Decimals practice worksheet for math education.

I'll work through this worksheet step by step, solving each problem carefully.

Let me start by identifying what needs to be solved:

Q1 - Fill in the blanks:
a) 3/8 = ___ (decimal fraction)
b) In 42.056, the whole number part is ___
c) In 476.039, the place value of 9 is ___
d) 2.08 in fractional form is written as ___
e) Four hundred eight thousandths is written as ___

Q2 - Match the following to correct place value of 3:
a) 0.336 → ?
b) 13.895 → ?
c) 394.128 → ?

Options: 3 tenths, 3 hundreds, 3 ones

Q3 - Write the decimal for:
a) Six decimal eight ten
b) Six point four zero zero seven
c) 1000 + 400 + 80 + 7 + 3/10 + 5/100

Let me solve each one:

Q1 Solutions:

a) 3/8 as a decimal:
3 ÷ 8 = 0.375

b) In 42.056, the whole number part is everything before the decimal point:
Whole number part = 42

c) In 476.039, the digit 9 is in the thousandths place:
Place value of 9 = 0.009 or 9/1000 or "9 thousandths"

d) 2.08 in fractional form:
2.08 = 208/100 = 52/25 (simplified)
Or we can write it as 2 + 8/100 = 2 + 2/25 = 52/25

e) Four hundred eight thousandths:
This means 408/1000 = 0.408

Q2 Solutions - Matching place value of 3:

a) 0.336 - The first 3 after the decimal is in the tenths place
Answer: 3 tenths

b) 13.895 - The 3 is in the ones place (just before the decimal)
Answer: 3 ones

c) 394.128 - The 3 is in the hundreds place
Answer: 3 hundreds

Q3 Solutions - Writing decimals:

a) "Six decimal eight ten" - This seems to mean 6.8 (or possibly 6.08 if it means six and eight tenths)
Actually, looking at the phrasing more carefully, it likely means 6.8

b) "Six point four zero zero seven" = 6.4007

c) 1000 + 400 + 80 + 7 + 3/10 + 5/100
= 1487 + 0.3 + 0.05
= 1487.35

Let me verify my calculations once more:

Q1a: 3÷8 = 0.375 ✓
Q1b: 42.056 → whole number = 42 ✓
Q1c: 476.039 → 9 is in thousandths place → 0.009 ✓
Q1d: 2.08 = 208/100 = 52/25 ✓
Q1e: 408/1000 = 0.408 ✓

Q2:
- 0.336: first 3 is in tenths position ✓
- 13.895: 3 is in ones position ✓
- 394.128: 3 is in hundreds position ✓

Q3:
a) 6.8 (assuming "six decimal eight" means 6.8)
b) 6.4007 ✓
c) 1000+400+80+7 = 1487; 3/10 = 0.3; 5/100 = 0.05; Total = 1487.35 ✓

Final Answer:

Q1:
a) 0.375
b) 42
c) 0.009 (or 9 thousandths)
d) 52/25 (or 208/100)
e) 0.408

Q2:
a) 0.336 → 3 tenths
b) 13.895 → 3 ones
c) 394.128 → 3 hundreds

Q3:
a) 6.8
b) 6.4007
c) 1487.35