Question

name:
date:
4 - 20. simplify each expression below. homework help

a. (4.76)(12.5)

b. 45.6 + 23.68

c. 48 - 12.62

d. 10(0.034)

e. 368.9 - 234.78

f. 13.6 + 23.05 + 0.781

Explanation:

Part a

Step1: Multiply 4.76 and 12.5

$4.76\times12.5$
We can rewrite 4.76 as $4 + 0.76$ and use the distributive property:
$(4 + 0.76)\times12.5 = 4\times12.5 + 0.76\times12.5$
$4\times12.5 = 50$
$0.76\times12.5 = 9.5$ (since $0.76\times10 = 7.6$, $0.76\times2.5 = 1.9$, and $7.6+1.9 = 9.5$)
Then add the results: $50 + 9.5 = 59.5$

Step1: Add 45.6 and 23.68

Align the decimal points:

  45.60
+ 23.68
-------

Add the numbers: $45.60 + 23.68 = 69.28$

Step1: Subtract 12.62 from 48

Align the decimal points:

  48.00
- 12.62
-------

Subtract the numbers: $48.00 - 12.62 = 35.38$

Answer:

59.5

Part b