Question

There are two parts to this question answer both parts. Pls write the expanded forms


part 1: write 49.02 in expanded form as a sum



part 2: rewrite the expanded form usin products of powers of 10

Answer 1

Answer:

1.  49.02  = 40 +  9 +  0.0 +  0.02

2.$49.02 = 4 \times (10)^1 + 9 \times (10)^0 +0 \times (10^{-1} + 2 \times (10)^{-2}$

Step-by-step explanation:

Part : 1

To write 49.02 as EXPANDED FORM

Now, by place value chart, we know

Ten Th.  , Thousand, Hundreds, Tens , units DECIMAL, Tenth, Hundredth

Putting the value of decimal just below decimal ,we get:

Place value  of 4 = 4 tens  = 4 x 10 = 40

Place value  of 9 = 9 ones   = 9 x 1 = 9

Place value  of 0 = 0 tenth  = 0 / 10 = 0

Place value  of 2 = 2 hundredth   = 2 / 100 = 0.02

⇒ 49.02  = 40 +  9 +  0.0 +  0.02

Part : 2

Now, rewriting terms using powers of 10, we get:

40  = 4 x 10  = 4 x $(10)^1$

9 = 9 x $(10)^0$

0 = 0 x $(10)^{-1}$

0.02 = 2 x $(10)^{-2}$

⇒$49.02 = 4 \times (10)^1 + 9 \times (10)^0 +0 \times (10^{-1} + 2 \times (10)^{-2}$