GLAT Grade 3 Math Number Concepts - The Student Shed - Free Printable
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Step-by-step solution for: GLAT Grade 3 Math Number Concepts - The Student Shed
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Step-by-step solution for: GLAT Grade 3 Math Number Concepts - The Student Shed
Let's solve the problems step by step.
---
#### 1. Write the number in standard form
The image shows:
- 2 large cubes (each representing 100)
- 3 small cubes (each representing 10)
- 4 single blocks (each representing 1)
So, the total is:
\[ 2 \times 100 + 3 \times 10 + 4 \times 1 = 200 + 30 + 4 = 234 \]
Answer:
1. Standard form: 234
#### 2. Word form
The number 234 in word form is:
Two hundred thirty-four
Answer:
2. Word form: Two hundred thirty-four
#### 3. Expanded form
The expanded form of 234 is:
\[ 200 + 30 + 4 \]
Answer:
3. Expanded form: 200 + 30 + 4
---
#### 4. Write the value of the underlined digit
- (4) 156: The underlined digit is 5, which is in the tens place. Its value is \( 5 \times 10 = 50 \).
- (5) 984: The underlined digit is 9, which is in the hundreds place. Its value is \( 9 \times 100 = 900 \).
- (6) 763: The underlined digit is 3, which is in the ones place. Its value is \( 3 \times 1 = 3 \).
- (7) 1621: The underlined digit is 1, which is in the thousands place. Its value is \( 1 \times 1000 = 1000 \).
Answers:
4. 50
5. 900
6. 3
7. 1000
---
#### 8. Write the place value for the following
- (8) 642: The underlined digit is 4, which is in the tens place.
- (9) 833: The underlined digit is 8, which is in the hundreds place.
Answers:
8. Tens
9. Hundreds
---
#### 10. Compare using <, >, or =
- 10. 3,176 ○ 3,179: Both numbers have the same digits up to the tens place, but 3,176 has a 6 in the ones place, while 3,179 has a 9. Therefore, 3,176 < 3,179.
- 11. 157 ○ 480: 157 is less than 480. Therefore, 157 < 480.
Answers:
10. <
11. <
---
#### 12. Circle the name for the shape
The shape shown is a rectangular prism.
Answer:
Circle: rectangular prism
---
#### 13. Group the addends
\[ (3 + 0) + 4 = 3 + 4 = 7 \]
Answer:
13. 7
---
#### 14. Complete the fact family
The numbers given are 14, 10, and 24. The fact family includes addition and subtraction sentences:
- \( 10 + 14 = 24 \)
- \( 14 + 10 = 24 \)
- \( 24 - 10 = 14 \)
- \( 24 - 14 = 10 \)
Answer:
14.
- \( 10 + 14 = 24 \)
- \( 14 + 10 = 24 \)
- \( 24 - 10 = 14 \)
- \( 24 - 14 = 10 \)
---
#### 15. Write the even numbers on the line
The sequence is 14, 16, __, __. The next two even numbers are 18 and 20.
Answer:
15. 18, 20
---
#### 16. Write the missing addend
\[ 71 + \_\_\_ = 89 \]
To find the missing addend, subtract 71 from 89:
\[ 89 - 71 = 18 \]
Answer:
16. 18
---
#### 17. Write the missing addend
\[ 68 - \_\_\_ = 39 \]
To find the missing subtrahend, subtract 39 from 68:
\[ 68 - 39 = 29 \]
Answer:
17. 29
---
#### 18. Write 485, 458, 955 in order from the smallest to the greatest
Arrange the numbers in ascending order:
- 458
- 485
- 955
Answer:
18. 458, 485, 955
---
#### 19. Complete the following
- \( 6 \times 10 = 60 \)
- \( 5 \times 9 = 45 \)
- \( 5 \times 11 = 55 \)
- \( 3 \times 8 = 24 \)
Answers:
19. 60
20. 45
21. 55
22. 24
---
#### 23. Skip-count by 5's
The sequence is 39, 44, 49, __, __. Add 5 to each number:
- \( 49 + 5 = 54 \)
- \( 54 + 5 = 59 \)
Answer:
23. 54, 59
---
#### 24. Draw the next two shapes
The pattern alternates between a square and a triangle:
- Square
- Triangle
- Square
- Triangle
The next two shapes are:
- Square
- Triangle
Answer:
24. Square, Triangle
---
#### 25. Add the amount
The image shows:
- 2 quarters (\$0.25 each): \( 2 \times 0.25 = 0.50 \)
- 1 dime (\$0.10): \( 0.10 \)
- 2 nickels (\$0.05 each): \( 2 \times 0.05 = 0.10 \)
Total:
\[ 0.50 + 0.10 + 0.10 = 0.70 \]
Answer:
25. \$0.70
---
#### 26. Round to the nearest ten
- 26. 81: The digit in the ones place is 1, which is less than 5. So, round down to 80.
- 27. 79: The digit in the ones place is 9, which is 5 or greater. So, round up to 80.
- 28. 43: The digit in the ones place is 3, which is less than 5. So, round down to 40.
- 29. 77: The digit in the ones place is 7, which is 5 or greater. So, round up to 80.
Answers:
26. 80
27. 80
28. 40
29. 80
---
#### 30. Round to the nearest hundred
- 30. 279: The digit in the tens place is 7, which is 5 or greater. So, round up to 300.
- 31. 463: The digit in the tens place is 6, which is 5 or greater. So, round up to 500.
- 32. 467: The digit in the tens place is 6, which is 5 or greater. So, round up to 500.
- 34. 528: The digit in the tens place is 2, which is less than 5. So, round down to 500.
Answers:
30. 300
31. 500
32. 500
34. 500
---
\[
\boxed{
\begin{array}{l}
1. 234 \\
2. \text{Two hundred thirty-four} \\
3. 200 + 30 + 4 \\
4. 50 \\
5. 900 \\
6. 3 \\
7. 1000 \\
8. \text{Tens} \\
9. \text{Hundreds} \\
10. < \\
11. < \\
12. \text{Rectangular prism} \\
13. 7 \\
14. 10 + 14 = 24, 14 + 10 = 24, 24 - 10 = 14, 24 - 14 = 10 \\
15. 18, 20 \\
16. 18 \\
17. 29 \\
18. 458, 485, 955 \\
19. 60 \\
20. 45 \\
21. 55 \\
22. 24 \\
23. 54, 59 \\
24. \text{Square, Triangle} \\
25. \$0.70 \\
26. 80 \\
27. 80 \\
28. 40 \\
29. 80 \\
30. 300 \\
31. 500 \\
32. 500 \\
34. 500 \\
\end{array}
}
\]
---
Quiz 3
#### 1. Write the number in standard form
The image shows:
- 2 large cubes (each representing 100)
- 3 small cubes (each representing 10)
- 4 single blocks (each representing 1)
So, the total is:
\[ 2 \times 100 + 3 \times 10 + 4 \times 1 = 200 + 30 + 4 = 234 \]
Answer:
1. Standard form: 234
#### 2. Word form
The number 234 in word form is:
Two hundred thirty-four
Answer:
2. Word form: Two hundred thirty-four
#### 3. Expanded form
The expanded form of 234 is:
\[ 200 + 30 + 4 \]
Answer:
3. Expanded form: 200 + 30 + 4
---
#### 4. Write the value of the underlined digit
- (4) 156: The underlined digit is 5, which is in the tens place. Its value is \( 5 \times 10 = 50 \).
- (5) 984: The underlined digit is 9, which is in the hundreds place. Its value is \( 9 \times 100 = 900 \).
- (6) 763: The underlined digit is 3, which is in the ones place. Its value is \( 3 \times 1 = 3 \).
- (7) 1621: The underlined digit is 1, which is in the thousands place. Its value is \( 1 \times 1000 = 1000 \).
Answers:
4. 50
5. 900
6. 3
7. 1000
---
#### 8. Write the place value for the following
- (8) 642: The underlined digit is 4, which is in the tens place.
- (9) 833: The underlined digit is 8, which is in the hundreds place.
Answers:
8. Tens
9. Hundreds
---
#### 10. Compare using <, >, or =
- 10. 3,176 ○ 3,179: Both numbers have the same digits up to the tens place, but 3,176 has a 6 in the ones place, while 3,179 has a 9. Therefore, 3,176 < 3,179.
- 11. 157 ○ 480: 157 is less than 480. Therefore, 157 < 480.
Answers:
10. <
11. <
---
#### 12. Circle the name for the shape
The shape shown is a rectangular prism.
Answer:
Circle: rectangular prism
---
#### 13. Group the addends
\[ (3 + 0) + 4 = 3 + 4 = 7 \]
Answer:
13. 7
---
#### 14. Complete the fact family
The numbers given are 14, 10, and 24. The fact family includes addition and subtraction sentences:
- \( 10 + 14 = 24 \)
- \( 14 + 10 = 24 \)
- \( 24 - 10 = 14 \)
- \( 24 - 14 = 10 \)
Answer:
14.
- \( 10 + 14 = 24 \)
- \( 14 + 10 = 24 \)
- \( 24 - 10 = 14 \)
- \( 24 - 14 = 10 \)
---
#### 15. Write the even numbers on the line
The sequence is 14, 16, __, __. The next two even numbers are 18 and 20.
Answer:
15. 18, 20
---
#### 16. Write the missing addend
\[ 71 + \_\_\_ = 89 \]
To find the missing addend, subtract 71 from 89:
\[ 89 - 71 = 18 \]
Answer:
16. 18
---
#### 17. Write the missing addend
\[ 68 - \_\_\_ = 39 \]
To find the missing subtrahend, subtract 39 from 68:
\[ 68 - 39 = 29 \]
Answer:
17. 29
---
#### 18. Write 485, 458, 955 in order from the smallest to the greatest
Arrange the numbers in ascending order:
- 458
- 485
- 955
Answer:
18. 458, 485, 955
---
#### 19. Complete the following
- \( 6 \times 10 = 60 \)
- \( 5 \times 9 = 45 \)
- \( 5 \times 11 = 55 \)
- \( 3 \times 8 = 24 \)
Answers:
19. 60
20. 45
21. 55
22. 24
---
#### 23. Skip-count by 5's
The sequence is 39, 44, 49, __, __. Add 5 to each number:
- \( 49 + 5 = 54 \)
- \( 54 + 5 = 59 \)
Answer:
23. 54, 59
---
#### 24. Draw the next two shapes
The pattern alternates between a square and a triangle:
- Square
- Triangle
- Square
- Triangle
The next two shapes are:
- Square
- Triangle
Answer:
24. Square, Triangle
---
#### 25. Add the amount
The image shows:
- 2 quarters (\$0.25 each): \( 2 \times 0.25 = 0.50 \)
- 1 dime (\$0.10): \( 0.10 \)
- 2 nickels (\$0.05 each): \( 2 \times 0.05 = 0.10 \)
Total:
\[ 0.50 + 0.10 + 0.10 = 0.70 \]
Answer:
25. \$0.70
---
#### 26. Round to the nearest ten
- 26. 81: The digit in the ones place is 1, which is less than 5. So, round down to 80.
- 27. 79: The digit in the ones place is 9, which is 5 or greater. So, round up to 80.
- 28. 43: The digit in the ones place is 3, which is less than 5. So, round down to 40.
- 29. 77: The digit in the ones place is 7, which is 5 or greater. So, round up to 80.
Answers:
26. 80
27. 80
28. 40
29. 80
---
#### 30. Round to the nearest hundred
- 30. 279: The digit in the tens place is 7, which is 5 or greater. So, round up to 300.
- 31. 463: The digit in the tens place is 6, which is 5 or greater. So, round up to 500.
- 32. 467: The digit in the tens place is 6, which is 5 or greater. So, round up to 500.
- 34. 528: The digit in the tens place is 2, which is less than 5. So, round down to 500.
Answers:
30. 300
31. 500
32. 500
34. 500
---
Final Answer
\[
\boxed{
\begin{array}{l}
1. 234 \\
2. \text{Two hundred thirty-four} \\
3. 200 + 30 + 4 \\
4. 50 \\
5. 900 \\
6. 3 \\
7. 1000 \\
8. \text{Tens} \\
9. \text{Hundreds} \\
10. < \\
11. < \\
12. \text{Rectangular prism} \\
13. 7 \\
14. 10 + 14 = 24, 14 + 10 = 24, 24 - 10 = 14, 24 - 14 = 10 \\
15. 18, 20 \\
16. 18 \\
17. 29 \\
18. 458, 485, 955 \\
19. 60 \\
20. 45 \\
21. 55 \\
22. 24 \\
23. 54, 59 \\
24. \text{Square, Triangle} \\
25. \$0.70 \\
26. 80 \\
27. 80 \\
28. 40 \\
29. 80 \\
30. 300 \\
31. 500 \\
32. 500 \\
34. 500 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of number 3 math.
