Ted is asked to multiply [tex]10^2 \times 18.72[/tex]. How should he move the decimal point to get the correct product?

1. 10^2= 100 (10^2 means 10 10, which equals 100. For example 10^3 means 10 10 10= 1000) 2. 100 18.72=1,872.0 (The decimal needs to be moved 2 times to the right because the number is increasing by 100x).

Answered by Brooklyn14 | 2024-06-10

Ted should move the decimal point in 18.72 two places to the right, resulting in 1872, as 1 0 2 is equivalent to 100.
Ted is asked to multiply 1 0 2 ∗ 18.72 . To do this, we can use a shortcut method that involves moving the decimal point to get the correct product. Since we are multiplying by 1 0 2 , which is 100, we need to move the decimal point in 18.72 two places to the right. This is because 100 has two zeros, and so the decimal movement corresponds to the number of zeros in the power of ten.
The product would be as follows: 18.72 ∗ 1 0 2 = 18.72 ∗ 100 = 1872.
This shortcut is useful in many fields, especially in the sciences, for quickly multiplying decimals by powers of ten without extensive manual calculation.

Answered by Adella123 | 2024-06-24

To multiply 1 0 2 × 18.72 , first understand that 1 0 2 = 100 . When multiplying by 100, move the decimal point in 18.72 two places to the right, resulting in 1,872.0, which is the correct product.
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Answered by Brooklyn14 | 2024-10-31