4th grade
Unit 1
1. 39,821
What is the value of 8 in this number?
What is the value of 3 in this number?
What is the difference in values for those 2 digits?
2. 5 5 5, 5 5 3 Circle the 5 that has a value equal to 100 x 5
What is the difference between the 5 in the hundred thousands place and the 5 in the hundreds place?
3. Write the following number in standard form.
3,000,000 + 500,000 + 10,000 + 9,000 + 400 + 40 + 6 = ___________________________
4. Compare the following using <, >, =
10,000 + 2,000 + 400 + 80 + 9 ________twelve thousand four hundred nine
5. Sam was asked to round 750,263 to the nearest ten thousand. He answered 800,000. Is he correct? Why or why not?
6. Round 194,455 to the nearest ten thousand. ______________________
7. Round 548,899 to the nearest thousand. _________________________
8. Round each number below to the nearest hundred.
6,324 __________________ 569__________________
What is the sum of the rounded numbers?
9. Look at the following numbers: 5 8 7
What is the smallest number you can make with these numbers? ______________
What is the largest number you can make with these numbers? _______________
What is the difference in these two numbers?
10. Why do you have to have to regroup (borrow) in a subtraction problem?
11. On a bike ride, your family bikes 54 miles the first day, 73 miles the second day, and 38 miles on the third day. About how many miles did your family bike to the nearest ten?
Put the following numbers into expanded form:
12. 400,000+10,000+6,000+300+70+7=___________________________________________
13. 80,000+3,000+500+8=______________________________________________________
Put the following numbers into expanded form:
14. 865,321=
______________+______________+______________+_____________+_____________
15. 43,092=
______________+______________+______________+_____________
Solve.
16. 88,528 17. 352 18. 703 19. 54
+ 3,022 - 229 - 361 + 49
20. Put the following numbers in order from LEAST to GREATEST.
643 634 640 ________________, ___________________, _________________
21. Put the following numbers in order from GREATEST to LEAST.
888 878 887 ________________, ___________________, _________________
Compare using <, >, =
22. 979________997 23. 88__________88 24. 4,032_________4,302
Define:
Standard form + example
Expanded form + example
Word form + example
Digit
Place value
Value
Unit 2 Study Guide
MATH VOCABULARY
WRITE THE DEFINITION AND SHOW AN EXAMPLE
ZERO PROPERTY OF MULTIPLICATION –
IDENTITY PROPERTY OF MULTIPLICATION -
COMMUTATIVE PROPERTY OF MULTIPLICATION –
DISTRIBUTIVE PROPERTY OF MULTIPLICATION –
ASSOCIATIVE PROPERTY OF MULTIPLICATION –
Which example below shows the Identity Property?
3 x 2 = 6 2 x 3 = 6
5 (2 +1) = 15 5 x3=15
9 x 1 = 9 1 x 9 = 9
4 x 0 = 0 0 x 6 =0
8 x (2 x 4) = (8 x 2) x 4
Which example below shows the Commutative Property?
3 x 2 = 6 2 x 3 = 6
5 (2 +1) = 15 5 x 3 = 15
9 x 1 = 9 1 x 9 = 9
3 x 2 = 6 2 x 3 = 6
5 (2 +1) = 15 5 x 3 = 15
9 x 1 = 9 1 x 9 = 9
4 x 0 = 00 x 6 =0
8 x (2 x 4) = (8 x 2) x 4
9.Which example below shows the Associative Property?
3 x 2 = 6 2 x 3 = 6
5 (2 +1) = 15 5 x 3 = 15
9 x 1 = 91 x 9 = 9
4 x 0 = 00 x 6 =0
8 x (2 x 4) = (8 x 2) x 4
SOLVE. SHOW YOUR WORK AND CIRCLE YOUR ANSWER.
10, 8 ( 4 + 1 ) =
11. 6 x ( 3 + 1) =
12. 3 ( 7 + 2) =
13. 5 x ( 8 + 3) =
14. Construct a word problem using the following equation: 9 x 4 = 36
15. Part A. Rewrite the following problem as a multiplication problem:
54/6 = 9 _______________________________(/=division)
Part B: Use this example to explain the relationship between multiplication and division.
16. Billy works at a hardware store. He needs to ship 552 light bulbs. He can fit 7 light bulbs in one box.
Pat A: How many boxes will Billy have to order from the shipping company to ship all the light bulbs in 1 shipment?
Part B: Explain your answer:
17. Look at the following numbers. 2, 18, 31, 33, 85
Part A: Which numbers are prime? How do you know?
Part B: Which numbers are composite? How do you know?
18. Which of the numbers from question 17 are factors of 36?
19. On a flag there are 80 stars. There is an equal number of stars in each row. Which number does NOT represent a possible row of stars?
a. 2 c. 25
b. 10 d. 20
20. Determine the pattern used in the table below.
Starting Number Resulting Number
4 2
8 10
9 12
11 16
a. Subtract 4 from the starting number
b. Subtract 3 from the starting number, then multiply by 2
c. Add 2 to the starting number
d. Subtract 2 from the starting number, then multiply by 1.
21. Four symbols are repeated in the pattern. What will be the 50th symbol in the pattern? Explain how you determined your answer.
@ # $ ? @ # $ ?
22. Use two different methods to show how to find the product of 24 and 32.
Way 1:
Way 2:
23. Find each quotient below:
24 / 2 =______
24 / 4 = ______
24 / 6 = ______
24 / 8 = ______
Explain what is happening to the quotient and why.
Unit 1
1. 39,821
What is the value of 8 in this number?
What is the value of 3 in this number?
What is the difference in values for those 2 digits?
2. 5 5 5, 5 5 3 Circle the 5 that has a value equal to 100 x 5
What is the difference between the 5 in the hundred thousands place and the 5 in the hundreds place?
3. Write the following number in standard form.
3,000,000 + 500,000 + 10,000 + 9,000 + 400 + 40 + 6 = ___________________________
4. Compare the following using <, >, =
10,000 + 2,000 + 400 + 80 + 9 ________twelve thousand four hundred nine
5. Sam was asked to round 750,263 to the nearest ten thousand. He answered 800,000. Is he correct? Why or why not?
6. Round 194,455 to the nearest ten thousand. ______________________
7. Round 548,899 to the nearest thousand. _________________________
8. Round each number below to the nearest hundred.
6,324 __________________ 569__________________
What is the sum of the rounded numbers?
9. Look at the following numbers: 5 8 7
What is the smallest number you can make with these numbers? ______________
What is the largest number you can make with these numbers? _______________
What is the difference in these two numbers?
10. Why do you have to have to regroup (borrow) in a subtraction problem?
11. On a bike ride, your family bikes 54 miles the first day, 73 miles the second day, and 38 miles on the third day. About how many miles did your family bike to the nearest ten?
Put the following numbers into expanded form:
12. 400,000+10,000+6,000+300+70+7=___________________________________________
13. 80,000+3,000+500+8=______________________________________________________
Put the following numbers into expanded form:
14. 865,321=
______________+______________+______________+_____________+_____________
15. 43,092=
______________+______________+______________+_____________
Solve.
16. 88,528 17. 352 18. 703 19. 54
+ 3,022 - 229 - 361 + 49
20. Put the following numbers in order from LEAST to GREATEST.
643 634 640 ________________, ___________________, _________________
21. Put the following numbers in order from GREATEST to LEAST.
888 878 887 ________________, ___________________, _________________
Compare using <, >, =
22. 979________997 23. 88__________88 24. 4,032_________4,302
Define:
Standard form + example
Expanded form + example
Word form + example
Digit
Place value
Value
Unit 2 Study Guide
MATH VOCABULARY
WRITE THE DEFINITION AND SHOW AN EXAMPLE
ZERO PROPERTY OF MULTIPLICATION –
IDENTITY PROPERTY OF MULTIPLICATION -
COMMUTATIVE PROPERTY OF MULTIPLICATION –
DISTRIBUTIVE PROPERTY OF MULTIPLICATION –
ASSOCIATIVE PROPERTY OF MULTIPLICATION –
Which example below shows the Identity Property?
- 3 x 2 = 6 2 x 3 = 6
- 5 (2 +1) = 15 5 x 3 = 15
- 9 x 1 = 9 1 x 9 = 9
- 4 x 0 = 0 0 x 6 =0
- 8 x (2 x 4) = (8 x 2) x 4
3 x 2 = 6 2 x 3 = 6
5 (2 +1) = 15 5 x3=15
9 x 1 = 9 1 x 9 = 9
4 x 0 = 0 0 x 6 =0
8 x (2 x 4) = (8 x 2) x 4
Which example below shows the Commutative Property?
3 x 2 = 6 2 x 3 = 6
5 (2 +1) = 15 5 x 3 = 15
9 x 1 = 9 1 x 9 = 9
- 4 x 0 = 00 x 6 =0
- 8 x (2 x 4) = (8 x 2) x 4
3 x 2 = 6 2 x 3 = 6
5 (2 +1) = 15 5 x 3 = 15
9 x 1 = 9 1 x 9 = 9
4 x 0 = 00 x 6 =0
8 x (2 x 4) = (8 x 2) x 4
9.Which example below shows the Associative Property?
3 x 2 = 6 2 x 3 = 6
5 (2 +1) = 15 5 x 3 = 15
9 x 1 = 91 x 9 = 9
4 x 0 = 00 x 6 =0
8 x (2 x 4) = (8 x 2) x 4
SOLVE. SHOW YOUR WORK AND CIRCLE YOUR ANSWER.
10, 8 ( 4 + 1 ) =
11. 6 x ( 3 + 1) =
12. 3 ( 7 + 2) =
13. 5 x ( 8 + 3) =
14. Construct a word problem using the following equation: 9 x 4 = 36
15. Part A. Rewrite the following problem as a multiplication problem:
54/6 = 9 _______________________________(/=division)
Part B: Use this example to explain the relationship between multiplication and division.
16. Billy works at a hardware store. He needs to ship 552 light bulbs. He can fit 7 light bulbs in one box.
Pat A: How many boxes will Billy have to order from the shipping company to ship all the light bulbs in 1 shipment?
Part B: Explain your answer:
17. Look at the following numbers. 2, 18, 31, 33, 85
Part A: Which numbers are prime? How do you know?
Part B: Which numbers are composite? How do you know?
18. Which of the numbers from question 17 are factors of 36?
19. On a flag there are 80 stars. There is an equal number of stars in each row. Which number does NOT represent a possible row of stars?
a. 2 c. 25
b. 10 d. 20
20. Determine the pattern used in the table below.
Starting Number Resulting Number
4 2
8 10
9 12
11 16
a. Subtract 4 from the starting number
b. Subtract 3 from the starting number, then multiply by 2
c. Add 2 to the starting number
d. Subtract 2 from the starting number, then multiply by 1.
21. Four symbols are repeated in the pattern. What will be the 50th symbol in the pattern? Explain how you determined your answer.
@ # $ ? @ # $ ?
22. Use two different methods to show how to find the product of 24 and 32.
Way 1:
Way 2:
23. Find each quotient below:
24 / 2 =______
24 / 4 = ______
24 / 6 = ______
24 / 8 = ______
Explain what is happening to the quotient and why.