This handy **Spectrum Math Grade 4 Answer Key Chapter 1 Posttest** provides detailed answers for the workbook questions.

## Spectrum Math Grade 4 Chapter 1 Posttest Answers Key

**Check What You Learned**

**Adding and Subtracting 1 and 2 Digits**

**Add or Subtract.**

Question 1.

a.

Answer:

Explanation:

Ones Place Value

3 + 7 = 10

Put the 0 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 4 + 2 = 7

Put the 7 in Tens place

b.

Answer:

Explanation:

Ones Place Value

7 + 1 = 8

Tens Place Value

5 + 2 = 7

Put the 7 in Tens place

c.

Answer:

Explanation:

Ones Place Value

7 + 5 = 12

Put the 2 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 3 + 1 = 5

Put the 5 in Tens place

d.

Answer:

Explanation:

Ones Place Value

3 + 8 = 11

Put the 1 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 7 + 2 = 10

Put the 0 in Tens place

Carry the 1 to Hundreds place

e.

Answer:

Explanation:

Ones Place Value

6 + 3 = 9

Put the 9 in Ones place

Tens Place Value

5 + 4 = 9

Put the 9 in Tens place

Hundreds Place Value

2 = 2

Put the 2 in Hundreds place

f.

Answer:

Explanation:

Ones Place Value

5 + 5 = 10

Put the 0 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 7 + 2 = 10

Put the 0 in Tens place

Carry the 1 to Hundreds place

Hundreds Place Value

1 = 1

Put the 1 in Hundreds place

Question 2.

a.

Answer:

Explanation:

Ones Place Value

3 + 0 + 8 = 11

Put the 1 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 1 + 1 = 3

Put the 3 in Tens place

b.

Answer:

Explanation:

Ones Place Value

7 + 5 + 3 = 15

Put the 5 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 2 + 2 = 5

Put the 5 in Tens place

c.

Answer:

Explanation:

Ones Place Value

8 + 8 = 16

Put the 6 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 3 + 6 = 10

Put the 0 in Tens place

Carry the 1 to Hundreds place

Hundreds Place Value

1 + 2 = 3

Put the 3 in Hundreds place

d.

Answer:

Explanation:

Ones Place Value

1 + 2 + 3 = 6

Put the 6 in Ones place

Tens Place Value

9 + 8 + 7 = 24

Put the 4 in Tens place

Carry the 2 to Hundreds place

Hundreds Place Value

2 = 2

Put the 2 in Hundreds place

e.

Answer:

Explanation:

Ones Place Value

5 + 2 + 4 = 11

Put the 1 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 0 + 9 + 1 = 11

Put the 1 in Tens place

Carry the 1 to Hundreds place

Hundreds Place Value

1 + 1 = 2

Put the 2 in Hundreds place

f.

Answer:

Explanation:

Ones Place Value

6 + 8 = 14

Put the 4 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 5 + 4 = 10

Put the 0 in Tens place

Carry the 1 to Hundreds place

Question 3.

a.

Answer:

Explanation:

Ones Place Value

1 + 3 = 4

Put the 4 in Ones place

Tens Place Value

2 + 1 = 3

Put the 3 in Tens place

b.

Answer:

Explanation:

Ones Place Value

3 + 2 = 5

Put the 5 in Ones place

Tens Place Value

5 + 4 = 9

Put the 9 in Tens place

Hundreds Place Value

2 = 2

Put the 2 in Hundreds place

c.

Answer:

Explanation:

Ones Place Value

7 + 8 = 15

Put the 5 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 3 + 2 = 6

Put the 6 in Tens place

Hundreds Place Value

1 = 1

Put the 1 in Hundreds place

d.

Answer:

Explanation:

Ones Place Value

9 + 7 = 16

Put the 6 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 7 + 9 = 17

Put the 7 in Tens place

Carry the 1 to Hundreds place

e.

Answer:

Explanation:

Ones Place Value

3 + 8 = 11

Put the 1 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 0 + 1 = 2

Put the 2 in Tens place

Hundreds Place Value

1 = 1

Put the 1 in Hundreds place

f.

Answer:

Explanation:

Ones Place Value

5 + 7 = 12

Put the 2 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 6 + 1 = 8

Put the 8 in Tens place

Question 4.

a.

Answer:

Explanation:

Ones Place Value

3 + 1 + 0 = 4

Put the 4 in Ones place

Tens Place Value

7 + 2 + 1 = 10

Put the 0 in Tens place

Carry the 1 to Hundreds place

Hundreds Place Value

1 = 1

Put the 1 in Hundreds place

b.

Answer:

Explanation:

Ones Place Value

2 + 8 = 10

Put the 0 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 3 + 4 = 8

Put the 8 in Tens place

Hundreds Place Value

4 = 4

Put the 4 in Hundreds place

c.

Answer:

Explanation:

Ones Place Value

4 + 8 + 2 = 14

Put the 4 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 1 + 1 + 3 = 6

Put the 6 in Tens place

d.

Answer:

Explanation:

Ones Place Value

6 + 4 = 10

Put the 0 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 6 + 3 = 10

Put the 0 in Tens place

Carry the 1 to Hundreds place

Hundreds Place Value

1 = 1

Put the 1 in Hundreds place

e.

Answer:

Explanation:

Ones Place Value

4 + 5 + 7 = 16

Put the 6 in Ones place

Carry the 1 to Tens place

Tens Place Value

1 + 3 + 4 + 5 = 13

Put the 3 in Tens place

Carry the 1 to Hundreds place

Hundreds Place Value

1 = 1

Put the 1 in Hundreds place

f.

Answer:

Explanation:

Ones Place Value

3 + 4 = 7

Put the 7 in Ones place

Tens Place Value

1 + 7 = 8

Put the 8 in Tens place

Question 5.

a.

Answer:

Explanation:

Subtract the ones we get 5 – 2 = 3

Subtract the tens we get 4 – 3 = 1

Subtract the hundreds we get 2 – 0 = 2

So, the difference of 245 and 32 is 213

245– 32= 213

b.

Answer:

Explanation:

6 is greater than 5 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 0, so 0 becomes 10.

Take 1 from 10, so 10 becomes 9.

Add 10 to 5, so 5 becomes 15.

15 minus 6 is 9

9 minus 1 is 8

0 minus 0 is 0

c.

Answer:

Explanation:

Subtract the ones we get 5 – 2 = 3

Subtract the tens we get 3 – 1 = 2

So, the difference of 35 and 12is 23

35 – 12 = 23

d.

Answer:

Explanation:

8 is greater than 2 so you must regroup:

Take 1 from 7, so 7 becomes 6.

Add 10 to 2, so 2 becomes 12.

12 minus 8 is 4

6 minus 2 is 4

e.

Answer:

Explanation:

3 is greater than 1 so you must regroup:

Take 1 from 9, so 9 becomes 8.

Add 10 to 1, so 1 becomes 11.

11 minus 3 is 8

8 minus 7 is 1

f.

Answer:

Explanation:

7 is greater than 5 so you must regroup:

Take 1 from 3, so 3 becomes 2.

Add 10 to 5, so 5 becomes 15.

15 minus 7 is 8

2 minus 0 is 2

Question 6.

a.

Answer:

Explanation:

7 minus 4 is 3

3 is greater than 0 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 0, so 0 becomes 10.

10 minus 3 is 7

0 minus 0 is 0

b.

Answer:

Explanation:

5 is greater than 4 so you must regroup:

Take 1 from 9, so 9 becomes 8.

Add 10 to 4, so 4 becomes 14.

14 minus 5 is 9

8 minus 2 is 6

c.

Answer:

Explanation:

6 is greater than 5 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 5, so 5 becomes 15.

15 minus 6 is 9

2 is greater than 0 so you must regroup:

Take 1 from 2, so 2 becomes 1.

Add 10 to 0, so 0 becomes 10.

10 minus 2 is 8

1 minus 0 is 1

d.

Answer:

Explanation:

9 is greater than 8 so you must regroup:

Take 1 from 8, so 8 becomes 7.

Add 10 to 8, so 8 becomes 18.

18 minus 9 is 9

7 minus 4 is 3

e.

Answer:

Explanation:

8 is greater than 3 so you must regroup:

Take 1 from 7, so 7 becomes 6.

Add 10 to 3, so 3 becomes 13.

13 minus 8 is 5

6 minus 2 is 4

1 minus 0 is 1

f.

Answer:

Explanation:

Subtract the ones we get 2 – 1 = 1

Subtract the tens we get 7 – 6 = 1

So, the difference of 72 and 61 is 11

72 – 61 = 11

Question 7.

a.

Answer:

Explanation:

6 is greater than 5 so you must regroup:

Take 1 from 3, so 3 becomes 2.

Add 10 to 5, so 5 becomes 15.

15 minus 6 is 9

2 minus 1 is 1

b.

Answer:

Explanation:

9 is greater than 8 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 0, so 0 becomes 10.

Take 1 from 10, so 10 becomes 9.

Add 10 to 8, so 8 becomes 18

18 minus 9 is 9

9 minus 1 is 8

0 minus 0 is 0

c.

Answer:

Explanation:

2 is greater than 1 so you must regroup:

Take 1 from 5, so 5 becomes 4.

Add 10 to 1, so 1 becomes 11.

11 minus 2 is 9

4 minus 3 is 1

d.

Answer:

Explanation:

Subtract the ones we get 5 – 5 = 0

Subtract the tens we get 2 – 1 = 1

Subtract the hundreds we get 1 – 0 = 1

So, the difference of 125 and 15 is 110

125 – 15 = 110

e.

Answer:

Explanation:

Subtract the ones we get 9 – 4 = 5

Subtract the tens we get 9 – 8 = 1

Subtract the hundreds we get 1 – 0 = 1

So, the difference of 199 and 84 is 115

199 – 84 = 115

f.

Answer:

Explanation:

6 is greater than 4 so you must regroup:

Take 1 from 8, so 8 becomes 7.

Add 10 to 4, so 4 becomes 14.

14 minus 6 is 8

7 minus 2 is 5

Question 8.

a.

Answer:

Explanation:

8 is greater than 7 so you must regroup:

Take 1 from 4, so 4 becomes 3.

Add 10 to 7, so 7 becomes 17.

17 minus 8 is 9

4 is greater than 3 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 3, so 3 becomes 13.

13 minus 4 is 9

0 minus 0 is 0

b.

Answer:

Explanation:

Subtract the ones we get 2 – 2 = 0

Subtract the tens we get 6 – 2 = 4

So, the difference of 62 and 22 is 40

62 – 22 = 40

c.

Answer:

Explanation:

Subtract the ones we get 7 – 2 = 5

Subtract the tens we get 5 – 3 = 2

So, the difference of 57 and 32 is 25

57 – 32 = 25

d.

Answer:

Explanation:

2 is greater than 1 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 1, so 1 becomes 11.

11 minus 2 is 9

1 is greater than 0 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 0, so 0 becomes 10

10 minus 1 is 9

0 minus 0 is 0

e.

Answer:

Explanation:

8 is greater than 3 so you must regroup:

Take 1 from 2, so 2 becomes 1.

Add 10 to 3, so 3 becomes 13.

13 minus 8 is 5

4 is greater than 1 so you must regroup:

Take 1 from 1, so 1 becomes 0.

Add 10 to 1, so 1 becomes 11.

11 minus 4 is 7

0 minus 0 is 0

f.

Answer:

Explanation:

9 is greater than 2 so you must regroup:

Take 1 from 9, so 9 becomes 8.

Add 10 to 2, so 2 becomes 12.

12 minus 9 is 3

8 minus 2 is 6

**Solve each problem.**

Question 9.

Tonya and her friends are collecting cans to recycle. Tonya has 55 cans, Irene has 32 cans, and Heather has 13 cans. How many cans do they have altogether?

They have __________ cans.

Answer:

100

Explanation:

Tonya has 55 cans

Irene has 32 cans

and Heather has 13 cans

They have 100 cans.

55 + 32 + 13 = 100

They have altogether 100 cans.

Question 10.

The football team is raising money by running a car wash. They need to wash 210 cars to raise enough money. They have washed 98 cars already. How many more cars do they need to wash?

They need to wash __________ more cars.

Answer:

112

Explanation:

The football team is raising money by running a car wash.

They need to wash 210 cars to raise enough money.

They have washed 98 cars already.

They need to wash 112 more cars.

210 – 98 = 112

Question 11.

Ms. Brooks’s science class is studying the environment around the school. Students counted 57 different plants and 25 different animals.

How many plants and animals did the class find altogether?

The class found ____ plants and animals.

Answer:

82

Explanation:

Ms. Brooks’s science class is studying the environment around the school.

Students counted 57 different plants and 25 different animals.

Total number of plants and animals they found altogether are 82

The class found 82 plants and animals.

57 + 25 = 82

Question 12.

On a field trip, two sisters found frog eggs in a pond. Dee found 82 eggs and Shay found 118 eggs. How many frog eggs did they find?

They found ____ frog eggs.

Answer:

200

Explanation:

On a field trip, two sisters found frog eggs in a pond.

Dee found 82 eggs and Shay found 118 eggs.

They found 200 frog eggs

82 + 118 = 200

Question 13.

At the bake sale, students brought in 115 cupcakes, 95 brownies, and 85 cookies. How many baked goods did the students bring in?

They brought in _________ baked goods.

Answer:

295

Explanation:

At the bake sale, students brought in 115 cupcakes, 95 brownies, and 85 cookies.

They brought in 295 baked goods.

115 + 95 + 85 = 295

Total baked goods 295