QuestionDoes the quotient have a remainder? Choose Yes or No. \begin{tabular}{|l|l|l|} \cline { 2 - 3 } \multicolumn{1}{c|}{} & Yes & No \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline \end{tabular}
Studdy Solution
STEP 1
What is this asking?
For each division problem, figure out if there's anything left over after dividing evenly.
Watch out!
Don't mix up the ideas of remainders and fractions.
A remainder is what's left over *before* converting to a fraction or decimal.
STEP 2
1. Thousand by Sixty
2. Five Thousand by Twenty
3. Nine Thousand Four Hundred Ninety-Five by Fifteen
4. Seven Thousand and Five by Twenty-Five
STEP 3
Let's **divide** by .
Why? Because that's what the problem tells us to do!
We want to see if there's a remainder.
So, .
STEP 4
Think of it like this: how many times does fit into ?
Well, , and , which is too big.
So, it fits in at least times, maybe a bit more.
STEP 5
Let's do the division: with a **remainder** of .
We can write this as .
See how the is left over?
That's our remainder!
So the answer is **yes**, there *is* a remainder.
STEP 6
Now we have .
Let's see how many times fits into .
STEP 7
We can do this division pretty easily: .
There's no remainder here!
We can write this as .
Since the remainder is **zero**, the answer is **no**.
STEP 8
Time for .
This one's a bit bigger, but we can handle it!
STEP 9
Doing the division, we find .
Perfectly! No remainder here either.
We can write this as .
Since the remainder is **zero**, the answer is **no**.
STEP 10
Last one: .
STEP 11
Dividing, we get with a **remainder** of .
We can write this as .
Since there's a remainder of **five**, the answer is **yes**.
STEP 12
has a remainder (Yes) has no remainder (No) has no remainder (No) has a remainder (Yes)
Was this helpful?
