Question

remember
for problems 11-14, subtract.

1. $8,362 - 6,425$
2. $46,334 - 5,421$
3. $74,902 - 6,134$
4. $52,856 - 15,262$

1. which equations are true? choose all that apply.

a. $|1.25| = |-1.25|$
b. $|1.25| = -1.25$
c. $|-1.25| = 1.25$
d. $|-1.25| = -1.25$
e. $|1.25| = 1.25$

1. kelly wants to outline the perimeter of her rectangular poster with tape. she needs 2 pieces of tape that each measure 54 centimeters and 2 pieces that each measure 72 centimeters. kelly has 2.5 meters of tape. does she have enough tape to outline the perimeter of the poster? explain.

Explanation:

Step1: Solve subtraction 11

$8,362 - 6,425 = 1,937$

Step2: Solve subtraction 12

$46,334 - 5,421 = 40,913$

Step3: Solve subtraction 13

$74,802 - 6,134 = 68,668$

Step4: Solve subtraction 14

$52,856 - 15,262 = 37,594$

Step5: Evaluate absolute value equations

Recall $|x|=x$ if $x\geq0$, $|x|=-x$ if $x<0$:

• A: $|1.25|=1.25$, $|-1.25|=1.25$, so $1.25=1.25$ (true)
• B: $|1.25|=1.25

eq-1.25$ (false)

• C: $|-1.25|=1.25$ (true)
• D: $|-1.25|=1.25

eq-1.25$ (false)

• E: $|1.25|=1.25$ (true)

Step6: Calculate total tape needed

Total tape = $2\times54 + 2\times72 = 108 + 144 = 252$ cm

Step7: Convert units and compare

$2.5$ meters = $2.5\times100 = 250$ cm. $252>250$

Answer:

1. $1,937$
2. $40,913$
3. $68,668$
4. $37,594$
5. A. $|1.25| = |-1.25|$, C. $|-1.25| = 1.25$, E. $|1.25| = 1.25$
6. No, she does not have enough tape. The total perimeter requires 252 centimeters of tape, but she only has 250 centimeters (2.5 meters) of tape, which is less than the required amount.