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Answer :
Answer: 15.625
Step-by-step explanation:
Step 1: Rewrite the Numbers
We have:
2.5×6.25
2.5×6.25
Since these are decimals, we'll temporarily ignore the decimal points and treat them as whole numbers.
2.5 becomes 25 (by multiplying by 10).
6.25 becomes 625 (by multiplying by 100).
So instead of 2.5×6.252.5×6.25, we temporarily calculate:
25×625
25×625
Step 2: Multiply as Whole Numbers
Now, let's multiply:
25×625
25×625
Break it down:
25×(600+25)=(25×600)+(25×25)
25×(600+25)=(25×600)+(25×25)
25×600=15,00025×600=15,000
25×25=62525×25=625
Adding them together:
15,000+625=15,625
15,000+625=15,625
Step 3: Adjust for the Decimals
Since we originally removed decimal points:
2.52.5 has one decimal place (divided by 10).
6.256.25 has two decimal places (divided by 100).
Total decimal places: 3 (1 + 2 = 3).
So, we move the decimal three places to the left in 15,625:
15.625
15.625
Final Answer:
2.5×6.25=15.625
2.5×6.25=15.625
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