All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 3 Review will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Chapter 3 Review Answer Key
Review
Vocabulary Check
Complete the crossword puzzle using the words in the word bank.
dividend divisor fact family
partial quotients quotient remainder
Across
1. the number that divides the dividend
2. a method of dividing where you break the dividend into sections that are easy to divide
3. the result of a division problem
4. a number that is being divided
Down
5. the number that is left after one whole number is divided by another
6. a group of related facts using the same numbers
Answer:
Explanation:
Dividend: The dividend is the number that is being divided in the division process.
Divisor: The number by which the dividend is being divided by is called the divisor.
Quotient: The quotient is a result obtained in the division process.
Remainder: Sometimes, we cannot divide things exactly or left over.
A partial quotient refers to a method used in solving large division mathematical problems.
The fact family shows the relationships between the three numbers involved.
A fact family is defined as a group of math facts or equations created using the same set of numbers.
Concept Check
Divide. Use a related multiplication fact
Question 7.
14 ÷ 7 = ____
Answer:
2
Explanation:
So, when multiplying or dividing, students can use a fact from the inverse operation.
multiplication fact 7 x 2 = 14,
the related division fact 14 ÷ 7 = 2.
Question 8.
40 ÷ 5 = ____
Answer:
8
Explanation:
So, when multiplying or dividing, students can use a fact from the inverse operation.
multiplication fact 8 x 5 = 40,
the related division fact 40 ÷ 5 = 8.
Find the quotient using a model.
Question 9.
48 ÷ 3 = ____
Answer:
16
Explanation:
So, when multiplying or dividing, students can use a fact from the inverse operation.
multiplication fact 16 x 3 = 48, the related division fact 48 ÷ 3 = 16
Divide.
Question 10.
Answer:
Quotient = 31
Remainder = 0
Explanation:
Divided tens. 9 ÷ 3 = 3
Multiply 3 x 3 = 9
Subtract 9 – 9 = 0
Compare 0 < 3.
Divided ones 3 ÷ 3 = 1
Multiply 1 x 3 = 3
Subtract 3 – 3 = 0
Compare 0 < 3.
Question 11.
Answer:
Quotient = 15
Remainder = 3
Explanation:
Divided the tens. 7 ÷ 5 = 1
Multiply 1 x 5 = 5
Subtract 7 – 5 = 2
Compare 2 < 5.
Divided ones 8 ÷ 5 = 1
Multiply 1 x 5 = 5
Subtract 8 – 5 = 3
Compare 3 < 8.
Remainder is 3.
Question 12.
Answer:
Quotient = 23
Remainder = 1
Explanation:
Divided the tens. 4 ÷ 2 = 2
Multiply 2 x 2 = 4
Subtract 4 – 4 = 0
Compare 0 < 4.
Divided ones 7 ÷ 2 = 3
Multiply 3 x 2 = 6
Subtract 6 – 4 = 2
Compare 2 < 4.
Remainder is 1.
Divide mentally.
Question 13.
300 ÷ 3 = ___
Answer:
100
Explanation:
Divided the hundreds.
300 ÷ 3 = 100
As, there are zeros in tens and ones.
Question 14.
160 ÷ 8 = ____
Answer:
20
Explanation:
As, hundreds are not sufficient for division,
add 1 hundred to 6 tens.
Then divided ones.
Estimate. Show how you estimated.
Question 15.
219 ÷ 2
Answer:
110
Explanation:
219 ÷ 2
Check: 109 x 2 = 218
Add remainder to quotient 218 + 1 = 219
Estimate: 220 ÷ 2 = 110
Question 16.
720 ÷ 7
Answer:
104
Explanation:
103
Check: 102 x 7 = 714
Add remainder to quotient 714 + 6 = 720
Estimate: 728 ÷ 7 = 104
Question 17.
182 ÷ 8
Answer:
23
Explanation:
Check: 182 x 8 = 176
Add remainder to quotient 176 + 6 = 182
Estimate: 184 ÷ 8 = 23
23 x 8 = 24
182 is nearer to 184
Divide.
Question 18.
Answer:
125
Explanation:
Divided the hundreds. 6 ÷ 5 = 1
Multiply 1 x 5 = 5
Subtract 6 – 5 = 1
Compare 1 < 5.
Divided tens. 12 ÷ 5 = 2
Multiply 2 x 5 = 10
Subtract 12 – 10 = 2
Compare 2 < 5.
Divided ones 25 ÷ 5 = 5
Multiply 5 x 5 = 25
Subtract 25 – 25 = 0
Compare 0 < 5.
Question 19.
Answer:
Quotient = 2160
Remainder = 2
Explanation:
Divided the thousands. 8 ÷ 4 = 2
Multiply 2 x 4 = 8
Subtract 8 – 8 = 0
Compare 0 < 4.
Divided the hundreds. 6 ÷ 4 = 1
Multiply 1 x 4 = 4
Subtract 6 – 4 = 2
Compare 2 < 4.
Divided tens. 4 ÷ 4 = 1
Multiply 1 x 4 = 4
Subtract 4 – 4 = 0
Compare 0 < 4.
Remainder is 2.
Question 20.
Answer:
Quotient = 266
Remainder = 1
Explanation:
Divided the hundreds. 5 ÷ 2 = 2
Multiply 2 x 2 = 4
Subtract 5 – 4 = 1
Compare 1 < 2.
Divided the tens. 3 ÷ 2 = 1
Multiply 1 x 2 = 2
Subtract 3 – 2 = 1
Compare 1 < 2.
Divided the 0nes. 3 ÷ 2 = 1
Multiply 1 x 2 = 2
Subtract 3 – 2 = 1
Compare 1 < 2.
Remainder is 1.
Problem Solving
Question 21.
Melanie swam 918 meters in 3 days. If she swam the same distance each day, how far did Melanie swim in one day?
Answer:
306 meters.
Explanation:
Melanie swam 918 meters in 3 days.
One day she can swim, 918 ÷ 3 = 306 meters.
306 x 3 = 918
Question 22.
Luke has 48 books. He puts 7 books in a box. How many boxes can he fill? Explain how you interpreted the remainder.
Answer:
6 boxes.
Quotient = 6
Remainder = 6
Explanation:
Luke has 48 books.
He puts 7 books in a box.
Number of boxes can he fill 48 ÷ 7 = 6
Interpreted the remainder as 1.
7 x 6 = 42
42 + 6 = 48
Question 23.
In 2 hours Cara read 48 pages. If she read the same number of pages each hour, how many pages did Cara read in one hour?
Answer:
24 pages.
Explanation:
In 2 hours Cara read 48 pages.
Number of pages Cara read in one hour,
48 ÷ 2 = 24
In 2 hours Cara read 48 pages.
In 1 hours Cara read 24 pages.
Question 24.
Three plane tickets to New York cost $2,472. If each plane ticket costs the same amount, about how much does one ticket cost?
Answer:
$824
Explanation:
Three plane tickets to New York cost $2,472.
Cost of one ticket, $2472 ÷ 3 = $824
824 x 3 = 2472
Question 25.
Carmen has 468 trading cards in 4 binders. If each binder has the same number of cards, how many cards are in each binder?
Answer:
117 cards.
Explanation:
Carmen has 468 trading cards in 4 binders.
Number of cards in each binder,
117 x 4 = 468
Test Practice
Question 26.
A cabinet with 4 shelves can hold 1,640 CDs. If the shelves each hold the same number of CDs, how many CDs does each shelf hold?
A. 400 CDs
B. 410 CDs
C. 420 CDs
D. 424 CDs
Answer:
Option (B)
410 CDs
Explanation:
A cabinet with 4 shelves can hold 1,640 CDs.
Number of CDs does each shelf hold,
1,640 ÷ 4 = 410
Check: 410 x 4 = 1640
Reflect
Use what you learned about dividing by a one-digit divisor to complete the graphic organizer.
Now reflect on the ESSENTIAL QUESTION? Write your answer below.
Answer:
Explanation:
Strategies used to divided the whole numbers are,
Place values,
Distributive property and
Relation between division multiplication.