Question

Express the following numbers in standard form. [A] 509.78 [B] 0.0289 Can someone please help me ? I need to answer that question by 12.00 PM. Help me please.

Answer 1

[A] 5.0978 × 10²

[B] 2.89 × 10⁻²

Explanation:

The decimal point must be after the first non-zero digit of the number.

5.0978

The decimal needs to be multiplied by a number that leads to 509.78. That number is 100 or 10².

5.0978 × 10²

Once again, the decimal point must be after the first non-zero digit of the number.

2.89

The decimal needs to be multiplied by a number that leads to 0.0289. That number is 0.01 or 10⁻².

2.89 × 10⁻²

Answer 2

(A) 509.78

We need to move the decimal point after the first non-zero digit

So,

=> 5.0978 × 10² (Since the decimal point is moved two places to the left)

(B) 0.0289

Again after the first non-zero digit:

So, it becomes:

=> 2.89 × 10⁻² (Since the decimal point is moved 2 places to the right so it will be negative also)