Math / Numbers & Operations

Question (4) measang thamee subtraction problems into addition problems as a first step. b. $-2+4$ c. $3-(-4)$ d. $-1-(-5)$
3. Modet the following problems using a number line and record your answer. Remember that the arrow's direction indicates

Studdy Solution

STEP 1

1. To solve each subtraction problem, we will first convert it into an equivalent addition problem.
2. We need to use the properties of integers and the rules of arithmetic to find the solutions.
3. Finally, we will use a number line to visualize and verify the results of the arithmetic operations.

STEP 2

1. Convert each subtraction problem into an equivalent addition problem.
2. Solve the resulting addition problem.
3. Model each problem using a number line to verify the answer.

STEP 3

Convert the first problem $-2 + 4$ into an addition problem. This problem is already in addition form.

STEP 4

Solve the first problem $-2 + 4$ .
$-2 + 4 = 2$

STEP 5

Model $-2 + 4$ using a number line. Start at -2 and move 4 units to the right.
$\begin{array}{ccccccccccc} & & & & & & & \uparrow & & & \\ -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \end{array}$
The arrow starts at -2 and ends at 2, confirming the result is 2.

STEP 6

Convert the second problem $3 - (-4)$ into an addition problem.
$3 - (-4) = 3 + 4$

STEP 7

Solve the second problem $3 + 4$ .
$3 + 4 = 7$

STEP 8

Model $3 + 4$ using a number line. Start at 3 and move 4 units to the right.
$\begin{array}{ccccccccccccccc} & & & & & & & & & & & & & \uparrow & \\ -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \end{array}$
The arrow starts at 3 and ends at 7, confirming the result is 7.

STEP 9

Convert the third problem $-1 - (-5)$ into an addition problem.
$-1 - (-5) = -1 + 5$

STEP 10

Solve the third problem $-1 + 5$ .
$-1 + 5 = 4$

STEP 11

Model $-1 + 5$ using a number line. Start at -1 and move 5 units to the right.
$\begin{array}{ccccccccccc} & & & & & & & \uparrow & & & \\ -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \end{array}$
The arrow starts at -1 and ends at 4, confirming the result is 4.
Solution Summary: - $-2 + 4 = 2$ - $3 - (-4) = 7$ - $-1 - (-5) = 4$

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Question (4) measang thamee subtraction problems into addition problems as a first step. b. $-2+4$ c. $3-(-4)$ d. $-1-(-5)$
3. Modet the following problems using a number line and record your answer. Remember that the arrow's direction indicates

Studdy Solution

STEP 1

1. To solve each subtraction problem, we will first convert it into an equivalent addition problem.
2. We need to use the properties of integers and the rules of arithmetic to find the solutions.
3. Finally, we will use a number line to visualize and verify the results of the arithmetic operations.

STEP 2

1. Convert each subtraction problem into an equivalent addition problem.
2. Solve the resulting addition problem.
3. Model each problem using a number line to verify the answer.

STEP 3

Convert the first problem $-2 + 4$ into an addition problem. This problem is already in addition form.

STEP 4

Solve the first problem $-2 + 4$ .
$-2 + 4 = 2$

STEP 5

Model $-2 + 4$ using a number line. Start at -2 and move 4 units to the right.
$\begin{array}{ccccccccccc} & & & & & & & \uparrow & & & \\ -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \end{array}$
The arrow starts at -2 and ends at 2, confirming the result is 2.

STEP 6

Convert the second problem $3 - (-4)$ into an addition problem.
$3 - (-4) = 3 + 4$

STEP 7

Solve the second problem $3 + 4$ .
$3 + 4 = 7$

STEP 8

Model $3 + 4$ using a number line. Start at 3 and move 4 units to the right.
$\begin{array}{ccccccccccccccc} & & & & & & & & & & & & & \uparrow & \\ -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \end{array}$
The arrow starts at 3 and ends at 7, confirming the result is 7.

STEP 9

Convert the third problem $-1 - (-5)$ into an addition problem.
$-1 - (-5) = -1 + 5$

STEP 10

Solve the third problem $-1 + 5$ .
$-1 + 5 = 4$

STEP 11

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Question (4) measang thamee subtraction problems into addition problems as a first step. b. −2+4-2+4−2+4 c. 3−(−4)3-(-4)3−(−4) d. −1−(−5)-1-(-5)−1−(−5)3. Modet the following problems using a number line and record your answer. Remember that the arrow's direction indicates

Studdy Solution

STEP 1

1. To solve each subtraction problem, we will first convert it into an equivalent addition problem.2. We need to use the properties of integers and the rules of arithmetic to find the solutions.3. Finally, we will use a number line to visualize and verify the results of the arithmetic operations.

STEP 2

1. Convert each subtraction problem into an equivalent addition problem.2. Solve the resulting addition problem.3. Model each problem using a number line to verify the answer.

STEP 3

Convert the first problem −2+4 -2 + 4 −2+4 into an addition problem. This problem is already in addition form.

STEP 4

Solve the first problem −2+4 -2 + 4 −2+4.−2+4=2 -2 + 4 = 2 −2+4=2

STEP 5

STEP 6

Convert the second problem 3−(−4) 3 - (-4) 3−(−4) into an addition problem. 3−(−4)=3+4 3 - (-4) = 3 + 4 3−(−4)=3+4

STEP 7

Solve the second problem 3+4 3 + 4 3+4.3+4=7 3 + 4 = 7 3+4=7

STEP 8

STEP 9

Convert the third problem −1−(−5) -1 - (-5) −1−(−5) into an addition problem.−1−(−5)=−1+5 -1 - (-5) = -1 + 5 −1−(−5)=−1+5

STEP 10

Solve the third problem −1+5 -1 + 5 −1+5.−1+5=4 -1 + 5 = 4 −1+5=4

STEP 11

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Studdy solves anything!

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Question (4) measang thamee subtraction problems into addition problems as a first step. b. $-2+4$ c. $3-(-4)$ d. $-1-(-5)$
3. Modet the following problems using a number line and record your answer. Remember that the arrow's direction indicates

1. To solve each subtraction problem, we will first convert it into an equivalent addition problem.
2. We need to use the properties of integers and the rules of arithmetic to find the solutions.
3. Finally, we will use a number line to visualize and verify the results of the arithmetic operations.

1. Convert each subtraction problem into an equivalent addition problem.
2. Solve the resulting addition problem.
3. Model each problem using a number line to verify the answer.

Convert the first problem $-2 + 4$ into an addition problem. This problem is already in addition form.

Solve the first problem $-2 + 4$ .
$-2 + 4 = 2$

Convert the second problem $3 - (-4)$ into an addition problem.
$3 - (-4) = 3 + 4$

Solve the second problem $3 + 4$ .
$3 + 4 = 7$

Convert the third problem $-1 - (-5)$ into an addition problem.
$-1 - (-5) = -1 + 5$

Solve the third problem $-1 + 5$ .
$-1 + 5 = 4$