## Math Expressions Common Core Grade 5 Unit 5 Lesson 1 Answer Key Divide Whole Numbers by One Digit

**Math Expressions Grade 5 Unit 5 Lesson 1 Homework**

**Complete each division. Check your answer.
**

Question 1.

Answer: 4820 divided by 5 is 964.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 4820 ,

Divisor = 5

Quotient = 964

Remainder = 0

Then, 4820 = ( 5 × 964 ) + 0

4820 = 4820.

So, 4820 divided by 5 is 964.

Question 2.

Answer: 7548 divided by 8 is 943.5.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 7548 ,

Divisor = 8

Quotient = 943.5

Remainder = 0

Then, 7548 = ( 8 × 943.5 ) + 0

7548 = 7548.

So, 7548 divided by 8 is 943.5.

Question 3.

Answer: 7535 divided by 9 is 837.2.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 7535 ,

Divisor = 9

Quotient = 837.2

Remainder = 2

Then, 2958 = ( 9 × 837.2 ) + 2

7535 = 7535.

So, 7535 divided by 9 is 837.2.

Question 4.

Answer: 2958 divided by 3 is 986.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 2958 ,

Divisor = 3

Quotient = 986

Remainder = 0

Then, 2958 = ( 3 × 986 ) + 0

2958 = 2958.

So, 2958 divided by 3 is 986.

Question 5.

Answer: 5857 divided by 7 is 836.7

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 5857 ,

Divisor = 7

Quotient = 836.7

Remainder = 1

Then, 5857 = ( 7 × 836.7 ) + 1

5857 = 5857.

So, 5857 divided by 7 is 836.7 .

Question 6.

Answer: 5556 divided by 6 is 926.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 5556 ,

Divisor = 6

Quotient = 926

Remainder = 0

Then, 5556 = ( 6 × 926 ) + 0

5556 = 5556.

So, 5556 divided by 6 is 926.

Question 7.

Answer: 6945 divided by 7 is 992.1.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 6945 ,

Divisor = 7

Quotient = 992.14

Remainder = 2

Then, 6945 = ( 7 × 992.14 ) + 2

6945 = 6945.

So, 6945 divided by 7 is 992.1.

Question 8.

Answer: 5624 divided by 8 is 703.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 5624 ,

Divisor = 8

Quotient = 703

Remainder = 0

Then, 5624 = ( 8 × 703 ) + 0

5624 = 5624.

So, 5624 divided by 8 is 703.

Question 9.

Answer: 3254 divided by 4 is 813.5.

Explanation:

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 3254 ,

Divisor = 4

Quotient = 813.5

Remainder = 0

Then, 3254 = ( 4 × 813.5 ) + 0

3254 = 3254.

So, 3254 divided by 4 is 813.5.

**Solve. Use estimation to check the solution.
**

Question 10.

Mrs. Wong drove between Chicago and St. Louis 8 times last month. Altogether she drove 2,376 miles. How far is it from Chicago to St. Louis?

Answer: It is 297 miles far from Chicago to St. Louis.

Explanation:

Given, Mrs. Wong drove between Chicago and St. Louis 8 times last month.

Altogether she drove 2,376 miles.

We have 2376 divided by 8 ,Then

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 2376 ,

Divisor = 8

Quotient = 297

Remainder = 0

Then, 2376 = ( 8 × 297 ) + 0

2376 = 2376.

So, It is 297 miles far from Chicago to St. Louis.

Question 11.

Jay has 6,200 beads. He is making bracelets with 9 beads each. How many bracelets can he make? How many beads will be left?

Answer: He can make 688 bracelets and 8 beads will be left over.

Explanation:

Given, Jay has 6,200 beads.

He is making bracelets with 9 beads each.

we have 6200 divided by 9

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 6200 ,

Divisor = 9

Quotient = 688

Remainder = 8

Then, 6200 = ( 9 × 688 ) + 8

6200 = 6200.

So, He can make 688 bracelets and 8 beads will be left over.

Question 12.

There are 5,280 feet in a mile. There are 3 feet ¡n a yard. How many yards are there ¡n a mile?

Answer: There are 1760 yards in a mile.

Explanation:

Given, There are 5,280 feet in a mile.

There are 3 feet in a yard.

We have 5280 divided by 3 ,

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 5280 ,

Divisor = 3

Quotient = 1760

Remainder = 0

Then, 5280 = ( 3 × 1760 ) + 0

5280 = 5280.

So, There are 1760 yards in a mile.

Question 13.

The Pencil Pal factory wraps pencils in packages of 6. Today there are 5,750 pencils to be packaged. How many packages will there be? How many pencils will be left over?

Answer: There will be 958 packages and there will be 2 pencils as left over for each package.

Explanation:

Given, The Pencil Pal factory wraps pencils in packages of 6.

Today there are 5,750 pencils to be packaged.

We have 5750 divided by 6 ,

Check : Dividend = Divisor × Quotient + Remainder

Here, Dividend = 5750 ,

Divisor = 6

Quotient = 958.3

Remainder = 2

Then, 5750 = ( 6 × 958.3 ) + 2

5750 = 5750.

So, There will be 958 packages and there will be 2 pencils as left over for each package.

**Math Expressions Grade 5 Unit 5 Lesson 1 Remembering**

**Write each fraction as decimal.**

Question 1.

\(\frac{2}{10}\) _________

Answer: 0.2

Explanation:

Given, \(\frac{2}{10}\)

The decimal point of a decimal number moves by one place towards the left if we divide it by 10.

So, \(\frac{2}{10}\) in decimal form is 0.2

Question 2.

\(\frac{556}{1,000}\) _________

Answer: 0.556

Explanation:

Given, \(\frac{556}{1,000}\)

The decimal point of a decimal number moves by thousands place place towards the left if we divide it by 1000.

So, \(\frac{556}{1,000}\) in decimal form is 0.556

Question 3.

\(\frac{6}{100}\) ________

Answer: 0.06

Explanation:

Given,\(\frac{6}{100}\)

The decimal point of a decimal number moves by hundreds place place towards the left if we divide it by 100.

So, \(\frac{6}{100}\) in decimal form is 0.06

Question 4.

\(\frac{17}{100}\) _________

Answer: 0.17

Explanation:

Given, \(\frac{17}{100}\)

The decimal point of a decimal number moves by hundreds place place towards the left if we divide it by 100.

So, \(\frac{17}{100}\) in decimal form is 0.17

Question 5.

\(\frac{23}{1,000}\) __________

Answer: 0.023

Explanation:

Given, \(\frac{23}{1,000}\)

The decimal point of a decimal number moves by thousands place place towards the left if we divide it by 1000.

So, \(\frac{23}{1,000}\) in decimal form is 0.023

Question 6.

\(\frac{5}{1,000}\) __________

Answer: 0.005

Explanation:

Given, \(\frac{5}{1,000}\)

The decimal point of a decimal number moves by thousands place place towards the left if we divide it by 1000.

So, \(\frac{5}{1,000}\) in decimal form is 0.005

Question 7.

\(\frac{1}{10}\) _________

Answer: 0.1

Explanation:

Given, \(\frac{1}{10}\)

The decimal point of a decimal number moves by one place towards the left if we divide it by 10.

So, \(\frac{1}{10}\) in decimal form is 0.1

Question 8.

\(\frac{33}{100}\) __________

Answer: 0.33

Explanation:

Given,\(\frac{33}{100}\)

The decimal point of a decimal number moves by hundreds place place towards the left if we divide it by 100.

So,\(\frac{33}{100}\) in decimal form is 0.33

Question 9.

\(\frac{85}{100}\) _________

Answer: 0.85

Explanation:

Given, \(\frac{85}{100}\)

The decimal point of a decimal number moves by hundreds place place towards the left if we divide it by 100.

So,\(\frac{85}{100}\) in decimal form is 0.85

**Solve.**

Question 10.

Answer: 28,000

Explanation:

Anything which multiplies with 0 is 0 , so multiply the remaining numbers

that is 4 × 7 = 28

then add remaining three 0’s to this number,

Then, we have 28,000.

So 400 × 70 = 28,000

Question 11.

Answer: 9,000

Explanation:

Anything which multiplies with 0 is 0 , so multiply the remaining numbers

that is 3 × 3 = 9,

then add remaining three 0’s to this number,

Then, we have 9,000.

So 300 × 30 = 9,000

Question 12.

Answer: 28,000

Explanation:

Anything which multiplies with 0 is 0 , so multiply the remaining numbers

that is 7 × 4 = 28,

then add remaining three 0’s to this number,

Then, we have 28,000.

So 700 × 40 =28,000

Question 13.

Answer: 1000

Explanation:

Anything which multiplies with 0 is 0 , so multiply the remaining numbers

that is 2 × 5 = 10,

then add remaining two 0’s to this number,

Then, we have 1,000.

So 20 × 50 = 1,000

Question 14.

Answer: 45,000

Explanation:

Anything which multiplies with 0 is 0 , so multiply the remaining numbers

that is 9 × 5 = 45,

then add remaining three 0’s to this number,

Then, we have 45,000.

So 900 × 50 =45,000

Question 15.

Answer: 24,000

Explanation:

Anything which multiplies with 0 is 0 , so multiply the remaining numbers

that is 8 × 3 = 24,

then add remaining three 0’s to this number,

Then, we have 24,000.

So 800 × 30 =24,000

**Solve.**

Question 16.

Sarah is dividing pies into eighths. She has 4 pies. How many eighths will she have?

Answer: She has 4 eighths

Explanation:

Given, Sarah is dividing pies into eighths.

She has 4 pies.

Each pie is divided in to eight parts,

so she will have 4 remaining piece,

Sarah has 4 eighths.

Question 17.

The track team plans to sprint 20 miles this school year. The runners will sprint \(\frac{1}{4}\) mile each day. How many days will it take them to sprint 20 miles?

Answer: It takes 80 days to them to sprint 20 miles.

Explanation:

Given, The track team plans to sprint 20 miles this school year.

The runners will sprint \(\frac{1}{4}\) mile each day.

We can write \(\frac{1}{4}\) in to 0.25 as decimal form.

If the runners will sprint 0.25 miles for each day ,they can cover 1 mile in 4 days

Then , for 20 miles, we have 20 × 4 = 80 days

So, It takes 80 days to them to sprint 20 miles.

Question 18.

Stretch Your Thinking Mrs. Thomas bought a bed for $1,548 and three armchairs. The bed cost 4 times as much as one armchair. How much did Mrs. Thomas spend altogether?

Answer: The total amount that Mrs. Thomas spent, is $2709.

Explanation:

Given,

Divide the price of the bed by 4.

$1548 ÷ 4 = $387

The price of one armchair costs $387.

Multiply the cost of the armchair by how many armchairs Mrs. Thomas bought

That is $387 x 3 = $1161

Add the price of three armchairs to the price of the bed.

So, $1548 + $1161 = $2709

Totally, Mrs. Thomas spent $2709.