PROBLEM
Convert the following expressions to decimals:
a. (3×10)+(5×1)+(2×101)+(7×1001)+(6×10001)
b. (9×100)+(2×10)+(3×0.1)+(7×0.001)
c. (5×1,000)+(4×100)+(8×1)+(6×1001)+(5×10001)
STEP 1
Assumptions1. We are given expressions that represent decimal numbers in expanded form.
. Each term in the expression represents a digit in a specific place value of the decimal number.
3. We need to convert each expression into a standard decimal form.
STEP 2
Let's start with the first expression(×10)+(5×1)+(2×101)+(7×1001)+(6×10001)
STEP 3
Calculate each term in the expression.
=30+5+0.2+0.07+0.006
STEP 4
Add up all the terms to get the decimal number.
=30++0.2+0.07+0.006=35.276
STEP 5
Now, let's move on to the second expression(9×100)+(2×10)+(3×0.1)+(7×0.001)
STEP 6
Calculate each term in the expression.
=900+20+0.3+0.007
STEP 7
Add up all the terms to get the decimal number.
=900+20+0.3+0.007=920.307
STEP 8
Finally, let's solve the third expression(5×1,000)+(4×100)+(8×1)+(6×1001)+(5×10001)
STEP 9
Calculate each term in the expression.
=500+400+8+.06+.005
SOLUTION
Add up all the terms to get the decimal number.
=5000+400+8+0.06+0.005=5408.065So, the decimal forms of the given expressions area.35.276b.920.307c.5408.065
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