Question

Which expressions show the expanded form for 840.02? Choose all answers that are correct. 8 × 100 + 4 × 10 + 2 × 110 8 × 100 + 4 × 10 + 2 × 1100 8 × 100 + 4 × 10 + 0 × 1 + 0 × 110 + 2 × 1100 8 × 100 + 4 × 10 + 4 × 0 + 0 × 11 + 2 × 110

Answer 1

8 × 100 + 4 × 10 + 2 × 1/100

8 × 100 + 4 × 10 + 0 × 1 + 0 × 1/10 + 2 × 1/100

Explanation:

8 × 100 + 4 × 10 + 2 × 1/10 =800+40+2/10 = 840+2/10 = 840.2

8 × 100 + 4 × 10 + 2 × 1/100 = 800+40+2/100 = 840+2/100 = 840.02

8 × 100 + 4 × 10 + 0 × 1 + 0 × 1/10 + 2 × 1/100 =800+40+2/100= 840.02

8 × 100 + 4 × 10 + 4 × 0 + 0 × 11 + 2 × 1/10=800+40+2/10= 840+2/10 = 840.2

Answer 2

Option B and C are correct.

`8 * 100 + 4 * 10 +2 * (1)/(100)`

`8 * 100 + 4 * 10 + 0 * 1 + 0 *(1)/(10)+2 * (1)/(100)`

Explanation:

Find the expanded form of 840.02.

Any decimal number can be expanded in the form of power of 10.

then;

In 840.02

the first 8 is

8 hundreds i.e, 800 ,

4 is 4 tens i.,e 40 ,

0 ones ,

0 one-tenths and

2 hundredths,

we can write this as;

`840.02 = 800 + 40 + 0 * 1 + 0 * (1)/(10)+2 * (1)/(100)`

or

`8 * 100 + 4 * 10 +2 * (1)/(100)`

or

`840.02 = 8 * 100 + 4 * 10 + 0 * 1 + (0)/(10)+ (2)/(10^2)`