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McGraw Hill My Math Grade 5 Chapter 3 Lesson 8 Answer Key Divide Three- and Four-Digit Dividends

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 8 Divide Three- and Four-Digit Dividends  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 3 Lesson 8 Divide Three- and Four-Digit Dividends

Math in My World

Guided Practice

Independent Practice

Algebra Divide to find the unknown number in each equation.

Question 11. 414 ÷ 3 = c c = ____ Answer: c = 138 Explanation: Divide the hundreds. Divide. 4 ÷ 3 = 1 Multiply. 1 × 3 = 3 Subtract. 4 – 3 = 1 Compare. 1 < 3 Divide the tens. Divide. 11 ÷ 3 = 9 Multiply. 3 × 3 = 9 Subtract 11 – 9 = 2 Compare. 2 < 3 Divide the ones. Divide. 24 ÷ 3 = 8 Multiply. 8 × 3 = 24 Subtract. 24 – 24 = 0 Compare. 0 < 3 Check Multiply to check your answer. 138 × 3 = 414

Question 12. 5,120 ÷ 4 = m m = _____ Answer: m = 1280 Explanation: Divide the thousands. Divide. 5 ÷ 4 = 1 Multiply. 1 × 4 = 4 Subtract. 5 – 4 = 1 Compare. 1 < 4 Divide the hundreds. Divide. 11 ÷ 4 = 2 Multiply. 2 × 4 = 8 Subtract. 11 – 8 = 2 Compare. 2 < 4 Divide the tens. Divide. 22 ÷ 4 = 5 Multiply. 5 × 4 = 20 Subtract 22 – 20 = 2 Compare. 2 < 4 Divide the ones. Divide. 20 ÷ 4 = 5 Multiply. 4 × 5 = 20 Subtract. 20 – 20 = 0 Compare. 0 < 4 Check Multiply to check your answer. 1280 × 4 = 5120

Question 13. 1,535 ÷ 5 = x x = ____ Answer: x = 307 Explanation: The digit in thousand place is less than the divisor. Divide the hundreds. Divide. 15 ÷ 5 = 3 Multiply. 3 × 5 = 15 Subtract. 15 – 15 = 0 Compare. 0 < 5 The digit in thousand place is less than the divisor. Divide the ones. Divide. 35 ÷ 5 = 7 Multiply. 7 × 5 = 35 Subtract. 35 – 35 = 0 Compare. 0 < 5 Check Multiply to check your answer. 307 × 5 = 1535

Problem Solving

Question 14. Three new video game systems cost $645. If all the game systems cost the same, what is the cost of each game system? Answer: $215 Explanation: Three new video game systems cost $645. The cost of each game system, $645 ÷ 3 = $215 Divided the hundreds. 6 ÷ 3 = 2 Divided tens. 4 ÷ 3 = 1 Interpret remainder 1. Divided ones. 15 ÷ 3 = 5 Add all the quotients 200 + 10 + 5 = 215

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McGraw Hill My Math Grade 5 Chapter 3 Lesson 8 My Homework Answer Key

Question 4. Mathematical PRACTICE Use Number Sense Mr. Peters has 80 sheets of colored paper. Seven of his students need the paper for a project. How many sheets does each student get? How many sheets are left over? Answer: Each student get 11 sheets. 3 sheets are left over. Explanation: Mr. Peters has 80 sheets of colored paper. Seven of his students need the paper for a project. Number of sheets does each student get, 80 ÷ 7 =  11 Remainder = 3 So, 3 sheets are left over. Check: 11 x 7 = 77 77 + 3 = 80.

Question 5. Tina has earned a total of 9,644 frequent flyer miles by traveling between Twin Falls and Preston. She has made this trip 4 times. How many miles is one trip between these two cities? Answer: 2411 miles. Explanation: Tina has earned a total of 9,644. She has made this trip 4 times. Number of miles is one trip between these two cities, 9644 ÷ 4 = 2411 miles.

Question 6. A family of 4 spent $104 for tickets to a concert. All of the tickets were the same price. What was the cost of each ticket? Answer: $26 Explanation: A family of 4 spent $104 for tickets to a concert. The cost of each ticket $104 ÷ 4 = $26

Test Practice

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Texas Go Math Grade 5 Lesson 2.3 Answer Key Division with 2-Digit Divisors

Refer to our Texas Go Math Grade 5 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 5 Lesson 2.3 Answer Key Division with 2-Digit Divisors.

Investigate

Materials: base-ten blocks

There are 156 students in the Carville Middle School chorus. The music director wants the students to stand with 12 students in each row for the next concert. How many rows will there be?

A. Use base-ten blocks to model the dividend, 156.

B. Place 2 tens below the hundred to form a rectangle. How many groups of 12 does the rectangle show? How much of the dividend is not shown in this rectangle? Answer: When we divide 120 into blocks of ten, there will be 10 blocks of 12. The dividend that is not shown in the rectangle will be: 36

C. Combine the remaining tens and ones into as many groups of 12 as possible. How many groups of 12 are there? Answer: From part (B), We can observe that There are remaining 36 blocks after we placed 120 blocks Now, We can arrange 36 blocks into 3 groups of 12 Hence, from the above, We can conclude that There are 3 groups of 12

D. Place these groups of 12 on the right side of the rectangle to make a larger rectangle. Answer: From part A, There are 10 groups of 12 From part B, There are 3 groups of 12 So, The total number of groups of 12 = 10 + 3 = 13 groups of 12

E. The final rectangle shows groups of 12.

So, There will be 13 rows of 12 students.

Draw Conclusions

Question 1. Explain why you still need to make groups of 12 after Step B. Answer: In Step B, We made 10 groups of 12. But, There are 36 remaining blocks So, We have to find whether we can make groups of 12 with 36 or not Hence, We will still need to make groups of 12 after Step B

Question 2. Describe how you can use base-ten blocks to find the quotient 176 ÷ 16. Answer: The given division expression is: 176 ÷ 16 Now, Step A: Divide 176 into 16 base-ten blocks So, The 16 ten-base blocks will be equal to 160 and the remainder will be 16 Step B: Find out whether 16 will be divided into groups of 16 Step C: We can make 1 group of 16 blocks Hence, from the above, We can conclude that The quotient of 176 ÷ 16 by using the base-ten blocks is: 11

You can use a quick picture to record the partial products.

Divide. 180 ÷ 15

MODEL Use base-ten blocks.

STEP 1: Model the dividend, 180, as 1 hundred 8 tens. Model the first partial quotient by making a rectangle with the hundred and 5 tens. In the Record, cross out the hundred and tens you use. So, The rectangle shows 10 groups of 15.

STEP 2: Additional groups of 15 cannot be made without regrouping.

Regroup 1 ten as 10 ones. In the Record, cross out the regrouped ten.

There are now 25 tens and 5 ones.

STEP 3: Decide how many additional groups of 15 can be made with the remaining tens and ones. The number of groups is the second partial quotient.

Make your rectangle larger by including these groups of 15. In the Record, cross out the tens and ones you use. So, There are now 12 groups of 15.

RECORD Use quick pictures.

So, 180 ÷ 15 is 12

Math Talk Mathematical Processes

Explain how your model shows the quotient. Answer: When we draw a model for the given division expression, We will draw in the form of partial products So, When we add the Partial numbers that are divided, the result will be given the value of the quotient for the given division expression

Share and Show

Use the quick picture to divide.

Use base-ten blocks or a quick picture to divide.

Problem Solving

The Pony Express used men riding horses to deliver mail between St. Joseph, Missouri, and Sacramento, California, from April 1860 to October 1861. The trail between the cities was approximately 2,000 miles long.

Daily Assessment Task

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Texas Test Prep

Texas Go Math Grade 5 Lesson 2.3 Homework and Practice Answer Key

Lesson Check

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