Question

Perform the followingmathematical operation, andreport the answer to thecorrect number of significantfigures.45.2 x 0.035 = [?]

Answer 1

INFORMATION:

We have the next multiplication

$45.2\times0.035$

And we must solve it

STEP BY STEP EXPLANATION:

To solve a decimal multiplication we must:

1. Convert the decimal numbers to whole numbers by multiplying as many 10s as equal to number of decimal places

$45.2\times10=452$$0.035\times1000=35$

2. Perform the multiplication of whole numbers

3. Divide the product by as many 10s as multiplied to both multiplicand and multiplier, to write an exact product.

In our case, we multiply the multiplicand by 10 and the multiplier by 1000, so we must divide the product by 10000

$15820\div10000=1.5820$

So, 45.2 x 0.035 = 1.582

ANSWER:

1.582