Which quotient will be larger: 3444÷42 or 4368÷42? How do you know without dividing?
Mathematics · Thu Dec 08 2022
Answered on
To determine which quotient will be larger without dividing, you can compare the dividends (3444 and 4368) directly. In this case, both dividends are divisible by 42.
Extra: Dividends are the numbers being divided. Divisibility means that the dividend can be divided evenly by a given divisor without leaving a remainder.
In this case, both 3444 and 4368 can be divided evenly by 42. To compare their quotients without actually performing the division, you can look at the number of times 42 is multiplied to get each dividend.
Dividing 3444 by 42 results in a quotient of 82, while dividing 4368 by 42 gives a quotient of 104. Comparing the quotients, we can see that the quotient for 4368 divided by 42 is larger than the quotient for 3444 divided by 42. Therefore, the quotient 4368÷42 will be larger than 3444÷42.