Question

daily math practice tuesday 6

1. 7,125 - 493 =
2. $\frac{2.5}{- 0.29}$
3. when you write $1.35, what does the decimal point mean?
4. what place - value does the 5 have in 13,542?
5. colin and his sister cathy are cleaning their house on saturday morning. their house has nine rooms in it. they figure it takes one person about 8 minutes to clean one room. how long will it take them to clean the whole house if they work together the whole time?

Explanation:

Step1: Subtract 493 from 7125

$7125 - 493=6632$

Step2: Subtract 0.29 from 2.5

$2.5- 0.29 = 2.21$

Step3: Explain decimal - point meaning

The decimal point in $1.35$ separates the whole - number part (1) from the fractional part. The digits to the right of the decimal point represent parts of a whole. In $1.35$, 0.3 is $\frac{3}{10}$ and 0.05 is $\frac{5}{100}$.

Step4: Determine place - value

In the number 13,542, the digit 5 is in the hundreds place, so its place - value is 500.

Step5: Calculate cleaning time

One person takes 8 minutes to clean one room. The house has 9 rooms, so one person would take $8\times9 = 72$ minutes to clean the whole house. Since two people are working together, the time taken is $\frac{72}{2}=36$ minutes.

Answer:

1. 6632
2. 2.21
3. Separates whole - number and fractional parts.
4. 500
5. 36 minutes