Question

in standard form.
(b) 8.578 x 10^2 x 10^2
(d) 1500 + 50 + 2
(f) 10^6 x 0.001001000
(h) 0.00092 x 10^8​

Answer 1

Step-by-step explanation:

(b)

$\: \: \: \: \: 8.578 \times {10}^{2} \times {10}^{2} \\ = 8578 \times {10}^{ - 3} \times {10}^{4} \\ = 8578 \times 10 \\ = 8578 \\ = 8.578 \times {10}^{3}$

(d)

$\: \: \: \: \: 1500 + 50 + 2 \\ = 1552 \\ = 1.552 \times {10}^{3}$

(f)

$\: \: \: \: \: {10}^{6} \times 0.001001000 \\ = {10}^{6} \times 0.001001 \\ = {10}^{6} \times 1001 \times {10}^{ - 6} \\ = 1001 \\ = 1.001 \times {10}^{3}$

(h)

$\: \: \: \: \: 0.00092 \times {10}^{8} \\ = 92 \times {10}^{ - 5} \times {10}^{8} \\ = 92 \times {10}^{3} \\ = 9.2 \times 10 \times {10}^{3} \\ = 9.2 \times {10}^{4}$