What is the area of a rectangle that has width of 1.50 x 103 cm and a length of 2.30 x 106 cm? Keep all the significant figures.

You multiply 1.50 tmes 103 to get the rectangle width and 2.30 times 106 to get rectangle lenghth then multiply the width times length

1.50 x 103=154.5

2.30 x 106 = 243.8

243.8 * 154.5 = 37,667.1

I think you intend for those numbers "103" and "106"

to be powers of ten ... 10³ and 10⁶.

So, if I am not barking up the wrong tree, the exercise

goes like this:

Width = 1.50 x 10³ cm

Length = 2.30 x 10⁶ cm

Area = (length) x (width) = (2.30 x 10⁶ cm) x (1.50 x 10³ cm)

= (2.30cm x 1.50cm) x (10⁶ x 10³)

= 3.45 x 10⁹ cm²

= 3.45 x 10⁵ m²