All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 6 Division Models with Greater Numbers will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 3 Lesson 6 Division Models with Greater Numbers
Build It
At the fair, you need tickets to ride the rides. Three friends share 336 tickets equally. How many tickets will each friend receive?
Find 336 ÷ 3.
1. Model 336 using base-ten blocks.
2. Divide the hundreds into 3 groups. Circle the equal groups above.
How many hundreds are in each group? ____
3. Divide the tens into 3 groups. Circle the equal groups above.
How many tens are in each group? _____
4. Divide the ones into 3 groups. Circle the equal groups above.
How many ones are in each group? ____
So, each friend will receive ____ tickets.
Check Use multiplication to check your answer.
____ × 3 = 336
Answer:
112
Explanation:
Divide the hundreds into 3 groups. Circle the equal groups above.
1 tens and 2 ones in each group.
Try It
Find 319 ÷ 2.
The base-ten blocks show 319.
1. Divide the hundreds into 2 groups.
Draw the equal groups.
How many hundreds are left over? _____
2. Regroup the remaining hundred into ____ tens.
There are now a total of ___ tens.
Divide the tens into 2 groups.
Draw ____ tens in each group.
How many tens are left over? ____
3. Regroup the remaining ten into ___ ones.
There are now a total of ____ ones. Divide the ones into 2 groups.
Draw ____ ones in each group.
How many ones are left over? _____
Each group has ____ hundred, ___ tens, and ___ ones.
There is ___ one left over. So, 319 ÷ 2 = ____
Check Use multiplication to check your answer.
___ × 2 = 318
318 + ___ = 319
Answer:
300 ÷ 2 = 150
Explanation:
Divided the hundreds into 2 equal groups.
one hundreds are left over
Regroup the remaining hundred into 10 tens.
There are now a total of 11 tens.
Divide the tens into 2 groups.
Draw tens in each group.
one ten is left over.
159 × 2 = 318
318 + 1 = 319
Each group has one hundred, 5 tens, and 9 ones.
There is one left over. So, 319 ÷ 2 = 318 + 1
Talk About It
Question 1.
Mathematical PRACTICE 1 Plan Your Solution How can you divide 3 hundreds into 2 equal groups?
Answer:
300 ÷ 2 = 150
Explanation:
On dividing the whole or a group of objects is into equal parts, we get equal shares.
We need to divide an object or a whole number into equal parts to distribute it equally.
300 ÷ 2 = 150
Practice It
Use models to find each quotient. Draw the equal groups.
Question 2.
344 ÷ 2 = ____
Answer:
172
Explanation:
344 ÷ 2 = 172
344 is divided into 2 equal groups as 2 hundreds, 7 tens and 2 ones.
Question 3.
468 ÷ 4 = ___
Answer:
117
Explanation:
468 is divided into 4 equal groups as 4 hundreds, 1 tens and 7 ones.
468 ÷ 4 = 117
Question 4.
383 ÷ 3 = ____
Answer:
Quotient is 127.
Remainder is 2.
Explanation:
Divided each group into 3 equal parts.
Each group has one hundred, 2 tens, and 7 ones.
There is two left over. So, 383 ÷ 3 = 127 + 2
Question 5.
257 ÷ 2 = ____
Answer:
Explanation:
Each group has one hundred, 5 tens, and 9 ones.
There is one left over. So, 257 ÷ 2 = 128 + 1
Apply It
For Exercises 6-7 and 9, use models to help you find each quotient.
Question 6.
Sarah ordered 366 school newspapers to be printed. The newspapers arrived in 3 boxes. How many newspapers were in each box?
Answer:
122 newspapers.
Explanation:
Sarah ordered 366 school newspapers to be printed.
The newspapers arrived in 3 boxes.
Number of newspapers in each box,
366 ÷ 3 = 122
Question 7.
A monkey’s heart beats about 576 times in 3 minutes. How many times does a monkey’s heart beat in 1 minute?
Answer:
192 times.
Explanation:
A monkey’s heart beats about 576 times in 3 minutes.
Number of times does a monkey’s heart beat in 1 minute,
576 ÷ 3 = 192 times.
Question 8.
Mathematical PRACTICE 6 Explain to a Friend If you are dividing a three-digit even number by two, will you ever have a remainder? Explain to a friend.
Answer:
NO
Explanation:
by dividing any even number by 2 we will not get a reminder
eg: 222 ÷ 2 = 111 (no remainder)
888 ÷ 2 = 444 (no remainder)
986 ÷ 2 = 493 (no remainder)
118 ÷ 2 = 59 (no remainder)
Question 9.
Gretchen spent 236 hours helping out the neighbors on their farm over the past 2 months. She helped out the same number of hours each month. How many hours did she help each month?
Answer:
118 hours.
Explanation:
Gretchen spent 236 hours,
helping out the neighbors on their farm over the past 2 months.
She helped out the same number of hours each month.
Number of hours she help each month,
236 ÷ 2 = 118 hours.
Write About It
Question 10.
How can I use models to help me divide?
Answer:
Models helps the relationship between the two operations,
and can visually see the “grouping” or “sharing” concept.
Explanation:
A repeated subtraction or model of division is a situation where the dividend represents.
The number of objects and the divisor represents the size of each group.
For example, in the problem. 12÷4,
12 stands for the number of objects and the 4 stands for the size of each group.
McGraw Hill My Math Grade 5 Chapter 3 Lesson 6 My Homework Answer Key
Practice
Use models to find each quotient. Draw the equal groups.
Question 1.
328 ÷ 2 = ____
Answer:
164
Explanation:
Divided each group into 2 equal groups.
Each group has one hundred, 6 tens, and 4 ones.
There is one left over. So, 328 ÷ 2 = 164
Question 2.
443 ÷ 3 = ____
Answer:
443 ÷ 3 = 147 + 2
Explanation:
Divided each group into 3 equal groups.
Each group has one hundred, 4 tens, and 7 ones.
There is one left over. So, 443 ÷ 3 = 147 + 2
Problem Solving
Question 3.
Mathematical PRACTICE 4 Model Math Denny volunteered to sell 372 refreshments at a sports game. He helped for 3 hours. If he sold an equal number of items each hour, how many items did he sell each hour? Draw models to help you find the quotient.
Answer:
124 items per hour.
Explanation:
Denny volunteered to sell 372 refreshments at a sports game.
He helped for 3 hours.
Number of items he sell each hour,
Question 4.
Faith earned $565 last week. She earned the same amount each day. If she worked 5 days, how much did she earn each day? Draw models to help you find the quotient.
Answer:
$113
Explanation:
Faith earned $565 last week.
If she worked 5 days,
Total amount she earn each day,
