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Jelani says that 1.4×10,000 can also be written as 14×1,000. Is he correct? Justify your answer.

1 Answer

3 votes

Final answer:

Jelani is correct; 1.4 multiplied by 10,000 is equivalent to 14 multiplied by 1,000, with both resulting in 14,000 due to the commutative property of multiplication.

Step-by-step explanation:

Jelani is correct that 1.4×10,000 can also be written as 14×1,000. The key to understanding this is the concept of multiplying and dividing by tens. When you multiply 1.4 (which has two significant figures) by 10,000, you are effectively moving the decimal point four places to the right, resulting in 14,000. This can be done in two steps: first, multiply 1.4 by 10 to achieve 14 (still with two significant figures) and then multiply by 1,000 to move the decimal three more places, which gives us 14,000. Both operations lead to the same result because multiplication is commutative.

answered
User Seraph Wedd
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