Question

remy says: to determine the value of 0.27 ÷ 0.003, i can divide 270 by 3. is remy correct? yes no

Explanation:

Step1: Recall the rule of dividing decimals

When dividing decimals, we can multiply both the dividend and the divisor by the same non - zero number to make the divisor a whole number. This is based on the property of equality of division: if \(a\div b=(a\times c)\div(b\times c)\) for \(c
eq0\).

Step2: Apply the rule to \(0.27\div0.003\)

We want to make the divisor \(0.003\) a whole number. We can multiply both the dividend \(0.27\) and the divisor \(0.003\) by \(1000\) (because \(0.003\times1000 = 3\)).
So, \(0.27\times1000=270\) and \(0.003\times1000 = 3\).
Then \(0.27\div0.003=(0.27\times1000)\div(0.003\times1000)=270\div3\).

Step3: Calculate both expressions

First, calculate \(0.27\div0.003\). Since \(0.27\div0.003=\frac{0.27}{0.003}=\frac{270}{3}\) (after multiplying numerator and denominator by 1000). And \(270\div3 = 90\), and \(0.27\div0.003 = 90\) as well. So both \(0.27\div0.003\) and \(270\div3\) give the same result.

Answer:

Yes