Question

Work out (7 x 10^5) ÷ (2 × 10²)
Give your answer in standard form.

Answer 1

`3.5 x 10^6`

Explanation:

To work out (7 x 10^5) ÷ (2 × 10²) and give the answer in standard form, we need to simplify the expression and express the result in the form a × 10^n, where 1 ≤ a < 10.

First, we can simplify the expression by dividing 7 by 2 and subtracting the exponents of 10:

(7 x 10^5) ÷ (2 × 10²) = (7/2) x 10^(5-2) = 3.5 x 10^3

Next, we can express the result in standard form by moving the decimal point to the right until we have a number between 1 and 10, and adjusting the exponent accordingly:

3.5 x 10^3 = 3.5 x 10^(3+3) = 3.5 x 10^6

Therefore, (7 x 10^5) ÷ (2 × 10²) in standard form is 3.5 x 10^6.