Question

Multiply the following numbers, using scientific notation and the correct amount of significant digits. 1.003 m⋅3.09 = _____ 3.099 m 3.10 m 3.0993 m 3.1 m

Answer 1

3.10 m

Step-by-step explanation:

When we multiply or divide there is a rule for significant digits given below:

“The answer will be rounded off to the shortest number of significant digits among the numbers which are being multiplied or divided”.

When we multiply 1.003 m and 3.10, we get 3.1093 m. But we have round it off according to the rule up to 3 significant digits because one of the numbers has 3 significant digits. Hence, answer will be 3.10m.

Answer 2

correct answer is 3.10

Step-by-step explanation:

in this question we have to multiply two numbers 1.003 and 3.09.

1.003 has 4 significant digits and 3.09 has 3 significant digits so answer must have 3 significant digits.

`1.003* 3.09=3.09927`

`1.003* 3.09=3.10`

Hope it will help you