Sure! Let's go step by step to estimate the value of [tex]\( 73.182 \times 3.473 \)[/tex].
1. Round each number to one decimal place:
- The number [tex]\( 73.182 \)[/tex] rounded to one decimal place is [tex]\( 73.2 \)[/tex].
- The number [tex]\( 3.473 \)[/tex] rounded to one decimal place is [tex]\( 3.5 \)[/tex].
2. Multiply the rounded numbers to get an estimated value:
[tex]\[
73.2 \times 3.5 = 256.2
\][/tex]
3. Calculate the actual value:
[tex]\[
73.182 \times 3.473 = 254.161086
\][/tex]
4. Summary:
- The estimated value, obtained by rounding each number to one decimal place and multiplying, is [tex]\( 256.2 \)[/tex].
- The actual value is [tex]\( 254.161086 \)[/tex].
So, the estimate for the product [tex]\( 73.182 \times 3.473 \)[/tex] is [tex]\( 256.2 \)[/tex], while the actual value is [tex]\( 254.161086 \)[/tex].
