Solved on Mar 13, 2024

Find the error in the math operations and provide the correct solution. $42 \div 5, 8 \times 5=40, 9 \times 5=45, (8 \times 5)+2=42, 42 \div 5=8 R 5$

STEP 1

Assumptions
1. We are performing a division operation: $42 \div 5$ .
2. We are using long division to find the quotient and the remainder.
3. We are checking the multiplication facts to find the closest multiples of 5 to 42.
4. We are looking for an error in the given mathematical statements.

STEP 2

First, let's verify the multiplication facts given:
$8 \times 5 = 40$ $9 \times 5 = 45$
These statements are correct as they are basic multiplication facts.

STEP 3

Now, let's examine the next statement:
$(8 \times 5) + 2 = 42$
This statement is also correct as it follows from the first multiplication fact:
$40 + 2 = 42$

STEP 4

Finally, let's look at the division statement:
$42 \div 5 = 8 R 5$
This is where the error lies. When we divide 42 by 5, the remainder must be less than the divisor, which is 5 in this case.

STEP 5

To find the correct remainder, we subtract the product of the quotient and the divisor from the original number:
$Remainder = 42 - (8 \times 5)$

STEP 6

Calculate the remainder:
$Remainder = 42 - 40 = 2$

STEP 7

Now we can write the correct division statement:
$42 \div 5 = 8 R 2$
The correct quotient is 8 and the remainder is 2, not 5.

STEP 8

Therefore, the corrected math is:
$\begin{array}{c} 42 \div 5 \\ 8 \times 5=40 \\ 9 \times 5=45 \\ (8 \times 5)+2=42 \\ 42 \div 5=8 R 2 \end{array}$

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Find the error in the math operations and provide the correct solution. $42 \div 5, 8 \times 5=40, 9 \times 5=45, (8 \times 5)+2=42, 42 \div 5=8 R 5$

STEP 1

Assumptions
1. We are performing a division operation: $42 \div 5$ .
2. We are using long division to find the quotient and the remainder.
3. We are checking the multiplication facts to find the closest multiples of 5 to 42.
4. We are looking for an error in the given mathematical statements.

STEP 2

First, let's verify the multiplication facts given:
$8 \times 5 = 40$ $9 \times 5 = 45$
These statements are correct as they are basic multiplication facts.

STEP 3

Now, let's examine the next statement:
$(8 \times 5) + 2 = 42$
This statement is also correct as it follows from the first multiplication fact:
$40 + 2 = 42$

STEP 4

Finally, let's look at the division statement:
$42 \div 5 = 8 R 5$
This is where the error lies. When we divide 42 by 5, the remainder must be less than the divisor, which is 5 in this case.

STEP 5

To find the correct remainder, we subtract the product of the quotient and the divisor from the original number:
$Remainder = 42 - (8 \times 5)$

STEP 6

Calculate the remainder:
$Remainder = 42 - 40 = 2$

STEP 7

Now we can write the correct division statement:
$42 \div 5 = 8 R 2$
The correct quotient is 8 and the remainder is 2, not 5.

STEP 8

Therefore, the corrected math is:
$\begin{array}{c} 42 \div 5 \\ 8 \times 5=40 \\ 9 \times 5=45 \\ (8 \times 5)+2=42 \\ 42 \div 5=8 R 2 \end{array}$

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Find the error in the math operations and provide the correct solution. 42÷5,8×5=40,9×5=45,(8×5)+2=42,42÷5=8R542 \div 5, 8 \times 5=40, 9 \times 5=45, (8 \times 5)+2=42, 42 \div 5=8 R 542÷5,8×5=40,9×5=45,(8×5)+2=42,42÷5=8R5

STEP 1

Assumptions1. We are performing a division operation: 42÷542 \div 542÷5.2. We are using long division to find the quotient and the remainder.3. We are checking the multiplication facts to find the closest multiples of 5 to 42.4. We are looking for an error in the given mathematical statements.

STEP 2

First, let's verify the multiplication facts given:8×5=408 \times 5 = 408×5=40 9×5=459 \times 5 = 459×5=45These statements are correct as they are basic multiplication facts.

STEP 3

Now, let's examine the next statement:(8×5)+2=42(8 \times 5) + 2 = 42(8×5)+2=42This statement is also correct as it follows from the first multiplication fact:40+2=4240 + 2 = 4240+2=42

STEP 4

Finally, let's look at the division statement:42÷5=8R542 \div 5 = 8 R 542÷5=8R5This is where the error lies. When we divide 42 by 5, the remainder must be less than the divisor, which is 5 in this case.

STEP 5

To find the correct remainder, we subtract the product of the quotient and the divisor from the original number:Remainder=42−(8×5)Remainder = 42 - (8 \times 5)Remainder=42−(8×5)

STEP 6

Calculate the remainder:Remainder=42−40=2Remainder = 42 - 40 = 2Remainder=42−40=2

STEP 7

Now we can write the correct division statement:42÷5=8R242 \div 5 = 8 R 242÷5=8R2The correct quotient is 8 and the remainder is 2, not 5.

STEP 8

Therefore, the corrected math is:42÷58×5=409×5=45(8×5)+2=4242÷5=8R2 \begin{array}{c} 42 \div 5 \\ 8 \times 5=40 \\ 9 \times 5=45 \\ (8 \times 5)+2=42 \\ 42 \div 5=8 R 2 \end{array} 42÷58×5=409×5=45(8×5)+2=4242÷5=8R2​

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the error in the math operations and provide the correct solution. $42 \div 5, 8 \times 5=40, 9 \times 5=45, (8 \times 5)+2=42, 42 \div 5=8 R 5$

Assumptions
1. We are performing a division operation: $42 \div 5$ .
2. We are using long division to find the quotient and the remainder.
3. We are checking the multiplication facts to find the closest multiples of 5 to 42.
4. We are looking for an error in the given mathematical statements.

First, let's verify the multiplication facts given:
$8 \times 5 = 40$ $9 \times 5 = 45$
These statements are correct as they are basic multiplication facts.

Now, let's examine the next statement:
$(8 \times 5) + 2 = 42$
This statement is also correct as it follows from the first multiplication fact:
$40 + 2 = 42$

Finally, let's look at the division statement:
$42 \div 5 = 8 R 5$
This is where the error lies. When we divide 42 by 5, the remainder must be less than the divisor, which is 5 in this case.

To find the correct remainder, we subtract the product of the quotient and the divisor from the original number:
$Remainder = 42 - (8 \times 5)$

Calculate the remainder:
$Remainder = 42 - 40 = 2$

Now we can write the correct division statement:
$42 \div 5 = 8 R 2$
The correct quotient is 8 and the remainder is 2, not 5.

Therefore, the corrected math is:
$\begin{array}{c} 42 \div 5 \\ 8 \times 5=40 \\ 9 \times 5=45 \\ (8 \times 5)+2=42 \\ 42 \div 5=8 R 2 \end{array}$