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10. multiply 45.32 × 23.18. (lesson 1)

Question

  1. multiply 45.32 × 23.18. (lesson 1)

Explanation:

Step1: Multiply as whole - numbers

$4532\times2318 = 4532\times(2000 + 300+10 + 8)=4532\times2000+4532\times300+4532\times10+4532\times8$
$4532\times2000 = 9064000$, $4532\times300=1359600$, $4532\times10 = 45320$, $4532\times8=36256$
$9064000+1359600 + 45320+36256=10465176$

Step2: Consider decimal - places

The first number 45.32 has 2 decimal - places and the second number 23.18 has 2 decimal - places. So in total, there are 4 decimal - places.
Move the decimal - point 4 places to the left in 10465176.

Answer:

1046.5176