Question

Find each product or quotient. use significant digits. 0.405 m 553 m

a. 224 m2
b. 223.97 m2
c. 223.965 m2
d. 223.9 m2

Answer 1

the answer is C 223.965m2

Answer 2

C.
`223.965\text{ m}^2`

Explanation:

We are asked to find the product of our given numbers: 0.405 m and 553 m.

Upon multiplying both numbers, we will get:

`0.405\text{ m}* 553\text{ m}`

`0.405* 553\text{ m}^2`

`223.965\text{ m}^2`

Now, we will use significant figures rule to give our final answer. The rules are:

• Any non-zero digits are significant. The zeros between two digits are always significant.
• Leading zeros (zeros before non-zero numbers) are not significant.

• Trailing zeros (zeros after non-zero numbers) are significant, if they are after decimal. If trialing zeros without decimal are not significant.

Since we have three non-zero digits after decimal, so these are significant digits.

Therefore, the product of our given numbers would be
`223.965\text{ m}^2` and option C is the correct choice.