Question

theo had trouble because the divisor was a decimal. to use the standard algorithm, start by finding an equivalent expression with a whole number divisor. which expression is equivalent to $34 \div 0.02$? $3.4 \div 2$ $34 \div 2$ $340 \div 2$ $3,400 \div 2$

Explanation:

Step1: Recall the rule of equivalent division

To make the divisor a whole number, we multiply both the dividend and the divisor by the same power of 10. For \(0.02\), we multiply by \(100\) to get \(2\).

Step2: Multiply dividend by 100

Multiply \(34\) by \(100\): \(34\times100 = 3400\).

Step3: Form the equivalent expression

So the equivalent expression of \(34\div0.02\) is \(3400\div2\) (since we multiplied both \(34\) and \(0.02\) by \(100\)).

Answer:

\(3,400 \div 2\)