 10^{7-(-3)} = 3 \times 10^{10}$

Step1: Convert to same exponent for comparison

A: $2.34 \times 10^{-6}$, B: $20.34 \times 10^{-6}$, C: $2.304 \times 10^{-6}$, D: $23 \times 10^{-6}$

Step2: Identify largest value

Compare coefficients: $23 > 20.34 > 2.34 > 2.304$

Answer:

1. $1.21527$
2. $2.300 \times 10^{-13}$
3. $8.4672 \times 10^{-12}$
4. $3.46072 \times 10^{13}$
5. $4.1527 \times 10^{2}$
6. $8.0619 \times 10^{10}$
7. $2.8919 \times 10^{4}$
8. $5.7021 \times 10^{4}$
9. $3 \times 10^{10}$
10. D. $2.3 \times 10^{-5}$