Question

Mid chapter checkpoint 5th grade chapter 2 writing questions

Answer 1

Estimation simply means an approximated value.

• Estimation gives the range of the first digit of the quotient
• Multiplication is the inverse of division.
• $663 \div 3 = 112$.
• $487 \div 8 = 60\ R\ 7$.
• $1641 \div 4 = 410\ R\ 1$.
• $2765 \div 9 = 307\ R\ 2$

Estimation in whole-number quotient

A whole number quotient is represented as:

$\frac ab = c$

Where:

$a,b, c \to$ whole numbers

When the numbers are estimated, one would get the idea of the range of values the first digit can assume.

Take for instance:

$\frac{117}{3}$

117 can be estimated as 120. So, we have:

$\frac{117}{3} \approx \frac{120}{3}$

120 divided by 3 is 40.

The first digit of 120 divided by 3 is 4.

So, estimating 117 as 120 makes us know that the first digit of 117 divided by 3 would either be 4 or less.

(b) Multiplication in division problem

Multiplication and division are both inverse operations.

So, multiplication is used to check the dividend of the division problem.

Take for instance:

$\frac{117}{3} = 39$

If the above division is correct, then 39 multiplied by 3 must be 117 i.e.

$39 \times 3 = 117$

$(c)\ 663 \div 3$

Start by dividing the first 6 by 3

$663 \div 3 \to 1$

Divide the next 6 by 3

$663 \div 3 \to 11$

Divide the last 3 by 3

$663 \div 3 = 112$

$(d)\ 487 \div 8$

Divide 4 by 8

$487 \div 8 \to 0$

Since the result is 0 and 4 is not the last digit, we then try 48.

Divide 48 by 8

$487 \div 8 \to 06$

Divide 7 by 8.

$487 \div 8 \to 060$

7 is less than 8; this means that 8 cannot divide 7.

So, we write 7 as the remainder

$487 \div 8 = 060\ R\ 7$

Remove the leading 0

$487 \div 8 = 60 R 7$

$(e)\ 1641 \div 4$

Divide 1 by 4

$1641 \div 4 \to 0$

Divide 16 by 4

$1641 \div 4 \to 04$

Divide 4 by 4

$1641 \div 4 \to 041$

Divide 1 by 4

$1641 \div 4 \to0410$

1 is less than 4; this means that 8 cannot divide 1.

So, we write 1 as the remainder

$1641 \div 4 \to 0410\ R\ 1$

Remove the leading 0

$1641 \div 4 = 410\ R\ 1$

$(f)\ 2765 \div 9$

Divide 2 by 9

$2765 \div 9 \to 0$

Divide 27 by 9

$2765 \div 9 \to 03$

Divide 6 by 9

$2765 \div 9 \to 030$

6 is less than 9; this means that 9 cannot divide 6.

So, the next division will be 65 by 9

$2765 \div 9 \to 0307$

9 divides 63 in 7 places, with a remainder of 2.

So, we have:

$2765 \div 9 = 0307 R 2$

Remove the leading 0

$2765 \div 9 = 307 R 2$

Read more about division and multiplications at:

brainly.com/question/19928607