Name:___________________________ #______
Math Topic 3: Using Place Value to Add and Subtract
Study Guide
I can:
 Solve 3-digit addition problems using an expanded algorithm. (3-1)
 Add 3-digit numbers using place-value blocks or pictures and record
the results using the standard algorithm. (3-2)
 Add 3-digit numbers using paper-and-pencil methods and use addition
to solve problems. (3-3)
 Add 3 or more 2-digit and/or 3-digit numbers using paper-and-pencil
methods and use addition to solve problems. (3-4)
 Draw a picture to solve a problem. (3-5)
 Solve 3-digit subtraction problems by breaking them into smaller,
easier subtraction problems. (3-6)
 Subtract 3-digit numbers using place-value blocks or pictures and
record the results using the standard subtraction algorithm. (3-7)
 Subtract 3-digit numbers using paper-and-pencil methods and use
subtraction to solve problems. (3-8)
 Subtract 3-digit numbers using paper-and-pencil methods and use
subtraction to solve problems. (3-9)
 Decide whether both sides of an addition equation are equal and they
will determine the value of an unknown number in an addition equation.
(3-10)
 Decide whether both sides of a subtraction equation are equal and
they will determine the value of an unknown number in a subtraction
problem. (3-11)
 Use operations with an inverse relationship to check subtraction and
addition. (3-12)
 Solve problems by writing a number sentence based on a picture they
have drawn describing the problem. (3-13)
How much effort did you put into math?
Minutes Studied:________________
Study Guide Answers
1.)
C
2.) B
3.) C
4.) 431+504=935 First, I added 400+500 to get
900. Next, I added 30+0 to get 30. Then, I added
1+4 to get 5. Finally, I added 900+30+5 to get
935.
Study Guide Answers
1.)
D
2.) C
3.) I write the two addends on top of each other.
First I add ones. If there are 10 or more, I regroup
10 ones for 1 ten. Then I add tens. If there are 10
or more, I regroup 10 tens for 1 hundred. Then I
add hundreds. I regroup if there are 10 or more.
Then I have the answer.
Study Guide Answers
1.)
C
2.) D
3.) 403+268=671. First she broke apart the numbers.
403= 400+3 268=200+68
She added the hundreds. She got 600. Then she
added 68+3, which is 71. 600+71=671
Study Guide Answers
1.)
B
2.) B
3.) Remi forgot about place value. Like, he put the 6 in
the hundred place, so the answer is way off. I lined
the numbers up. Then I added:
357
+ 84
6
447
Study Guide Answers
1.)
C
2.) B
3.) I made a diagram with 3 parts because the problem
has 3 numbers to add. The 1st box has 12 for the
12 maples. The 2nd box has 28 for the 28 willows.
The 3rd box has 13 for the 13 oaks. The line over
the top reminds me to add all three parts to get
the sum. 12+28+13= 53. Dinah counted exactly 53
trees.
53 trees
12
28
13
Study Guide Answers
1.)
A
2.)
D
3.)
428-154= 274
First I subtracted the hundreds from 428. There is 1 hundred in 154.
428-100= 328
Next I subtracted the tens from the new difference, 328. There are 5 tens in
154, but there are only 2 tens in 328. I subtracted the 2 tens that are there.
Then I subtracted the 3 tens that were left.
328-20= 308
308-30= 278
Finally I subtracted the ones from the new number, 278. There are 4 ones in
154.
278-4=274
Study Guide Answers
1.) B
2.) D
3.) I know how many school days in all—192. That’s the whole. I know
one part—Heath missed 24 days of school. So I have to figure
out the other part—how many days Heath went to school. So I
subtract to find the missing part. Heath was in school for 168
days.
8 12
192
- 24
168
Study Guide Answers
1.)
C
2.) B
3.) A
4.) 1. Look at the ones place. If the number of ones to
take away is more than the number of ones you have,
you regroup—trade 1 ten for 10 ones.
2. Look at tens place. If the number of tens to take
away is more than the number of tens you have, you
regroup—trade 1 hundred for 10 tens.
3. Now you can subtract.
8 13 13
943
-688
255
Study Guide Answers
1.)
B
2.) C
3.) Ramon made a regrouping mistake. He traded 1
hundred for 10 ones instead of 10 tens. I think he
skipped the tens place. He needs to trade 1
hundreds for 10 tens, then trade 1 of those new
tens for 10 ones.
9
41010
500
-127
373
Study Guide Answers
1.) D
2.) A
3.) An addition fact for n+7=15 is
8+7=15. I know this is true because
both sides of the equation are equal.
Since 8 is in the place for n in the
equation, n has to be 8.
Study Guide Answers
1.) C
2.) B
3.) A subtraction fact for n-9=5 is
14-9=5. I know this is true because
both sides of the equation are
equal. Since 14 is in the place for n
in the equation, n has to be 14.
Study Guide Answers
1.)
A
2.) C
3.) B
4.) Pete’s answer is wrong. He did not regroup the 10 tens
as 9 tens and 10 ones when he subtracted.
9
2 1012
302
- 1 1 9
1 83
The right answer is 183.
Study Guide Answers
1.)
C
2.) D
3.) B
4.) I made a diagram to compare. The top box is for
Eagle Peak—917 feet. The bottom box has two
parts: I know that Slag Peak is 634 feet high. So I
need to find the number to go in the ? box to equal
917.
Compare
means
subtract:
917-634=283.
Eagle Peak is 283 feet taller than Slag Peak.
917
634
?