We included HMH Into Math Grade 2 Answer Key PDF Module 13 Lesson 5 Add 4 Two-Digit Numbers Using Strategies and Properties to make students experts in learning maths.
HMH Into Math Grade 2 Module 13 Lesson 5 Answer Key Add 4 Two-Digit Numbers Using Strategies and Properties
I Can find sums for ‘4 two-digit numbers by using addition strategies and properties.
Step It Out
1. On a farm, there are 23 orange trees, 15 lemon trees, 17 apple trees, and 30 lime trees. How many trees are on the farm?
A. Choose two of the ones digits that are easy for you to add.
THINK: Which two digits make a ten?
___ + ___ = 10
Answer: 85
7 + 3 = 10
B. Add the other digits.
10 ones + ___ ones + __ ones = __ ones
Answer:
10 + 5 + 0 = 15 ones
C. Regroup if you need to.
___ ones = __ ten __ ones
Answer:
15 ones = 1 ten and 5 ones
D. Write a 1 in the tens column to show the regrouped ten. Write the number of ones left over in the ones place.
Answer:
5 ones
E. Add the tens. Write the number of tens in the tens place.
2 tens + I ten + I ten + 3 tens + I ten = tens
Answer:
2 + 1 + 1 + 3 + 1 = 8 tens
F. Write the sum. ___ tens ___ ones
Answer:
8 tens 5 ones
G. Solve. There are ___ trees on the farm.
Answer:
85 trees on the farm.
Explanation:
On a farm, there are 23 orange trees, 15 lemon trees, 17 apple trees, and 30 lime trees.
Number of trees on the farm = 23 + 15 + 17 + 30 = 85
Step It Out
2. There are 23 frogs, 15 fish, 17 seals, and 30 turtles at the aquarium. How many animals are at the aquarium?
A. Look at the ones digits. Add pairs of digits.
THINK: What is the sum of the first 2 ones digits?
___ + ___ = ____
___ + ___ = ____
Answer:
sum of the first 2 ones digits
3 + 5 = 8
7 + 0 = 7
B. Add the sums.
___ ones + ___ ones = ___ ones
Answer:
8 0nes + 7 ones = 15 ones
C. Regroup if you need to.
___ ones = ___ ten ___ ones
Answer:
15 ones = 1 ten 5 ones
D. Write a 1 in the tens column to show the regrouped ten. Write the number of ones left over in the ones place.
Answer:
5 ones
E. Add the tens. Write the number of tens in the tens place.
2 tens + 1 ten + 1 ten + 3 tens + 1 ten = __ tens
Answer:
2 tens + 1 ten + 1 ten + 3 tens + 1 ten = 8 tens
F. Write the sum. ___ tens ______ ones
Answer:
8 tens 5 ones
G. Solve. There are ___ animals at the aquarium.
Answer:
85 animals.
Explanation:
There are 23 frogs, 15 fish, 17 seals, and 30 turtles at the aquarium.
Number of animals in the aquarium = 23 + 25 + 17 + 30 = 85
Turn and Talk Which method do you prefer to use when adding with 4 two-digit numbers? Why?
Answer:
Preference of answer may vary from student to student.
Explanation:
I prefer both as it has solved steep by step like,
ones and tens column to find the sum of 4-digit numbers.
3. Find the sum.
A. First, choose two numbers that are easy for you to add.
Answer:
THINK: Can you make a ten?
Answer:
Yes, when we add 3 and 7 in ones column,
we get 1 ten.
B. Add the other two numbers.
Answer:
C. Add the two sums. ___ + ______ = ______
Answer:
40 + 45 = 85
Explanation:
First add the sum of the 2 digits in ones column.
Then add the other digits.
Regroup if you need to the digits in ones column.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place.
Add the tens. Write the number of tens in the tens place.
Then write the sum of tens and ones
Turn and Talk Is there a different way you could add the numbers?
Answer:
yes, there are different ways to add the numbers.
Explanation:
Counting the numbers column wise as ones and tens.
Regrouping the ones and tens columns.
Making ten strategy.
If two addends are same double the number.
Check Understanding Math Board
Question 1.
There are 23 blueberry pancakes, 15 pecan pancakes, 25 banana pancakes, and 16 buttermilk 2 pancakes. How many pancakes are there? Solve.
___ pancakes
Answer:
79 pancakes
Explanation:
There are 23 blueberry pancakes, 15 pecan pancakes, 25 banana pancakes, and 16 buttermilk 2 pancakes.
Number of pancakes = 79
Write which two digits in ones column make a ten 5 + 5 = 10
Then add the other ones digit = 6 + 3 = 9
10 + 9 = 19
Regroup tens in ones column as 1 ten 9 ones.
Write a 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place = 9
Add the tens. Write the number of tens in the tens place = 7
Write the sum 7 tens 9 ones
On Your Own
Use Structure Find the sum. Show your work.
Question 2.
Mac makes a building with 23 yellow blocks, 17 blue blocks, 38 green blocks, and 11 red blocks. How many blocks does Mac use?
____ blocks
Answer:
99 blocks
Explanation:
Mac makes a building with 23 yellow blocks,
17 blue blocks,
38 green blocks,
11 red blocks
Number of blocks Mac use = 23 + 17 + 38 + 11 = 99
Question 3.
Answer:
Explanation:
First add the sum of the 2 digits in ones column to make 10
6 + 4 = 10
Then add the other digits 8 + 1 = 9
10 + 9 = 19
Regroup the digits in ones column 1 ten 9 ones.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place = 9
Add the tens. Write the number of tens in the tens place = 9
Then write the sum as 9 tens and 9 ones
Question 4.
Answer:
Explanation:
First add the sum of the 2 digits in ones column 9 + 3 = 12
Then add the other digits 12 + 6 = 18
Regroup if you need to the digits in ones column.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place.
Add the tens. Write the number of tens in the tens place.
Then write the sum of tens and ones
Question 5.
Answer:
Explanation:
First add the sum of the 2 digits in ones column to make 10
7 + 3 = 10
Then add the other digits 4 + 2 = 6
10 + 6 = 16
Regroup the digits in ones column as 1 ten and 6 ones.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place = 6
Add the tens. Write the number of tens in the tens place 9
Then write the sum as 9 tens and 6 ones
Question 6.
Answer:
Explanation:
First add the sum of the 2 digits in ones column 8 + 1 = 9
Then add the other digits 3 + 4 = 7
7 + 9 = 16
Regroup the digits in ones column as 1 ten 6 ones
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place 6
Add the tens. Write the number of tens in the tens place 8
Then write the sum as 8 tens and 6 ones
Question 7.
Reason Look at Problem 3. How can you group the addends to make adding easier? Explain your strategy.
Answer:
First, choose two addends that are easy to make ten.
Then add the other two addends.
Finally add the two sums.
Explanation:
We use make a ten strategy to make addition simple.
Regrouping the ones and tens columns to find the sum.
Use Repeated Reasoning Find the sum.
Show your work.
Question 8.
Elias, Ting, Ronan, and Leslie jump rope. Elias jumps 20 times. Ting jumps 28 times. Ronan jumps 33 times. Leslie jumps 15 times. How many times do they jump?
___ jumps
Answer:
96 jumps
Explanation:
Elias jumps 20 times.
Ting jumps 28 times.
Ronan jumps 33 times.
Leslie jumps 15 times.
Number of times they jump = 20 + 28 + 33 + 15 = 96
Question 9.
Answer:
Explanation:
First add the sum of the 2 digits in ones column to make 10
6 + 4 = 10
Then add the other digits 10 + 1 + 1 = 12
Regroup the digits in ones column as 1 ten and 2 ones.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place = 2
Add the tens. Write the number of tens in the tens place = 9
Then write the sum as 9 tens and 2 ones
Question 10.
Answer:
Explanation:
First add the sum of the 2 digits in ones column 6 + 1 = 7
Then add the other digits 6 + 5 = 11
7 + 11 = 18
Regroup the digits in ones column as 1 ten 8 ones
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place 8
Add the tens. Write the number of tens in the tens place 8
Then write the sum as 8 tens and 8 ones
Question 11.
Answer:
Explanation:
First add the sum of the all digits in ones column 6 + 1 + 3 = 10
Regroup the digits in ones column as 1 ten 0 ones
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place 0
Add the tens. Write the number of tens in the tens place 8
Then write the sum as 8 tens and 0 ones
Question 12.
Answer:
Explanation:
First add the sum of the 2 digits in ones column to make 10
6 + 4 = 10
Then add the other digits 10 + 7 + 2 = 19
Regroup the digits in ones column as 1 ten and 9 ones.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place = 9
Add the tens. Write the number of tens in the tens place = 9
Then write the sum as 9 tens and 9 ones
Question 13.
Answer:
Explanation:
First add the sum of the 2 digits in ones column to make 10
7 + 3 = 10
Then add the other digits 10 + 6 + 1 = 17
Regroup the digits in ones column as 1 ten and 7 ones.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place = 7
Add the tens. Write the number of tens in the tens place = 9
Then write the sum as 9 tens and 7 ones
Question 14.
Answer:
Explanation:
First add the sum of the all digits in ones column 5 + 4 = 9
Add the tens. Write the number of tens in the tens place 9
Then write the sum as 9 tens and 9 ones
On Your Own
Question 15.
Reason Westin has 34 stuffed toys. Quinn has 26 stuffed toys. Opal has 16 stuffed toys. Tyrone has 23 stuffed toys. How many stuffed toys do they have? Rewrite the addition. Solve. Show your work.
34 + 26 + 16 + 23 = ___
Answer:
Explanation:
Westin has 34 stuffed toys.
Quinn has 26 stuffed toys.
Opal has 16 stuffed toys.
Tyrone has 23 stuffed toys.
Number of stuffed toys they have,
34 + 26 + 16 + 23 = 89 toys
Use Tools Find the sum.
Question 16.
Answer:
Explanation:
Add the digits in ones column to make 10
7 + 3 = 10
Then add the other digits 5 + 4 = 9
So, 10 + 9 = 19
Regroup the digits in ones column as 1 ten and 9 ones.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place = 9
Add the tens. Write the number of tens in the tens place = 7
Then write the sum as 7 tens and 9 ones
Question 17.
Answer:
Explanation:
Add the digits in ones column to make 10
8 + 2 = 10
Then add the other digits 3 + 1 = 4
So, 10 + 4 = 14
Regroup the digits in ones column as 1 ten and 4 ones.
Write 1 in the tens column to show the regrouped ten.
Write the number of ones left over in the ones place = 4
Add the tens. Write the number of tens in the tens place = 9
Then write the sum as 9 tens and 4 ones
Question 18.
Construct Arguments Explain how you grouped the addends to solve Problem 17. Then explain a different way you could have grouped them.
Answer:
The addends are grouped as ones and tens,
then write the two digits in ones that make 10.
Explanation:
Make a group of numbers that can make 10
Then add the other addends.
Add the two sums 70 + 24 = 94