Question

without dividing, how can you decide whether the quotient 5.19 ÷ 3 will be less than or greater than 2?
complete the statement.
dropdown than 2 because box ÷ 3 = 2 and 5.19 dropdown box

Explanation:

Step1: Recall division relationship

We know that in division, if \(a\div b = c\), then \(a = b\times c\). For the equation \(\square\div3 = 2\), we can find \(\square\) by multiplying \(3\) and \(2\), so \(\square=3\times2 = 6\).

Step2: Compare with 5.19

Now we compare \(5.19\) (assuming \(5\ 19\) is a typo for \(5.19\)) with \(6\). We can see that \(5.19<6\). When we divide a number by \(3\), if the dividend is smaller, the quotient will be smaller. Since \(5.19 < 6\) and \(6\div3 = 2\), then \(5.19\div3\) will be less than \(2\).

Answer:

Greater/less: less; \(\square\) (first): \(6\); \(5.19\) \(\square\) (second): \(<\); \(6\)

So the completed statement is: less than 2 because \(6\div3 = 2\) and \(5.19<6\)