Answer:
Explanation:
An interesting question to get us thinking about place values! Let's start with making sure we understand what the places are. I know it's basic, but math is often basic:
ones . tenths hundredths thousandths
↑decimal point
Agree? Good, then let's evaluate each of the answer choices.
A. Do we have 5 ones? Yes. 2 tenths? Yes. 6 thousandths? Yes. Then A is a correct choice.
But I see others, so let's keep going. Plus it said, "Choose all that apply." Be careful with those, find ALL the answers.
B. Put those numbers in your calculator (or do it manually), and you'll get 5.26 That does NOT equal 5.206, so B is incorrect.
C. 5 x 1 is just 5, so yes. Ah, they're getting tricky on us, but 2 x 1/10 is 2/10, and now say it out loud: "two tenths" Isn't that what we have in the tenths place, a 2? Yes. Finally, 6 x 1/100 is 6/100, and we'd usually say that as "six hundredths." But be careful: they're trying to trick us! We have ZERO hundredths, not 6 of them. But we do have 6 thousandths, and that was their trick. C is incorrect.
D. Those simplify to 5, 0.2, and 0.006, so when you add them together you get 5.206. D is correct.
E. I like this one because it brings up a great point. Let me break out of E and discuss it generally.
Did you notice the symmetry of the "places"? "Ones" and "tenths" are sort of twins on either side of the decimal. Their names don't give it away, but they're both some fraction of 10.
But compare hundredths to hundreds. Both are two places away from the decimal, and they both sort of mean the same thing, but the one that's smaller than 1 (because it's really a fraction), we put that "ths" on the end of its name.
Same with thousands and thousandths. Now look at Choice E, closely! What word is there? Thousands, which means the place 4 to the left of the decimal. Forget the "5206" there, there's no way that ANY amount of thousands is going to be right.
I thought you had a typo there, but the worksheet says the same thing: thousands. It probably wasn't a typo on their part, they were probably testing how closely we were paying attention. (Which is most of what math is about, being careful and paying attention.)
And the cool thing is: if they HAD written thousandths there, that would be correct! "5,206 thousandths" means you'd put the 6 in the thousandths place, then the 0 to the left of it, next the 2, then the 5, and you'd end up with 5.206. Try it and see.
So back to E:
E. is incorrect as discussed above.
F. Put it in your calculator and see. 5.206, right? So F is correct. (And this is really the same discussion I had above, because when you put 5206 over 1000, now you're talking about fractions called thousandths.)
So there ya go. I know it was a long read, but I hope you understood and remember it.