Question

1. baxter uses his box as a bed. what is the volume of baxters box?

volume =
this box is 15 in. deep.
14 in.
12 in.
baxter

1. true or false?

8×(3/4)=24/4=6 true false
10×(5/7)=50/70 true false
7×(2/5)=14/5=3 true false
9×(2/3)=18/3=6 true false

1. mental math

try to solve these in your head. then write the answer.
2 quarters + 3 dimes = ___¢
4 quarters - 2 dimes = ___¢
10 quarters - 7 quarters = ___¢

1. solve.

68×10=___
68×10⁴=___
68×10³=___
68×10²=___

1. ben measured the tails of 3 cats. this table shows his measurements.

cat	length of tail
charlie	12⅔ in.
tiger	10¼ in.

a) which cat has the longest tail? ___
b) how much longer is maxs tail than tigers tail? ___
c) put the names of the cats in order from shortest tail to longest tail.
_ (name of cat) _ (name of cat) ___ (name of cat)
max
charlie
tiger

Explanation:

Step1: Calculate box volume

Volume = length × width × depth = 14×12×15 = 2520

Step2: Check true/false statements

1. $8×\frac{3}{4}=6$: True
2. $10×\frac{5}{7}=\frac{50}{7}≠\frac{50}{70}$: False
3. $7×\frac{2}{5}=\frac{14}{5}=2.8≠3$: False
4. $9×\frac{2}{3}=6$: True

Step3: Solve mental math

1. 2×25 + 3×10 = 80
2. 4×25 - 2×10 = 80
3. (10-7)×25 = 75

Step4: Solve 68×10^n

1. $68×10=680$
2. $68×10^4=680000$
3. $68×10^3=68000$
4. $68×10^2=6800$

Step5: Analyze tail lengths

a. Compare $12\frac{1}{2}=12.5$, $12\frac{2}{3}≈12.67$, $10\frac{1}{4}=10.25$: Charlie
b. $12.5 - 10.25=2.25=2\frac{1}{4}$
c. Order: Tiger < Max < Charlie

Answer:

1. 2520
2. True, False, False, True
3. 80, 80, 75
4. 680, 680000, 68000, 6800

5a. Charlie
5b. $2\frac{1}{4}$
5c. Tiger, Max, Charlie