find the quotient.
3. $41.6 \div 0.1 = \underline{\quad\quad}$
4. $7.8 \div 0.01 = \underline{\quad\quad}$
5. $30.4 \div 10 = \underline{\quad\quad}$
6. $38.2 \div 100 = \underline{\quad\quad}$
7. $4.2 \div 100 = \underline{\quad\quad}$
8. $207.8 \div 10 = \underline{\quad\quad}$
9. $26.4 \div 0.01 = \underline{\quad\quad}$
10. $4.8 \div 0.1 = \underline{\quad\quad}$
11. arabella has $13, all in dimes. how many dimes does she have?
explain.
12. jorge has $22.50, all in pennies. how many pennies does he have?
explain.
13. henry walks to and from school each day. after 100 days of
school, he has walked 125 miles. how many miles does henry
walk to and from school each day? explain.
math @ home activity
find some prices of items around your home, in a store, or in an ad. have
your child tell how many dimes it would take to make that amount. then have
your child tell how many pennies it would take to make that amount.
student practice book

Question

find the quotient.
3. $41.6 \div 0.1 = \underline{\quad\quad}$
4. $7.8 \div 0.01 = \underline{\quad\quad}$
5. $30.4 \div 10 = \underline{\quad\quad}$
6. $38.2 \div 100 = \underline{\quad\quad}$
7. $4.2 \div 100 = \underline{\quad\quad}$
8. $207.8 \div 10 = \underline{\quad\quad}$
9. $26.4 \div 0.01 = \underline{\quad\quad}$
10. $4.8 \div 0.1 = \underline{\quad\quad}$
11. arabella has $13, all in dimes. how many dimes does she have?
    explain.
12. jorge has $22.50, all in pennies. how many pennies does he have?
    explain.
13. henry walks to and from school each day. after 100 days of
    school, he has walked 125 miles. how many miles does henry
    walk to and from school each day? explain.
math @ home activity
find some prices of items around your home, in a store, or in an ad. have
your child tell how many dimes it would take to make that amount. then have
your child tell how many pennies it would take to make that amount.
student practice book

Accepted Answer

### Problem 3: $ 41.6 \div 0.1 $
# Explanation:
## Step 1: Recall division by decimals
Dividing by $ 0.1 $ is equivalent to multiplying by $ 10 $ (since $ \frac{1}{0.1} = 10 $).
$ 41.6 \times 10 $
## Step 2: Perform the multiplication
Moving the decimal point one place to the right (because multiplying by 10), we get $ 416 $.
# Answer: $ 416 $

### Problem 4: $ 7.8 \div 0.01 $
# Explanation:
## Step 1: Recall division by decimals
Dividing by $ 0.01 $ is equivalent to multiplying by $ 100 $ (since $ \frac{1}{0.01} = 100 $).
$ 7.8 \times 100 $
## Step 2: Perform the multiplication
Moving the decimal point two places to the right (because multiplying by 100), we get $ 780 $.
# Answer: $ 780 $

### Problem 5: $ 30.4 \div 10 $
# Explanation:
## Step 1: Recall division by powers of 10
Dividing by $ 10 $ is equivalent to moving the decimal point one place to the left.
$ 30.4 \div 10 $
## Step 2: Move the decimal point
Moving the decimal point in $ 30.4 $ one place to the left gives $ 3.04 $.
# Answer: $ 3.04 $

### Problem 6: $ 38.2 \div 100 $
# Explanation:
## Step 1: Recall division by powers of 10
Dividing by $ 100 $ is equivalent to moving the decimal point two places to the left.
$ 38.2 \div 100 $
## Step 2: Move the decimal point
Moving the decimal point in $ 38.2 $ two places to the left gives $ 0.382 $.
# Answer: $ 0.382 $

### Problem 7: $ 4.2 \div 100 $
# Explanation:
## Step 1: Recall division by powers of 10
Dividing by $ 100 $ is equivalent to moving the decimal point two places to the left.
$ 4.2 \div 100 $
## Step 2: Move the decimal point
Moving the decimal point in $ 4.2 $ two places to the left (we need to add a zero before the 4), we get $ 0.042 $.
# Answer: $ 0.042 $

### Problem 8: $ 207.8 \div 10 $
# Explanation:
## Step 1: Recall division by powers of 10
Dividing by $ 10 $ is equivalent to moving the decimal point one place to the left.
$ 207.8 \div 10 $
## Step 2: Move the decimal point
Moving the decimal point in $ 207.8 $ one place to the left gives $ 20.78 $.
# Answer: $ 20.78 $

### Problem 9: $ 26.4 \div 0.01 $
# Explanation:
## Step 1: Recall division by decimals
Dividing by $ 0.01 $ is equivalent to multiplying by $ 100 $ (since $ \frac{1}{0.01} = 100 $).
$ 26.4 \times 100 $
## Step 2: Perform the multiplication
Moving the decimal point two places to the right (because multiplying by 100), we get $ 2640 $.
# Answer: $ 2640 $

### Problem 10: $ 4.8 \div 0.1 $
# Explanation:
## Step 1: Recall division by decimals
Dividing by $ 0.1 $ is equivalent to multiplying by $ 10 $ (since $ \frac{1}{0.1} = 10 $).
$ 4.8 \times 10 $
## Step 2: Perform the multiplication
Moving the decimal point one place to the right (because multiplying by 10), we get $ 48 $.
# Answer: $ 48 $

### Problem 11: Arabella has $13, all in dimes. How many dimes does she have?
# Explanation:
## Step 1: Recall the value of a dime
A dime is worth $ \$0.10 $.
## Step 2: Set up the division
To find the number of dimes, we divide the total amount by the value of one dime: $ 13 \div 0.10 $
## Step 3: Perform the division
Dividing by $ 0.10 $ is the same as multiplying by $ 10 $, so $ 13 \times 10 = 130 $.
# Answer: Arabella has 130 dimes.

### Problem 12: Jorge has $22.50, all in pennies. How many pennies does he have?
# Explanation:
## Step 1: Recall the value of a penny
A penny is worth $ \$0.01 $.
## Step 2: Set up the division
To find the number of pennies, we divide the total amount by the value of one penny: $ 22.50 \div 0.01 $
## Step 3: Perform the division
Dividing by $ 0.01 $ is the same as multiplying by $ 100 $, so $ 22.50 \times 100 = 2250 $.
# Answer: Jorge has 2250 pennies.

### Problem 13: Henry walks to and from school each day. After 100 days of school, he has walked 125 miles. How many miles does Henry walk to and from school each day?
# Explanation:
## Step 1: Set up the division
To find the daily distance, we divide the total distance by the number of days: $ 125 \div 100 $
## Step 2: Perform the division
Dividing by $ 100 $ is the same as moving the decimal point two places to the left, so $ 125 \div 100 = 1.25 $.
# Answer: Henry walks 1.25 miles to and from school each day.

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 3: \( 41.6 \div 0.1 \)

Step 1: Recall division by decimals

Step 2: Perform the multiplication

Step 1: Recall division by decimals

Step 2: Perform the multiplication

Step 1: Recall division by powers of 10

Step 2: Move the decimal point

Answer:

Problem 4: \( 7.8 \div 0.01 \)