# Texas Go Math Grade 4 Lesson 10.5 Answer Key Divide by 1-Digit Numbers

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## Texas Go Math Grade 4 Lesson 10.5 Answer Key Divide by 1-Digit Numbers

Essential Question

How can you divide multi-digit numbers?

Unlock the Problem Students in the third, fourth, and fifth grades made 525 origami animals to display in the library. Each grade made the same number of animals. How many animals did each grade make?

Example 1 Divide. 525 ÷ 3

STEP 1 Use place value to place the first digit. Look at the hundreds in 525. Five hundreds can be shared among 3 groups without first regrouping.
The first digit of the quotient will be in the ____________ place. The first digit of the quotient will be in the hundreds place.

Math Talk

Mathematical Processes
At the checking step, what would you do if the number is greater than the divisor?

If the number is greater than the divisor then the division is incomplete.

STEP 2 Divide the hundreds.
Divide. Share _______________ hundreds equally among ______ groups. Multiply. _______________ × _______________
Subtract. ____________ – ____________
Check. ____________ hundreds cannot be shared among 3 groups without regrouping.

Share 525 hundreds equally among 3 groups.

Multiply : 3 x 1= 3

Subtract : 5 – 3 = 2

100 hundreds cannot be shared among 3 groups without regrouping.

STEP 3 Divide the tens.
Divide. Share ____________ equally among ____________ groups. Multiply. ____________
Subtract. ____________ – ____________
Check. ____________
_________________
_________________ .
So, each class made ___________ origami animals.

On dividing divisor 3 with 22

we get, 3 x 2 = 6

22 – 21 = 15

STEP 4 Divide the ones.
Divide. Share ____________ equally among ____________ groups. Multiply. ____________
Subtract. ____________ – ____________
Check. _____________ are left. On dividing divisor 3 with 15

We get remainder 0

Therefore, each class made 175 origami animals.

There are 8523 sheets of origami paper to he divided equally among 8 schools. How many sheets of origami paper will each school get? Example 2 Divide. 8523 ÷ 8 STEP 1 Use place value to place the first digit. Look at the thousands in 8,523. 8 thousands can be shared among 8 groups without regrouping.

The first digit of the quotient will be in the ____________ place.

STEP 2 Divide the thousands.

STEP 3 Divide the hundreds.

STEP 4 Divide the tens.

STEP 5 Divide the ones.

So, each school will get ___________ sheets of origami paper.

There will be ____________ sheets left. The first digit of the quotient will be in the thousands place.

Each school get 1065 origami paper

There will be 3 sheets left.

Share and Show

Question 1.
Ollie used 852 beads to make 4 bracelets. He put the same number of beads on each bracelet. How many beads does each bracelet have? So, each bracelet has _________ beads. So, each bracelet has 213 beads.

Divide.

Question 2.  Quotient = 197

Remainder = 0

Question 3.  Quotient = 401

Remainder = 1

Question 4.  Quotient = 0882

Remainder =0

Problem Solving

Use the table for 5-7. Question 5. H.O.T. Multi-Step Four teachers bought 10 origami books and 100 packs of origami paper for their classrooms. They will share the cost of the items equally. How much should each teacher pay?

Number of origami books = 10

Cost of origami book = $24 each So, 10 x$24 = $240 Number of origami paper = 100 Cost of origami paper =$6 each

So, 100 x $6 =$600

Total amount = $240 +$600

= $840 Now, Number of teachers = 4 Which means, 840/4 Therefore, each teacher should pay$210.

Question 6.
H.O.T. Communicate Six students shared equally the cost of 18 of one of the items in the chart. Each student paid $24. What item did they buy? Explain how to use division to find your answer. Answer: Number of students = 6 The amount each student paid =$24

Also given, Six students shared equally the cost of 18 of one of the items in the chart.

Let us assume they bought origami cost which cost $8 each Now, 18 x$8 =

144

So, 144/6= As the quotient is 24 which defines the amount each student paid.

Therefore, we can clearly say that they paid origami kit.

Question 7.
Apply Ms. Alvarez has $1,482 to spend on origami paper. How many packs can she buy? Answer: The total amount Ms. Alvarez had to spend =$1,482

The cost of origami paper = $6 each Now, 1428/6 = Therefore, She can buy 247 packs. Question 8. Multi-Step Evan made origami cranes with red, blue, and yellow paper. The number of cranes in each color is the same. If there are 342 cranes, how many of them are either blue or yellow? Answer: Total of colors = 3 Number of cranes = 342 Also given, The number of cranes in each color is the same. Now, 342/3 Therefore, there are 114 cranes in each color. Question 9. H.O.T. Multi-Step In 4 months, Mr. Nash wants to buy a car for$3,458. He already has saved $1,226. How much must he save each month to have the total amount he needs if he saves the same amount each month? Answer: The cost of the car =$3,458.

Total amount he saved = $1,226. Now, 3458 – 1226 = 2232 Therefore, he have to save$558 to have the total amount required to buy a car.

Question 10.
Apply A company made 1,215 yards of copper wire. They want to wrap the same amount of wire on each of three spools. How many yards of wire will be on each spool?
(A) 45 yards
(B) 405 yards
(C) 414 yards
(D) 43 yards

The length of copper wire a company made = 1,215 yards.

Number of pools they want to wrap = 3

So, 1,212/3 Question 11.
Pam’s school is opening a new school library. She is packing books to help move. She can fit 8 books in each box. The school has 1,088 books. How many boxes does she need? .
(A) 136boxes
(B) 111 boxes
(C) 211 boxes
(D) 174 boxes

Total number of books = 1,088

Number of books she can fit in each box = 8

Now, 1,088/8

= Therefore, Pam need 136 boxes.

Question 12.
Multi-Step Mrs. Paul is buying supplies for art class. She can buy small bottles of paint for $2 each and each canvas costs$1. She has $40 to spend. If she buys 14 canvases, how many bottles of paint can she buy? (A) 26 bottles (B) 13 bottles (C) 52 bottles (D) 39 bottles Answer: Total amount of money Mrs. Paul have =$40

The cost of each small bottle of paint = $2 The cost of each Canva =$1

Also given condition, If she buys 14 canvas, then

Number of paint bottles =

Total amount for 14 canvas = $14 So, Total money – Cost of 14 Canvas = left over money =$40 – $14 =$26

Now, $26/2 = 13 Therefore, she can buy 13 bottles of paint. TEXAS Test Prep Question 13. An artist made 515 origami animals in 5 days. She made the same number of animals each day. flow many origami animals did she make each day? (A) 510 (B) 103 (C) 13 (D) 2,060 Answer: Total number of days = 5 Total number of origami an artist made = 515 So, She the same number of animals each day Now, Therefore, She made 103 origami animals each day. ### Texas Go Math Grade 4 Lesson 10.5 Homework and Practice Answer Key Divide. Question 1. Answer: Question 2. Answer: Question 3. Answer: Question 4. Answer: Quotient = 0368 Remainder = 2 Question 5. Answer: Quotient = 0415 Remainder = 3 Question 6. Answer: Quotient = 1230 Remainder = 0 Problem Solving Question 7. A busy coffee shop sold 1,160 cups of coffee in five days. If the same amount of cups were sold each day, how many cups were Sold in 1 day? Answer: Total number of coffee cups = 1,160 Number of days = 5 According to given condition, If the same amount of cups were sold each day 1160/5 = Therefore, 232 cups were sold 1 day. Question 8. The coffee shop sold 340 slices of pie in five days. If the same number of slices were sold each day, how many slices of pie were sold in 1 day? Answer: Number of slices = 340 Number of days = 5 If the same number of slices were sold each day Therefore, 68 slices of pie was sold in 1 day. Lesson Check Fill in the bubble completely to show your answer. Question 9. The computer club is selling 4,500 raffle tickets to win a new laptop computer. If they want to divide the tickets evenly to sell over 5 days, how many tickets can be sold each day? (A) 90 (B) 80 (C) 800 (D) 900 Answer: Total number of raffle tickets = 4,500 Number of days = 5 Given condition, If they want to divide the tickets evenly to sell over 5 days, So, Therefore, 900 tickets were sold each day. Question 10. The football booster club sold 456 slices of pizza at the game. If each pizza was sliced into 8 pieces, how many pizzas did the booster club sell? (A) 56 (B) 60 (C) 57 (D) 55 Answer: The number of slices of pizza = 456 the number of slices the pizza is sliced = 8 Now, 456/8 Therefore, the booster club sold 57 pizzas. Question 11. The PTA has$1,374 to spend on student planners. If each planner costs $3, how many planners can the PTA purchase? (A) 357 (B) 428 (C) 358 (D) 458 Answer: The amount PTA had to student planners =$1,374

The cost of each planner = \$3

Now, Therefore, PTA need to buy 458 planners.

Question 12.
A flooring company needs 1,554 tiles for a job. If the tiles come in boxes of 6, how many boxes will the company need to complete the job?
(A) 259
(B) 268
(C) 279
(D) 369

Total number of tiles= 1554

Number of boxes = 6

Now, 1554/6 = Therefore, In 259 boxes the company will complete the job

Question 13.
Multi-Step Jessica wants to read 1,500 pages over her summer break. So far, she has read 412 pages. If she reads the same number of pages each week for the next 8 weeks, how many pages will she have to read each week to achieve her goal?
(A) 272
(B) 136
(C) 125
(D) 187

Total number of pages = 1500

Now, 1500 – 412

= 1088

Number of weeks = 8

So, 1088/8 = Therefore, Jessica needs to read 136 pages to achieve her goal.

Question 14.
Multi-Step The flower shop received a shipment of 248 pink roses and 256 red roses. The shop owner uses 6 roses to make an arrangement. How many arrangements can the shop owner make if he uses all the roses?
(A) 86
(B) 74
(C) 84
(D) 75

Number of pink roses = 248

Number of red roses = 256

Total number of roses=

248 + 256

= 504

The number of roses owner used to make an arrangement = 6

Now, 504/6 = Therefore, with all the roses the owner can make 84 arrangements.