Students can use the Spectrum Math Grade 3 Answer Key Chapter 1 Lesson 1.5 Adding 2-Digit Numbers (with renaming) as a quick guide to resolve any of their doubts
Spectrum Math Grade 3 Chapter 1 Lesson 1.5 Adding 2-Digit Numbers (with renaming) Answers Key
Add.
Question 1.
a.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 8 which are in one’s place. Adding 3 and 8 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 1 along with the carry forwarded digit 1 will give sum as 4. So, 4 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 41.
b.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 5 which are in one’s place. Adding 6 and 5 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 7 and 1 along with the carry forwarded digit 1 will give sum as 9. So, 9 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 91.
c.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 7 which are in one’s place. Adding 3 and 7 gives the sum as 10 which can be renamed as 10 + 0. So, 0 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 1 and 7 along with the carry forwarded digit 1 will give sum as 9. So, 9 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 90.
d.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 6 which are in one’s place. Adding 6 and 6 gives the sum as 12 which can be renamed as 10 + 2. So, 2 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 3 and 1 along with the carry forwarded digit 1 will give sum as 5. So, 5 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 52.
e.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 9 and 2 which are in one’s place. Adding 9 and 2 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 1 and 6 along with the carry forwarded digit 1 will give sum as 8. So, 8 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 81.
f.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 9 and 9 which are in one’s place. Adding 9 and 9 gives the sum as 18 which can be renamed as 10 + 8. So, 8 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 1 along with the carry forwarded digit 1 will give sum as 4. So, 4 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 48.
Question 2.
a.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 7 and 6 which are in one’s place. Adding 7 and 6 gives the sum as 13 which can be renamed as 10 + 3. So, 3 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 3 along with the carry forwarded digit 1 will give sum as 6. So, 6 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 63.
b.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 2 and 9 which are in one’s place. Adding 2 and 9 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 5 and 3 along with the carry forwarded digit 1 will give sum as 9. So, 9 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 91.
c.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 8 which are in one’s place. Adding 6 and 8 gives the sum as 14 which can be renamed as 10 + 4. So, 4 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 3 and 2 along with the carry forwarded digit 1 will give sum as 6. So, 6 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 64.
d.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 0 and 0 which are in one’s place. Adding 0 and 0 gives the sum as 0. Next add digits in tens place which are 3 and 5 will give sum as 8. So, 8 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 80.
e.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 7 which are in one’s place. Adding 6 and 7 gives the sum as 13 which can be renamed as 10 + 3. So, 3 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 5 and 2 along with the carry forwarded digit 1 will give sum as 8. So, 8 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 83.
f.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 9 and 3 which are in one’s place. Adding 9 and 3 gives the sum as 12 which can be renamed as 10 + 2. So, 2 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 5 and 1 along with the carry forwarded digit 1 will give sum as 7. So, 7 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 72.
Question 3.
a.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 4 and 7 which are in one’s place. Adding 4 and 7 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 5 and 2 along with the carry forwarded digit 1 will give sum as 8. So, 8 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 81.
b.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 8 which are in one’s place. Adding 3 and 8 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 5 and 2 along with the carry forwarded digit 1 will give sum as 8. So, 8 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 81.
c.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 8 and 7 which are in one’s place. Adding 8 and 7 gives the sum as 15 which can be renamed as 10 + 5. So, 5 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 1 along with the carry forwarded digit 1 will give sum as 4. So, 4 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 45.
d.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 9 which are in one’s place. Adding 3 and 9 gives the sum as 12 which can be renamed as 10 + 2. So, 2 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 1 and 1 along with the carry forwarded digit 1 will give sum as 3. So, 3 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 32.
e.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 9 and 7 which are in one’s place. Adding 9 and 7 gives the sum as 16 which can be renamed as 10 + 6. So, 6 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 3 and 1 along with the carry forwarded digit 1 will give sum as 5. So, 5 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 56.
f.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 4 which are in one’s place. Adding 6 and 4 gives the sum as 10 which can be renamed as 10 + 0. So, 0 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 5 and 1 along with the carry forwarded digit 1 will give sum as 7. So, 7 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 70.
Question 4.
a.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 2 and 9 which are in one’s place. Adding 2 and 9 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 6 and 1 along with the carry forwarded digit 1 will give sum as 8. So, 8 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 81.
b.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 7 and 8 which are in one’s place. Adding 7 and 8 gives the sum as 15 which can be renamed as 10 + 5. So, 5 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 1 along with the carry forwarded digit 1 will give sum as 4. So, 4 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 45.
c.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 5 which are in one’s place. Adding 6 and 5 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 5 along with the carry forwarded digit 1 will give sum as 8. So, 8 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 81.
d.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 8 and 3 which are in one’s place. Adding 8 and 3 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 1 and 1 along with the carry forwarded digit 1 will give sum as 3. So, 3 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 31.
e.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 2 and 8 which are in one’s place. Adding 2 and 8 gives the sum as 10 which can be renamed as 10 + 0. So, 0 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 7 and 1 along with the carry forwarded digit 1 will give sum as 9. So, 9 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 90.
f.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 7 and 7 which are in one’s place. Adding 7 and 7 gives the sum as 14 which can be renamed as 10 + 4. So, 4 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 3 and 1 along with the carry forwarded digit 1 will give sum as 5. So, 5 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 54.
Question 5.
a.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 7 which are in one’s place. Adding 3 and 7 gives the sum as 10 which can be renamed as 10 + 0. So, 0 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 5 along with the carry forwarded digit 1 will give sum as 8. So, 8 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 80.
b.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 9 and 6 which are in one’s place. Adding 9 and 6 gives the sum as 15 which can be renamed as 10 + 5. So, 5 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 1 along with the carry forwarded digit 1 will give sum as 4. So, 4 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 45.
c.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 5 and 6 which are in one’s place. Adding 5 and 6 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 1 along with the carry forwarded digit 1 will give sum as 4. So, 4 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 41.
d.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 8 and 4 which are in one’s place. Adding 8 and 4 gives the sum as 12 which can be renamed as 10 + 2. So, 2 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 3 and 1 along with the carry forwarded digit 1 will give sum as 5. So, 5 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 52.
e.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 8 which are in one’s place. Adding 6 and 8 gives the sum as 14 which can be renamed as 10 + 4. So, 4 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 2 along with the carry forwarded digit 1 will give sum as 5. So, 5 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 54.
f.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 5 which are in one’s place. Adding 6 and 5 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 7 and 1 along with the carry forwarded digit 1 will give sum as 9. So, 9 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 91.
Question 6.
a.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 9 and 7 which are in one’s place. Adding 9 and 7 gives the sum as 16 which can be renamed as 10 + 6. So, 6 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 1 along with the carry forwarded digit 1 will give sum as 4. So, 4 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 46.
b.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 4 and 7 which are in one’s place. Adding 4 and 7 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 3 and 2 along with the carry forwarded digit 1 will give sum as 6. So, 6 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 61.
c.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 7 which are in one’s place. Adding 3 and 7 gives the sum as 10 which can be renamed as 10 + 0. So, 0 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 4 and 2 along with the carry forwarded digit 1 will give sum as 7. So, 7 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 70.
d.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 5 and 6 which are in one’s place. Adding 5 and 6 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 2 and 2 along with the carry forwarded digit 1 will give sum as 5. So, 5 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 51.
e.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 8 and 2 which are in one’s place. Adding 8 and 2 gives the sum as 10 which can be renamed as 10 + 0. So, 0 will be placed in the one’s digit in the answer and 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 4 and 1 along with the carry forwarded digit 1 will give sum as 6. So, 6 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 60.
f.
Answer:
Explanation:
First, we need to add the digits in one’s place. So, we need to add 5 and 6 which are in one’s place. Adding 5 and 6 gives the sum as 11 which can be renamed as 10 + 1. So, 1 will be placed in the one’s digit in the answer and another one will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 4 and 4 along with the carry forwarded digit 1 will give sum as 9. So, 9 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 91.