Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45)?
a) front-end estimation
b) rounding to the nearest tenth
c) rounding to the nearest whole number
d) compatible numbers

Option B - rounding to the nearest tenth.

Step-by-step explanation:

Given : Product of

To find : Which estimation technique will yield a solution that is closest to the actual product?

Solution :

First we find the actual product of the given expression.

Product is multiplying two numbers,

We know, In product negative sign multiply negative sign result in positive sign.

Now, we apply all the given technique and find the best one.

A) front-end estimation - In which the first number is completely round up.

i.e,  -21.06=-20 and -30.45 = - 30

B) rounding to the nearest tenth- In which the hundredth place dropped and the tenths place does not change.

i.e,  -21.06=-21.1 and -30.45 = - 30.4

C) rounding to the nearest whole number- In which the decimal is completely rounded off.

i.e,  -21.06=-21 and -30.45 = - 30

D) compatible numbers - In which we take close in value to the actual number that make the estimating the answer

i.e,  -21.06=-22 and -30.45 = - 31

From the given option the nearby answer to the actual is when we  rounding to the nearest tenth.

Therefore, Option B is correct.

the answer will be the last one