Is 5,142,376,298 divisible by 3? A calculator would come in handy for this question. Unfortunately, the calculator displays up to eight digits. If a number is greater than eight digits, then ERROR will be displayed. Since 5,142,376,298 is greater than the eight digits, therefore the calculator will be useless here.   Spending time on such an exercise not only reduces your chances of answering the problem within the two-minute time frame but is also inefficient: long division will tell you...

Certain problems involving remainders can be solved easily by Plugging in numbers that fit the problem. For example: When positive integer x is divided by 5, the remainder is 3. When the positive integer y is divided by 5, the remainder is 4. What is the remainder when x + y is divided by 5? Plug-in numbers for x and y that fit the given conditions. For instance, numbers that give a remainder of 3 when divided by 5 are 3, 8, 13, 18, 23,... Similarly, the numbers that give a remainder of 4 when...

Let's begin by solving 29 ÷ 11. Note that 29 = 11 × 2 + 7 This can be generalized as n = d × quotient + remainder (a very important relation tested) We can also write that: 29 is 7 more than 22, or that 29 is 7 more than a multiple of 11 (since 22 is a multiple of 11). In other words, we can interpret 29 = 11 × 2 + 7 as a multiple of 11, plus 7. As a general rule, you can simply say that n can be found by adding the remainder to a multiple of d. n = d × quotient + remainder is the same as n =...

Let's begin with a question. When ?17 (n) is divided by 7 (d), what is the quotient and the remainder? Quotient is ?3 and remainder is 4 Quotient is 2 and remainder is -31 This is a wrong question. n cannot be negative.   We already know from earlier lessons that n, d, quotient, and remainder must be integers such that remainder ? 0 and d ? 0. Whereas, n and quotient can be any integers (positive, negative, or zero). In the above question, n = -17, d = 7 The goal is to find a value for...

19 ÷ 5 can be viewed in many different ways, depending on what the question asks. It can be viewed as a Simple Fraction, i.e. 19/5, which can be solved using the long division to get the quotient of 3 and the remainder of 4.   ....or it can be viewed as a mixed fraction     Oops. I forgot how to convert from a simple to a mixed fraction Example: Convert 19 ÷ 5 to a mixed fraction. Divide: 19 ÷ 5 = 3 quotient, 4 remainder. Write down the quotient (3) and then write down the...

When you divide an integer by 6, the remainder could not be which of the following? Select all that apply 0 1 2 3 4 5 6 7 8 9 10   When you divide an integer by 6, the remainder could be 0, 1, 2, 3, 4, or 5. We already know that the remainder cannot be negative. Moreover, you cannot have a remainder larger than or equal to 6 (d).   Since you admire analogies, let's use one to clear this concept. Let's revisit a slightly altered version of the oranges problem you so liked in the...