To find out how many deciliters are in 252 decaliters and express this value in scientific notation, follow these steps:
1. Understand the Conversion:
- The conversion factor between decaliters (daL) and deciliters (dL) is important. Specifically, 1 decaliter is equivalent to 100 deciliters. This is because:
[tex]\[
1 \text{ daL} = 100 \text{ dL}
\][/tex]
2. Perform the Conversion:
- To convert 252 decaliters to deciliters, you multiply by the conversion factor of 100.
[tex]\[
252 \text{ daL} \times 100 \text{ dL/daL} = 25200 \text{ dL}
\][/tex]
3. Expressing in Scientific Notation:
- To write 25200 in scientific notation, you first write it as a number between 1 and 10 multiplied by a power of 10.
- 25200 can be written as:
[tex]\[
25200 = 2.52 \times 10^4
\][/tex]
- However, to match the requirement of the coefficient in the green blank and the exponent in the yellow blank, we'll adjust this:
[tex]\[
25200 = 252.0 \times 10^2
\][/tex]
So, the coefficient and exponent for expressing 252 decaliters in deciliters with scientific notation are:
- Coefficient (green): 252.0
- Exponent (yellow): 2
