Evaluate: 104.5 ×10 Answer:

Understand the operation: Understand the operation. We need to multiply 104.5 by 10. Multiplying by 10 is straightforward because it essentially shifts the decimal point one place to the right.Perform the multiplication: Perform the multiplication. 104.5 × 10 = 1045 We move the decimal one place to the right because we are multiplying by 10.Verify the result: Verify the result. When multiplying by 10, the number of decimal places decreases by one, or in the case of a number with one decimal place, the decimal point is removed. The original number 104.5 has one decimal place, so after multiplying by 10, it should have none, which is correct in our result, 1045.

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Math Problems

Grade 6

Multiply and divide decimals by powers of ten

Full solution

Q. Evaluate:

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104.5 \times 10

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Answer:

Understand the operation: Understand the operation. $\newline$ We need to multiply $104.5$ by $10$ . Multiplying by $10$ is straightforward because it essentially shifts the decimal point one place to the right.
Perform the multiplication: Perform the multiplication. $104.5 \times 10 = 1045$ We move the decimal one place to the right because we are multiplying by $10$ .
Verify the result: Verify the result. $\newline$ When multiplying by $10$ , the number of decimal places decreases by one, or in the case of a number with one decimal place, the decimal point is removed. The original number $104.5$ has one decimal place, so after multiplying by $10$ , it should have none, which is correct in our result, $1045$ .