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Strategies to Add and Subtract Rationals - Instruction - Level G
Which equation matches the number line?

-2+(-(1)/(4))=-2(1)/(4)

-2+(1)/(4)=-1(3)/(4)

-2+(3)/(4)=-1(1)/(4)

-2+(-(3)/(4))=2(3)/(4)

i-Ready $\newline$ Strategies to Add and Subtract Rationals - Instruction - Level G $\newline$ Which equation matches the number line? $\newline$ $-2+\left(-\frac{1}{4}\right)=-2 \frac{1}{4}$ $\newline$ $-2+\frac{1}{4}=-1 \frac{3}{4}$ $\newline$ $-2+\frac{3}{4}=-1 \frac{1}{4}$ $\newline$ $-2+\left(-\frac{3}{4}\right)=2 \frac{3}{4}$

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Full solution

Q. i-Ready

\newline

Strategies to Add and Subtract Rationals - Instruction - Level G

\newline

Which equation matches the number line?

\newline

-2+\left(-\frac{1}{4}\right)=-2 \frac{1}{4}

\newline

-2+\frac{1}{4}=-1 \frac{3}{4}

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-2+\frac{3}{4}=-1 \frac{1}{4}

\newline

-2+\left(-\frac{3}{4}\right)=2 \frac{3}{4}

Number Line Explanation: First, let's look at the number line and see where it starts and ends. $\newline$ It starts at $-2$ and moves to the left if we're adding a negative number or to the right if we're adding a positive number.
First Option Analysis: Now let's check each option. $\newline$ For the first option: $-2 + (-(\frac{1}{4})) = -2\frac{1}{4}$ $\newline$ This means we're moving $\frac{1}{4}$ to the left from $-2$ on the number line.
Second Option Analysis: For the second option: $-2 + \left(\frac{1}{4}\right) = -1\left(\frac{3}{4}\right)$ $\newline$ This means we're moving $\frac{1}{4}$ to the right from $-2$ on the number line.
Third Option Analysis: For the third option: $-2 + \left(\frac{3}{4}\right) = -1\left(\frac{1}{4}\right)$ $\newline$ This means we're moving $\frac{3}{4}$ to the right from $-2$ on the number line.
Fourth Option Analysis: For the fourth option: $-2 + (-(\frac{3}{4})) = 2(\frac{3}{4})$ $\newline$ This is incorrect because adding a negative number to $-2$ should result in a number less than $-2$ , not a positive number.

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