Given:
4 groups of ___ tenths is 1.6.
To find:
The value for the blank.
Solution:
Let the unknown value be x.
4 groups of x tenths is 1.6.
![4x=1.6](https://img.qammunity.org/2021/formulas/mathematics/college/r8m2i9zljmrgqs2gnkf0xgmfq8vvfjs2pc.png)
Divide both sides by 4.
![(4x)/(4)=(1.6)/(4)](https://img.qammunity.org/2021/formulas/mathematics/college/1umr36z2uoox2dcxhmi6kunx8k9s1pcnaw.png)
![x=0.4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/izna1kz78yi5do1a3kctfe3g4zciva6zcw.png)
So, 4 groups of 0.4 tenths is 1.6.
Therefore, the required answer for the blank is 0.4.