Math  /  Numbers & Operations

QuestionLook at the number line below. What are the two missing numbers?

Studdy Solution

STEP 1

1. The number line is linear, and numbers increase from left to right.
2. The known number on the number line is 11.
3. The arrow labeled "+4" indicates a movement of 4 units to the right from the left missing number to reach 1.
4. The arrow labeled "+10" indicates a movement of 10 units to the right from 1 to reach the right missing number.

STEP 2

1. Determine the left missing number.
2. Determine the right missing number.

STEP 3

To find the left missing number, recognize that moving 4 units to the right from this number results in the number 1.

STEP 4

Set up the equation for the left missing number:
Let the left missing number be x x . Then:
x+4=1 x + 4 = 1

STEP 5

Solve for x x by subtracting 4 from both sides:
x+44=14 x + 4 - 4 = 1 - 4 x=3 x = -3

STEP 6

To find the right missing number, recognize that moving 10 units to the right from the number 1 results in this number.

STEP 7

Set up the equation for the right missing number:
Let the right missing number be y y . Then:
1+10=y 1 + 10 = y

STEP 8

Solve for y y by adding 10 to 1:
y=1+10 y = 1 + 10 y=11 y = 11
The two missing numbers on the number line are:
3 and 11\boxed{-3 \text{ and } 11}

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