Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

8 what is the value of $6.7 \\times 0.54$? a 3.618 b 36.18 c 6.63 d 6.16

Question

8 what is the value of $6.7 \times 0.54$? a 3.618 b 36.18 c 6.63 d 6.16

Explanation:

Step1: Multiply the numbers as integers

First, ignore the decimal points and multiply \(67\times54\).
\(67\times54=(70 - 3)\times54 = 70\times54-3\times54=3780 - 162 = 3618\).

Step2: Determine the number of decimal places

The number \(6.7\) has 1 decimal place and \(0.54\) has 2 decimal places. So in total, there are \(1 + 2=3\) decimal places.

Step3: Place the decimal in the product

Starting from the right of \(3618\), move the decimal point 3 places to the left. So \(3618\) becomes \(3.618\).

Answer:

A. 3.618