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5.3(G) solve for quotients of decimals to the hundredths, up to four-digit dividonds and wo-digit wholes umber divisors, using strategies and algorithms, including the standard algorithm

021-024
24 Gwen had a board that was 6.48 meters long. She cut the board into 9 pleces of equal length.
What was the length of each plece in meters?
F
6.39m
e
0.61m
H
6.08m
3
0.72m

$5$ . $3$ (G) solve for quotients of decimals to the hundredths, up to four-digit dividonds and wo-digit wholes umber divisors, using strategies and algorithms, including the standard algorithm $\newline$ $021-024$ $\newline$ $24$ Gwen had a board that was $6$ . $48$ meters long. She cut the board into $9$ pleces of equal length. $\newline$ What was the length of each plece in meters? $\newline$ F $6.39 \mathrm{~m}$ $\newline$ e $0.61 \mathrm{~m}$ $\newline$ H $6.08 \mathrm{~m}$ $\newline$ $3$ $0.72 \mathrm{~m}$

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Interpret measures of center and variability

Full solution

Q.

5

.

3

(G) solve for quotients of decimals to the hundredths, up to four-digit dividonds and wo-digit wholes umber divisors, using strategies and algorithms, including the standard algorithm

\newline

021-024

\newline

24

Gwen had a board that was

6

.

48

meters long. She cut the board into

9

pleces of equal length.

\newline

What was the length of each plece in meters?

\newline

F

6.39 \mathrm{~m}

\newline

e

0.61 \mathrm{~m}

\newline

H

6.08 \mathrm{~m}

\newline

3

0.72 \mathrm{~m}

Understand the problem: Understand the problem. $\newline$ We need to divide the length of the board, which is $6.48$ meters, by the number of pieces, which is $9$ , to find the length of each piece.
Set up division: Set up the division problem. $\newline$ We will divide $6.48$ by $9$ to find the length of each piece. $\newline$ $6.48 \div 9$
Perform division: Perform the division using the standard algorithm. $\newline$ To divide a decimal by a whole number, we can start by setting up the division as if we were dividing whole numbers and then place the decimal point in the quotient directly above where it appears in the dividend. $\newline$ $0.72$ $\newline$ ------ $\newline$ $9 | 6.48$ $\newline$ - $54$ $\newline$ ---- $\newline$ $128$ $\newline$ - $126$ $\newline$ ---- $\newline$ $20$ $\newline$ Since $9$ goes into $64$ seven times ( $9 \times 7 = 63$ ), we write $7$ in the quotient, subtract $9 | 6.48$ $0$ from $64$ to get $9 | 6.48$ $2$ , bring down the $9 | 6.48$ $3$ to make $9 | 6.48$ $4$ . Then, $9$ goes into $9 | 6.48$ $4$ two times ( $9 | 6.48$ $7$ ), so we write $9 | 6.48$ $8$ in the quotient. The remainder is $9 | 6.48$ $9$ , so we have finished the division.

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