Week 7 Math: Decimal Multiplication

Last updated over 5 years ago
10 questions
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When you multiply 24.6 by 100, each of the numbers shifts two place values to the left.

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Curly mutliplies 34.02 by 1,000 and explains his work in the paragraph below.

When you mulitply by powers of ten you only have to add zeros to the end of the number. The number of zeros you add is equal to the number of zeros in the number. 1,000 has three zeros so I add three zeros to the number.

So 34.02 x 1000 = 34.02000

What is the error in Curly's thinking?

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Solve:

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Curly solves the problem above and he does the work below:
Step one: 346 x 2 = 692
Step two: 346 x 10 = 3460
Step three: 692 + 3460 = 4152
Step four: I need to place the decimal in the problem.
Since both numbers are to the thousandths place the answer is to the thousandths place.
4.152 is my final answer.

What error did Curly make in his reasoning?