Subtraction: Complete the missing numbers

To solve the equation $55 - \Box = 28$ using a number line, start at 55 and jump to 50, an easy anchor point, requiring a jump of 5 units.

Next, move from 50 to 28, which requires a further jump of 22 units.

Adding these jumps, $5 + 22$, gives us the total jump needed from 55 to reach 28. Therefore, $\Box = 27$.

Thus, the solution to the problem is $\Box = 27$, which corresponds to the answer choice:

$27$

To solve the subtraction problem $78 - \Box = 44$ using two jumps on a number line, we'll proceed as follows:

• Step 1: Start at 78 on the number line.
• Step 2: Make the first jump to the next convenient round number, which is 70 (as it simplifies the calculation).
• Step 3: Calculate this first jump as $78 - 70 = 8$.
• Step 4: Make the second jump from 70 directly to 44 (the target number).
• Step 5: Calculate this second jump as $70 - 44 = 26$.
• Step 6: Add the two jumps together: $8 + 26 = 34$.

Therefore, the missing number that satisfies $78 - \Box = 44$ is $\Box = 34$.

To solve the problem $15 - \Box = 9$ using two jumps on a number line, we need to break down this subtraction into simpler parts.

If we think of the subtraction using two jumps, one effective strategy is:

• First, subtract 5 from 15 to reach the intermediate round number, 10: $15 - 5 = 10$.
• Second, subtract from the intermediate number, 10, to reach the target, 9: $10 - 1 = 9$.

Adding both jumps together, $5 + 1 = 6$. Thus, the missing number in the original expression is $6$.

The final solution to the problem is $\Box = 6$.

To solve this subtraction exercise, we will use two jumps on the number line:

• Step 1: Start at 34 and make the first jump to the nearest round number, which is 30. This jump represents subtracting 4 from 34, so $34 - 4 = 30$.
• Step 2: From 30, make the second jump to 26. This jump represents subtracting another 4, so $30 - 4 = 26$.
• Now, adding the two jumps: $4 + 4 = 8$.

Therefore, the value in the equation $34 - \Box = 26$ is $8$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the problem as requiring the unknown number such that $46 - \Box = 39$.
• Step 2: Choose the nearest higher round number above 39, which is 40.
• Step 3: Calculate the number for the first jump from 46 to 40.
• Step 4: Calculate the second jump from 40 to 39.
• Step 5: Add the values of both jumps to determine $\Box$.

Now, let's work through each step:

Step 1: We start at 46 and the subtraction ends at 39, making $46 - \Box = 39$.

Step 2: The first jump brings us to the nearest round number, 40.

Step 3: The value of this first jump is $46 - 40 = 6$.

Step 4: The second jump brings us from 40 to 39, which is $40 - 39 = 1$.

Step 5: Adding both jumps, $6 + 1 = 7$.

Therefore, the solution to the problem is $\Box = 7$.

To solve the problem $43 - \Box = 17$ using a number line with two jumps, follow these steps:

• Step 1: Start at 43 on the number line.
• Step 2: Make the first jump to the nearest round number, which is 40. Thus, the first jump is $43 - 40 = 3$.
• Step 3: From 40, make another jump to reach 17. Thus, the second jump is $40 - 17 = 23$.
• Step 4: Now, add the two jumps: $3 + 23 = 26$.

Therefore, the value of the missing number is $\Box = 26$.

Let's solve the problem step by step.

The problem is to find the number to subtract from 74 so that the result is 38, using two jumps on a number line.

We start at 74 and need to end at 38. To do this efficiently and using the number line strategy, we break it down into two jumps:

• First, consider an easy first jump to a round number from 74. The nearest round number less than 74 is 70.
  This first jump is from 74 to 70, which is a jump of $74 - 70 = 4$.
• Now, from 70, we need to reach the desired 38. Calculate the second jump: $70 - 38 = 32$.

By making these two jumps, we have:

• First jump: 74 to 70, subtracting 4.
• Second jump: 70 to 38, subtracting 32.

Adding the two jumps: $4 + 32 = 36$.

Therefore, the solution to $74 - \Box = 38$ is $\Box = 36$.

The correct choice from the options provided is 36.

In conclusion, the missing number in the subtraction is $\Box = 36$.

To solve $95 - \Box = 87$, we will use the number line, making two jumps from 95 to 87.

First, identify the numbers on the number line:

• Start at: 95
• End at: 87

Step 1: Make the first jump to the next round number below 95, which is 90. Calculate this jump:

• Jump from 95 to 90: $95 - 90 = 5$

Step 2: Make the second jump from 90 to 87. Calculate this jump:

• Jump from 90 to 87: $90 - 87 = 3$

Add the two jumps together to find the total subtraction:

• Total subtraction: $5 + 3 = 8$

Therefore, the missing number is $\Box = 8$.

The correct answer is $8$.

To solve the subtraction $82 - \Box = 78$ using jumps on a number line, follow these steps:

• Step 1: Start at the number 82 on the number line.
• Step 2: Make the first small jump down to 80, the closest round number below 82.
• Step 3: Calculate the size of this jump. The jump from 82 to 80 is 82 - 80 = 2.
• Step 4: From 80, make a second jump down to 78.
• Step 5: Calculate the size of this second jump. The jump from 80 to 78 is 80 - 78 = 2.
• Step 6: Add the sizes of both jumps to determine the total subtracted value: 2 + 2 = 4.

Therefore, the value of $\Box$ in the subtraction problem $82 - \Box = 78$ is $4$.