Since both `ExplainAnswer` and `TeachTopic` are false, I will provide only the Final Answer based on the visible problems in the image.
Looking at the "Problem Set" worksheet on the left:
Problem 1: Express as decimal numerals.
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a. Four thousandths: The example shows this is `0.004`.
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b. Twenty-four thousandths: This means 24 in the thousandths place.
* Calculation: $24 \div 1000 = 0.024$
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c. One and three hundred twenty-four thousandths: This is a mixed number. "One" is the whole number part, and "three hundred twenty-four thousandths" is the decimal part.
* Calculation: $1 + 0.324 = 1.324$
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d. Six hundred eight thousandths: This means 608 in the thousandths place.
* Calculation: $608 \div 1000 = 0.608$
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e. Six hundred and eight thousandths: This phrasing usually implies a whole number "Six hundred" and a decimal part "eight thousandths".
* Calculation: $600 + 0.008 = 600.008$
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f. $\frac{46}{1000}$: This is a fraction with a denominator of 1000.
* Calculation: $46 \div 1000 = 0.046$
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g. $3 \frac{946}{1000}$: This is a mixed number. The whole number is 3, and the fraction is 946 thousandths.
* Calculation: $3 + 0.946 = 3.946$
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h. $200 \frac{904}{1000}$: This is a mixed number. The whole number is 200, and the fraction is 904 thousandths.
* Calculation: $200 + 0.904 = 200.904$
Problem 2: Express each of the following values in words.
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a. 0.005: The last digit is in the thousandths place.
* Answer: Five thousandths
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b. 11.037: The whole number part is "Eleven". The decimal part is "thirty-seven thousandths".
* Answer: Eleven and thirty-seven thousandths
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c. 403.608: The whole number part is "Four hundred three". The decimal part is "six hundred eight thousandths".
* Answer: Four hundred three and six hundred eight thousandths
Problem 3: Write the number on a place value chart. Then, write it in expanded form...
*
a. 35.827:
*
Place Value Chart:
* Tens: 3
* Ones: 5
* Tenths: 8
* Hundredths: 2
* Thousandths: 7
*
Expanded Form (fractions):
$3 \times 10 + 5 \times 1 + 8 \times \frac{1}{10} + 2 \times \frac{1}{100} + 7 \times \frac{1}{1000}$
*
Expanded Form (decimals):
$3 \times 10 + 5 \times 1 + 8 \times 0.1 + 2 \times 0.01 + 7 \times 0.001$
Looking at the "Sprint" worksheet on the right ("Subtracting Fractions from a Whole Number"), here are solutions for a few sample problems:
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1. $4 - \frac{1}{2} = 3 \frac{1}{2}$
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2. $3 - \frac{1}{3} = 2 \frac{2}{3}$
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3. $2 - \frac{1}{2} = 1 \frac{1}{2}$
Final Answer:
Problem Set 1:
b. 0.024
c. 1.324
d. 0.608
e. 600.008
f. 0.046
g. 3.946
h. 200.904
Problem Set 2:
a. Five thousandths
b. Eleven and thirty-seven thousandths
c. Four hundred three and six hundred eight thousandths
Problem Set 3:
Expanded form (fractions): $3 \times 10 + 5 \times 1 + 8 \times \frac{1}{10} + 2 \times \frac{1}{100} + 7 \times \frac{1}{1000}$
Expanded form (decimals): $3 \times 10 + 5 \times 1 + 8 \times 0.1 + 2 \times 0.01 + 7 \times 0.001$
Parent Tip: Review the logic above to help your child master the concept of seventh grade math worksheet free.
