Question

multiply 3 - digit and 4 - digit numbers
solve. show your work.
1 a square city block has a side length of 563 yards. what is the perimeter of the block?
estimate. then find the product.
2 estimate: 923×2
3 estimate: 923×4
4 estimate: 5,715×7
5 a landscaper uses 754 gallons of water each week for a local park. estimate the amount of water the landscaper will use in 4 weeks. then find the amount of water used. show your work.
estimate. then write the problem vertically and find the product.
6 estimate: 3×754
7 estimate: 5×6,821
8 estimate: 9×4,932
stem it takes jupiter approximately 4,330 earth days to revolve around the sun one time. how many earth days does it take jupiter to revolve around the sun 5 times? show your work.

Explanation:

Step1: Recall perimeter formula for square

The perimeter $P$ of a square is given by $P = 4s$, where $s$ is the side - length.

Step2: Substitute side - length value

Given $s = 563$ yards. So $P=4\times563$.

Step3: Calculate the product

$4\times563=(4\times500)+(4\times60)+(4\times3)=2000 + 240+12=2252$ yards.

for estimating and finding product of $923\times2$:

Step1: Estimate

Round 923 to 900. Then $900\times2 = 1800$.

Step2: Calculate the actual product

$923\times2=(900\times2)+(20\times2)+(3\times2)=1800 + 40+6=1846$.

for estimating and finding product of $923\times4$:

Step1: Estimate

Round 923 to 900. Then $900\times4 = 3600$.

Step2: Calculate the actual product

$923\times4=(900\times4)+(20\times4)+(3\times4)=3600+80 + 12=3692$.

for estimating and finding product of $5715\times7$:

Step1: Estimate

Round 5715 to 6000. Then $6000\times7=42000$.

Step2: Calculate the actual product

$5715\times7=(5000\times7)+(700\times7)+(10\times7)+(5\times7)=35000+4900 + 70+35=40005$.

Answer:

2252 yards