Question

Maggie's favorite salad dressing is made with 0.04 liter of vinegar and 0.4 liter of olive oil.She compares the value of the 4 in each amount.Which statement is true? 1:the value of the 4 in 0.04 is 100 times the value of the 4 in 0.4. 2:the value of the 4 in 0.04 is 10 times the value in of the 4 in 0.4. 3:the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10. 4:the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 100

Answer 1

3:the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.

Explanation:

This is because in decimal places, we have what is called place value. In a decimal number after the decimal point, each number place is divided by an increasing power of 10. So, for example, if we have a decimal number 0.82, the place value of the 8 is 8/10 while that of the 2 is 2/10² = 2/100.

So, in the given numbers, 0.04 has a place value of 4/100 and 0.4 has a place value of 4/10. So, we can see that 4/100 = 4/10 ÷ 10 = 4/10 × 1/10.

So, the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.