DATE
NAME
Place Value Cards
Ones
Tens
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Hundreds
Thousands
Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
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DATE
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Representing Numbers (Review)
Eugene makes a model of the number 342 using base ten materials.
He writes the number in expanded form, using numerals and words and using numerals alone.
342 = 3 hundreds + 4 tens + 2 ones expanded form (using numerals and words)
342 = 300 + 40 + 2 expanded form (using numerals)
1. Draw a model. Write the number in expanded form using numerals and
words and using numerals.
a) 125
125 = 1 hundred + 2 tens + 5 ones
125 = 100 + 20 + 5
b) 234
234 =
234 =
c) 2,307
2,307 =
2. Write numerals for the following number words.
a) forty-one
c) seven hundred thirty-one
e) seven hundred thousand, sixty-five
b) five hundred twenty-nine
d) eight hundred thirty thousand, one hundred ninety
f ) eighty-nine thousand, five hundred two
3. Write number words for the following numbers.
a)952
b)3,000
c)4,700
d)630,040
e)20,981
f ) 235,862
4.Represent the number 3,275 three ways: by sketching a model, with number words,
and in expanded form.
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Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION
2,307 =
DATE
NAME
Differences (Advanced) (1)
1. Write the numbers that are 1 more and 1 less than the given number.
a) 1 less than 432,600 is
.
.
1 more than 432,600 is
b) 1 less than 563,429 is
c) 1 less than 308,499 is
.
.
1 more than 308,499 is
.
1 more than 563,429 is
.
d) 1 less than 720,000 is
.
1 more than 720,000 is
.
The number of tens in a number is not the same as the tens digit!
Example: 235 = 23 tens + 5 ones, so 235 has 23 tens, but the tens digit is 3.
2. Write the tens digit and how many tens are in the number.
a)
217 has tens digit
217 has
.
tens.
b)
183 has tens digit
183 has
.
tens.
COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION
c) 246 has tens digit
246 has
.
tens.
e) 1,673 has tens digit
1,673 has
g) 8,005 has tens digit
8,005 has
d) 945 has tens digit
.
tens.
f) 7,025 has tens digit
tens.
.
945 has
.
7,025 has
.
tens.
h) 6,200 has tens digit
tens.
6,200 has
.
tens.
Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
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DATE
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Differences (Advanced) (2)
To find the number of tens in a number, hide the ones digit.
Example: 345 becomes 34
, so there are 34 tens in 345.
3. How many tens are in each number?
a) 249 has
tens.
c) 43,890 has
tens.
e) 912,417 has
tens.
b) 3,162 has
tens.
d) 8,473 has
tens.
f) 65,043 has
tens.
4. How many hundreds are in 1,000?
5. How many hundreds are in each number?
a) 2,000 has
hundreds.
b) 3,000 has
hundreds.
c) 2,300 has
hundreds.
d) 3,600 has
hundreds.
e) 2,381 has
hundreds.
f) 3,642 has
hundreds.
g) 4,512 has
hundreds.
h) 9,385 has
hundreds.
To find the number of hundreds in a number, hide the ones and tens digits.
Example: 64,219 becomes 64,2
, so there are 642 hundreds in 64,219.
6. How many hundreds are in each number?
hundreds.
c) 512,630 has
e) 64,387 has
hundreds.
hundreds.
b) 5,195 has
d) 730,042 has
f) 2,061 has
hundreds.
hundreds.
hundreds.
7. How would you find the number of thousands in a number? Explain using an example.
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Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION
a) 342 has
DATE
NAME
Differences (Advanced) (3)
8. Add 10 to the number by adding 1 to the number of tens.
a)357 + 10 =
3
6
c)794 + 10 =
e)896 + 10 =
7
b)863 + 10 =
3
4
d)542 + 10 =
2
f)591 + 10 =
g)3,452 + 10 =
h)8,635 + 10 =
i)54,816 + 10 =
j)62,394 + 10 =
906
9. Add 100 to the number by adding 1 to the number of hundreds.
a)356 + 100 =
5
c)8,913 + 100 =
6
1
b)3,943 + 100 =
3
d)918 + 100 =
e)7,412 + 100 =
f)6,932 + 100 =
g)43,986 + 100 =
h)54,217 + 100 =
a) 7,936 + 100 =
b)7,936 + 10 =
c) 8,991 + 100 =
d)8,991 + 10 =
e) 34,805 + 10 =
f)399,942 + 100 =
4
1
3
8
10.Add 10 or 100 to the number.
11. How would you add 1,000 to a number? Explain using an example.
COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION
12.Subtract 10, 100, or 1,000 by subtracting 1 from the number of tens, hundreds, or thousands.
a)843,201 − 1,000 =
b) 843,201 − 100 =
c)843,201 − 10 =
d) 730,000 − 1,000 =
e)730,000 − 10 =
f) 2,600 − 10 =
g)8,000 − 100 =
h) 805,321 − 10,000 =
Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
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DATE
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54¢
34¢
29¢
27¢
11¢
12¢
19¢
15¢
76¢
39¢
92¢
47¢
Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
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Food Sale (1)
DATE
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Food Sale (2)
37¢
43¢
78¢
87¢
32¢
41¢
69¢
93¢
56¢
51¢
23¢
61¢
E
ORANG
Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
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Adding with Money
REMINDER
1 dime = ten cents = 10¢ = 10 pennies
1. Write how many dimes there are in each case.
a)10¢ =
dime
b) 20¢ =
dimes c) 80¢ =
dimes d) 50¢ =
dimes
2. Rewrite each amount in dimes and pennies.
a)51¢ =
dimes +
5
1
penny
b) 23¢ =
dimes +
pennies
c)67¢ =
dimes +
pennies
d) 92¢ =
dimes +
pennies
e)2¢ =
dimes +
pennies
f) 5¢ =
dimes +
pennies
3. Show how to regroup 10 pennies as 1 dime.
a)b)c)d)
Dimes
Pennies
Dimes
Pennies
Dimes
Pennies
Dimes
Pennies
2
12
5
13
7
17
4
18
3
2
after regrouping
4. Find the total number of dimes and pennies. Then regroup.
a)
+
c)
b)
d)
Dimes
Pennies
Dimes
Pennies
Dimes
Pennies
Dimes
Pennies
2
9
2
6
5
2
3
3
3
5
3
6
2
9
4
9
5
14
+
+
+
6
4
5. Add by regrouping 10 pennies as 1 dime.
a)
b)
3 7 ¢
+ 2 5 ¢
¢
c)
2 3 ¢
+ 4 9 ¢
¢
d)
2 6 ¢
+ 3 7 ¢
¢
e)
2 7 ¢
+ 6 7 ¢
¢
2 8 ¢
+ 4 8 ¢
¢
6. Add by lining up the dimes and pennies. Use grid paper.
a)15¢ + 17¢
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b) 23¢ + 27¢
c) 48¢ + 59¢
d) 26¢ + 34¢
e) 27¢ + 85¢
Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION
total after regrouping
DATE
NAME
Regrouping (Advanced) (1)
1. Regroup the ones. You will need to regroup the tens first.
a)
b) c)
9
6
10
14
7
0
4
8
0
3
5
0
6
You will need to regroup the hundreds first too.
d)
f)
e)
9
9
7
10
10
13
8
0
0
3
9
0
0
5
5
0
0
0
How to regroup the ones when the tens digit is 0:
2
4 3 0 0 0 5
4 3 0 0 0 5
2
9
9
9
2
4 3 0 0 0 5
9
9
9
15
4 3 0 0 0 5
Find the first non-zero Take 1 away.
0s become 9s
digit before the ones.
Add 10 to the digit that you regrouped for.
2. Regroup the ones.
a)
COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION
d)
b) c)
8
9
16
9
0
6
4
9
9
14
5
0
0
4
3
0
7
1
5
0
0
f)
e)
3
0
0
0
0
2
7
0
8
3. Check your regrouping in Question 2. Use grid paper to do parts d) to f).
a)
b)
1
8
+
9
0
0
9
0
1
6
0
0
0
c)
0
0
0
+
0
0
+
Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
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DATE
NAME
Regrouping (Advanced) (2)
You can regroup any place value.
Example 1: Regroup the ones. Example 2: Regroup the tens.
2
9
9
9 18
2
3 0 0 0 8
3 0 0 0 8
9
9 10
3 0 0 0 8
3 0 0 0 8
4. a) Regroup the tens.
i)
4
9
10
5
0
0
ii)
8
7
iii)
0
6
3
8
0
0
1
b) Check your regrouping in part a).
i)
iii)
ii)
1
4
0
0
0
9
0
0
1
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
8
+
0
+
+
8
5. Regroup the underlined place value.
b)
4
0
8
0
0
2
c)
4
0
8
0
0
2
e)
d)
9
0
0
5
0
2
4
0
8
0
0
2
9
0
0
5
0
2
8
0
6
0
4
3
f)
9
0
0
5
0
2
6. Regroup the thousands in each number.
a)
b)
3
C-90
4
0
0
3
2
c)
2
0
0
0
3
4
Blackline Master — Number and Operations in Base Ten — Teacher’s Guide for AP Book 4.1
COPYRIGHT © 2013 JUMP MATH: TO BE COPIED. CC EDITION
a)