Students can use the Spectrum Math Grade 3 Answer Key Chapter 1 Pretest as a quick guide to resolve any of their doubts.

Question 1.
a.

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 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 42.

b.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 7 and 5 which are in one’s place. Adding 7 and 5 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 0 along with the carry forwarded digit 1 will give sum as 2. So, 2 should be written in ten’s place in the answer. Finally, the sum of given two numbers is 22.

c.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 7 and 2 which are in one’s place. Adding 7 and 2 gives the sum as 9. So, 9 will be placed in the one’s digit in the answer. Next, we need to add the digits in ten’s place. Adding 3 and 4 gives the sum 7. So, 7 should be written in ten’s place in the answer. So, the sum of given two numbers is 79.

d.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 1 and 5 which are in one’s place. Adding 1 and 5 gives the sum as 6. So, 6 will be placed in the one’s digit in the answer. Next, we need to add the digits in ten’s place. Adding 1 and 7 gives the sum 8. So, 8 should be written in ten’s place in the answer. So, the sum of given two numbers is 86.

e.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 1 and 9 which are in one’s place. Adding 1 and 9 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 8 and 0 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.

Question 2.
a.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 6 and 3 which are in one’s place. Adding 6 and 3 gives the sum as 9. So, 9 will be placed in the one’s digit in the answer. Next, we need to add the digits in ten’s place. Adding 1 and 0 gives the sum 1. So, 1 should be written in ten’s place in the answer. So, the sum of given two numbers is 19.

b.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 1 which are in one’s place. Adding 3 and 1 gives the sum as 4. So, 4 will be placed in the one’s digit in the answer. Next, we need to add the digits in ten’s place. Adding 8 and 1 gives the sum 9. So, 9 should be written in ten’s place in the answer. So, the sum of given two numbers is 94.

c.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 4 which are in one’s place. Adding 3 and 4 gives the sum as 7. So, 7 will be placed in the one’s digit in the answer. Next, we need to add the digits in ten’s place. Adding 4 and 1 gives the sum 5. So, 5 should be written in ten’s place in the answer. So, the sum of given two numbers is 57.

d.

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 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 81.

e.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 4 and 6 which are in one’s place. Adding 4 and 6 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 6 and 0 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 3.
a.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 0 and 3 which are in one’s place. Adding 0 and 3 gives the sum as 3. So, 3 will be placed in the one’s digit in the answer. Next, we need to add the digits in ten’s place. Adding 3 and 2 gives the sum 5. So, 5 should be written in ten’s place in the answer. So, the sum of given two numbers is 53.

b.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 7 and 5 which are in one’s place. Adding 7 and 5 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 0 and 2 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.

c.

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 0 and 3 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.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 8 and 5 which are in one’s place. Adding 8 and 5 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 1 and 2 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 43.

e.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 2 which are in one’s place. Adding 3 and 2 gives the sum as 5. So, 5 will be placed in the one’s digit in the answer. Next, we need to add the digits in ten’s place. Adding 9 and 0 gives the sum 9. So, 9 should be written in ten’s place in the answer. So, the sum of given two numbers is 95.

Question 4.
a.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 3 and 6 which are in one’s place. Adding 3 and 6 gives the sum as 9. So, 9 will be placed in the one’s digit in the answer. Next, we need to add the digits in ten’s place. Adding 1 and 8 gives the sum 9. So, 9 should be written in ten’s place in the answer. So, the sum of given two numbers is 99.

b.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 5, 3 and 6 which are in one’s place. Adding 5, 3 and 6 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 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 three numbers is 94.

c.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 3, 3 and 7 which are in one’s place. Adding 3, 3 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 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 3 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 three numbers is 53.

d.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 0, 1 and 2 which are in one’s place. Adding 0,1 and 2 gives the sum as 3. So, 3 will be placed in the one’s digit in the answer. So, adding digits in tens place which are 4 and 5 will give sum as 9. So, 9 should be written in ten’s place in the answer. Finally, the sum of given three numbers is 93.

e.

Explanation:
First, we need to add the digits in one’s place. So, we need to add 5, 7 and 6 which are in one’s place. Adding 5, 7 and 6 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 1 will be carry forwarded to get added with the numbers in ten’s place. So, adding digits in tens place which are 1, 2 and 4 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 three numbers is 88.

Subtract.

Question 5.
a.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 0 from 0 where difference is equal to 0. So, 0 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 1 from 9 which is 8. After subtracting the given two numbers the difference is equal to 80.

b.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 6 at one’s place in minuend, we can rename 16 as 0 tens and 16 ones. Now, subtract 9 from 16 where difference is equal to 7. So, 7 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 0 tens. So, subtract 0 from 0 which is 0. So, the total difference is equal to 7.

c.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 23 as 1 ten and 13 ones. Now, subtract 8 from 13 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 1 ten. So, subtract 1 from 1 which is 0. So, the total difference is equal to 5.

d.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 7 from 7 where difference is equal to 0. So, 0 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 0 from 2 which is 2. After subtracting the given two numbers the difference is equal to 20.

e.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 1 from 9 where difference is equal to 8. So, 8 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 1 from 1 which is 0. After subtracting the given two numbers the difference is equal to 8.

Question 6.
a.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 6 from 7 where difference is equal to 1. So, 1 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 1 from 5 which is 4. After subtracting the given two numbers the difference is equal to 41.

b.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 3 from 4 where difference is equal to 1. So, 1 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 2 from 8 which is 6. After subtracting the given two numbers the difference is equal to 61.

c.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 1 from 6 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 1 from 1 which is 0. After subtracting the given two numbers the difference is equal to 5.

d.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 5 from 5 where difference is equal to 0. So, 0 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 0 from 2 which is 2. After subtracting the given two numbers the difference is equal to 20.

e.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 62 as 5 tens and 12 ones. Now, subtract 9 from 12 where difference is equal to 3. So, 3 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 5 tens. So, subtract 1 from 5 which is 4. So, the total difference is equal to 43.

Question 7.
a.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 7 at one’s place in minuend, we can rename 97 as 8 tens and 17 ones. Now, subtract 8 from 17 where difference is equal to 9. So, 9 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 8 tens. So, subtract 5 from 8 which is 3. So, the total difference is equal to 39.

b.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 3 from 6 where difference is equal to 3. So, 3 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 2 from 4 which is 2. After subtracting the given two numbers the difference is equal to 23.

c.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 1 at one’s place in minuend, we can rename 81 as 7 tens and 11 ones. Now, subtract 7 from 11 where difference is equal to 4. So, 4 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 7 tens. So, subtract 2 from 7 which is 5. So, the total difference is equal to 54.

d.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 3 from 8 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 1 from 4 which is 3. After subtracting the given two numbers the difference is equal to 35.

e.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 4 at one’s place in minuend, we can rename 74 as 6 tens and 14 ones. Now, subtract 9 from 14 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 6 tens. So, subtract 0 from 6 which is 6. So, the total difference is equal to 65.

Question 8.
a.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 2 at one’s place in minuend, we can rename 32 as 2 tens and 12 ones. Now, subtract 4 from 12 where difference is equal to 8. So, 8 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 2 tens. So, subtract 2 from 2 which is 0. So, the total difference is equal to 8.

b.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 2 from 3 where difference is equal to 1. So, 1 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 1 from 7 which is 6. After subtracting the given two numbers the difference is equal to 61.

c.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 0 from 5 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 3 from 6 which is 3. After subtracting the given two numbers the difference is equal to 35.

d.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. Now, subtract 0 from 0 where difference is equal to 0. So, 0 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have to subtract 2 from 7 which is 5. After subtracting the given two numbers the difference is equal to 50.

e.

Explanation:
While doing subtraction, first we should subtract digits in one’s place and should move to the left i.e., to the ten’s place and so on. In one’s place, if we cannot subtract the subtrahend from minuend, then we should rename minuend as tens and ones. As we have 3 at one’s place in minuend, we can rename 23 as 1 ten and 13 ones. Now, subtract 8 from 13 where difference is equal to 5. So, 5 should be written in one’s digit in the answer. Now, moving to the left that is ten’s place, we have 1 ten. So, subtract 0 from 1 which is 1. So, the total difference is equal to 15.

Solve each problem.

Question 9.
The florist has 63 roses and carnations. If she has 27 roses, how many carnations does she have?
The florist has _________ roses and carnations.
She has _________ roses.
The florist has _________ carnations.
The florist has 63 roses and carnations.
She has 27 roses.
The florist has 36 carnations.
Explanation:
Subtract 27 from 63 the difference is equal to 36. The florist has 36 carnations.

Question 10.
Bly has 43 pennies, 13 dimes, and 16 nickels. How many coins does she have in all?
Bly has ____ pennies.
She has _________ dimes.
She has _________ nickels.
Bly has _________ coins in all.
Bly has 43 pennies.
She has 13 dimes.
She has 16 nickels.
Bly has 72 coins in all.
Explanation:
Add 43 with 13 and 16 the sum is equal to 72. Bly has 72 coins in all.

Question 11.
There are 36 students in Cleveland’s class this year. If 22 are girls, how many boys are in Cleveland’s class?
There are _________ students in Cleveland’s class.
There are girls in his class.
There are boys in his class.