Math Expressions Grade 5 Unit 5 Lesson 8 Answer Key Divide with Two Decimal Numbers

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Math Expressions Common Core Grade 5 Unit 5 Lesson 8 Answer Key Divide with Two Decimal Numbers

Math Expressions Grade 5 Unit 5 Lesson 8 Homework

Divide.

Lesson 8 Divide with Two Decimal Numbers Math Expressions Question 1.

Answer: 60

Explanation:

If the divisor is a decimal number, move the decimal all the way to the right. Count the number of places and move the decimal in the dividend the same number of places. Add zeroes if needed.
Then we have 420 ÷ 7

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 420, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 7, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 42 by the divisor, 7.

42 divided by 7 is 6, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 4.2 ÷ 0.07 = 60

Unit 5 Lesson 8 Math Expressions Divide with Two Decimal Numbers Question 2.

Answer: 3

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 24, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 8, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 24 by the divisor, 8.

24 divided by 8 is 3, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 2.4 ÷ 0.8 = 3

Question 3.

Answer: 96

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 480, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 5, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 48 by the divisor, 2.

48 divided by 5 is 9, with a remainder of 3
Bring down the next number of the dividend and insert it after the 3 so you have 30.
30 divided by 5 is 6, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 4.8 ÷ 0.05 = 96

Question 4.

Answer: 8.6

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 206.4, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 24, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first three numbers of the dividend, 206 by the divisor, 24.

206 divided by 24 is 8, with a remainder of 14. You can ignore the remainder for now.
Bring down the next number of the dividend and insert it after the 14 so you have 144.
144 divided by 24 is 6, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 0.264 ÷ 0.24 = 8.6

Question 5.
Circle the division that does not have the same answer as the others.
54 ÷ 6
5.4 ÷ 0.6
0.54 ÷ 0.6
0.54 ÷ 0.06
0.054 ÷ 0.006
Answer: 0.54 ÷ 0.6 = 0.9

Explanation:

0.54 ÷ 0.6

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 54, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 6, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first three numbers of the dividend, 54 by the divisor, 6.

54 divided by 6 is 9, with a remainder of 0. You can ignore the remainder for now.
Since the remainder is 0, your long division is done.

So, 0.54 ÷ 0.6 = 0.9

Except 0.54 ÷ 0.6 , All of the given divisions have the output of 9

Solve.

Question 6.
A beekeeper collected 7.6 liters of honey. She will pour it into bottles that each hold 0.95 liter. How many bottles will she fill?
Answer: She can fill 8 bottles

Explanation:

Given, A beekeeper collected 7.6 liters of honey.
She will pour it into bottles that each hold 0.95 liter.
We have 7.6 ÷ 0.95

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 760, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 95, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first three numbers of the dividend, 760 by the divisor, 95.

760 divided by 95 is 8, with a remainder of 0. You can ignore the remainder for now.
Since the remainder is 0, your long division is done.

So, 7.6 ÷ 0.95 = 8

Thus, She can fill 8 bottles

Question 7.
A very small dinosaur, the micro raptor, was only 1.3 feet long. One of the largest dinosaurs, the diplodocus, was about 91 feet long. How many times as long as the micro raptor was the diplodocus?
Answer: The diplodocus is 7 times as long as the micro raptor

Explanation:

Given, A very small dinosaur, the micro raptor, was only 1.3 feet long.
One of the largest dinosaurs, the diplodocus, was about 91 feet long.
We have, 91÷ 1.3

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 91, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 13, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first three numbers of the dividend, 91 by the divisor, 13.

91 divided by 13 is 7, with a remainder of 0. You can ignore the remainder for now.
Since the remainder is 0, your long division is done.

So, 91 ÷ 1.3 = 7

So, The diplodocus is 7 times as long as the micro raptor

Question 8.
Tomorrow, in the town of Eastwood, there will be a big race. The course is 5.25 kilometers long. A water station will be set up every 0.75 kilometer, including at the finish line. How many water stations will there be?
Answer: There will be 7 water stations.

Explanation:

Given, The course is 5.25 kilometers long.
A water station will be set up every 0.75 kilometer, including at the finish line.
We have, 5.25 ÷ 0.75

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 525, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 75, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first three numbers of the dividend, 525 by the divisor, 7.

525 divided by 75 is 7, with a remainder of 0. You can ignore the remainder for now.
Since the remainder is 0, your long division is done.

So, 5.25 ÷ 0.75 = 7

Finally, There will be 7 water stations.

Question 9.
Marisol’s bedroom has an area of 29.76 square meters. The length of the room is 6.2 meters. What is its width?
Answer: The width is 4.8 meters.

Explanation:

The width w of rectangle is given byal that is, w = \(\frac{a}{l}\)
Then we have, 29.76 ÷ 6.2

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 297.6, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 62, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first three numbers of the dividend, 297 by the divisor, 62.

297 divided by 62 is 4, with a remainder of 49. You can ignore the remainder for now.
Bring down the next number of the dividend and insert it after the 49 so you have 496.
496 divided by 62 is 8, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, The width is 4.8 meters.

Math Expressions Grade 5 Unit 5 Lesson 8 Remembering

Round to the nearest tenth.

Question 1.
1.28 __________
Answer: 1.3

Explanation:
Rounding to the nearest tenth means,
leaving only one number after the decimal point.
So, 1.28 will be 1.3

Question 2.
14.21 __________
Answer: 14.2

Explanation:
Rounding to the nearest tenth means,
leaving only one number after the decimal point.
So, 14.21 will be 14.2

Question 3.
8.148 __________
Answer: 8.1

Explanation:
Rounding to the nearest tenth means,
leaving only one number after the decimal point.
So, 8.148 will be 8.1

Round to the nearest hundredth.

Question 4.
4.769 __________
Answer: 4.77

Explanation:
Round to the nearest hundredth means
leaving only two numbers after the decimal point
So, 4.769 will be 4.77

Question 5.
45.124 __________
Answer: 45.12

Explanation:
Round to the nearest hundredth means
leaving only two numbers after the decimal point
So, 45.124 will be 45.12

Question 6.
16.107 __________
Answer: 16.11

Explanation:
Round to the nearest hundredth means
leaving only two numbers after the decimal point
So, 16.107 will be 16.11

Solve.

Question 7.

Answer: 10.78

Explanation:

Multiply the each number in 7.7 with the each number in 1.4,
place the decimal according to the count of the numbers after the decimal .
That is 10.78

Question 8.

Answer: 0.155

Explanation:

Multiply the each number in 3.1 with the each number in 0.05,
place the decimal according to the count of the numbers after the decimal .
That is 0.155

Question 9.

Answer: 5.211

Explanation:

Multiply the each number in 5.79 with the each number in 0.9,
place the decimal according to the count of the numbers after the decimal .
That is 5.211

Question 10.

Answer: 29.92

Explanation:

Multiply the each number in 3.4 with the each number in 8.8,
place the decimal according to the count of the numbers after the decimal .
That is 29.92

Question 11.

Answer: 1.61

Explanation:

Multiply the each number in 3.5 with the each number in 0.46,
place the decimal according to the count of the numbers after the decimal .
That is 1.61

Question 12.

Answer: 7.74

Explanation:

Multiply the each number in 8.6 with the each number in 0.90,
place the decimal according to the count of the numbers after the decimal .
That is 7.74

Solve.

Question 13.

Answer: 40

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 360, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 9, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 36 by the divisor, 9.

36 divided by 9 is 4, with a remainder of 0. You can ignore the remainder for now.
Bring down the next number of the dividend and insert it after the 0 so you have 0.
0 divided by 9 is 0, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 36 ÷ 0.9 =40

Question 14.

Answer: 8,000

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 48000, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 6, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 48 by the divisor, 6.

48 divided by 6 is 8, with a remainder of 0. You can ignore the remainder for now.
Bring down the next number of the dividend and insert it after the 0 so you have 0.
0 divided by 6 is 0, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 48 ÷ 0.006 =8000

Question 15.

Answer: 800

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 3200, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 4, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 32 by the divisor, 4.

32 divided by 4 is 8, with a remainder of 0. You can ignore the remainder for now.
Bring down the next number of the dividend and insert it after the 0 so you have 0.
0 divided by 4 is 0, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 32 ÷ 0.04 =800

Question 16.

Answer: 520

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 3640, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 7, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 36 by the divisor, 7.

36 divided by 7 is 5, with a remainder of 1. You can ignore the remainder for now.
Bring down the next number of the dividend and insert it after the 1 so you have 14.
14 divided by 7 is 2, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 364 ÷ 0.7 =520

Question 17.

Answer: 6,500

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 221000, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 34, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 221 by the divisor, 34.

221 divided by 34 is 6, with a remainder of 17. You can ignore the remainder for now.
Bring down the next number of the dividend and insert it after the 17 so you have 170.
170 divided by 34 is 5, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 2210 ÷ 0.34 =6500

Question 18.

Answer: 1,800

Explanation:

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 149400, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 83, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 149 by the divisor, 83.

149 divided by 83 is 1, with a remainder of 66. You can ignore the remainder for now.
Bring down the next number of the dividend and insert it after the 66 so you have 664.
664 divided by 83 is 8, with a remainder of 0.
Since the remainder is 0, your long division is done.

So, 1494 ÷ 0.83 =1800

Question 19.
Stretch Your Thinking Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole-number quotient? Write a division equation using two decimal numbers to support your answer.
Answer: 2.4 ÷ 0.3 = 8

Explanation:

2.4 is the dividend
0.3 is the divisor
8 is the quotient

Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

Put 24, the dividend, on the inside of the bracket. The dividend is the number you’re dividing.
Put 3, the divisor, on the outside of the bracket. The divisor is the number you’re dividing by.
Divide the first two numbers of the dividend, 24 by the divisor, 3.

24 divided by 3 is 8, with a remainder of 0. You can ignore the remainder for now.
Since the remainder is 0, your long division is done.

So, 2.4 ÷ 0.3 = 8.

Math Expressions Grade 5 Unit 5 Lesson 8 Answer Key Divide with Two Decimal Numbers – Math Expressions Answer Key (2024)

Math Expressions Common Core Grade 5 Unit 5 Lesson 8 Answer Key Divide with Two Decimal Numbers