Math Problem Statement
Test me on questions based on this unit • Round to decimal places. • Multiply and divide any number by 0.1, 0.01 and 0.001. • Multiply decimals using a written method. • Divide by decimals. • Convert fractions to decimals by dividing the numerator by the denominator. • Recognise recurring and terminating decimals. • Convert recurring decimals to fractions using an algebraic method. • Multiply integers and fractions by a fraction. • Use appropriate methods for multiplying fractions. • Write the reciprocal of a number or a fraction. • Divide integers by a fraction and divide fractions by a fraction. • Add and subtract fractions with any size denominator. Use the four operations with mixed numbers.
Solution
Great! Here’s a test covering all the topics in your unit. Try solving these questions, and I’ll check your answers.
Test on Decimals & Fractions
1. Rounding Decimals
a) Round 3.2765 to two decimal places.
b) Round 0.04879 to three decimal places.
2. Multiply and Divide by 0.1, 0.01, and 0.001
a) Multiply 5.67 × 0.1
b) Divide 34.5 ÷ 0.01
3. Multiplying Decimals (Written Method)
a) Calculate 4.2 × 3.5 using a written method.
4. Dividing by Decimals
a) Divide 8.4 ÷ 0.2
5. Convert Fractions to Decimals
a) Convert 7/8 into a decimal.
b) Convert 23/50 into a decimal.
6. Recurring and Terminating Decimals
a) Identify whether 5/6 is terminating or recurring.
b) Identify whether 4/25 is terminating or recurring.
7. Convert Recurring Decimals to Fractions
a) Convert 0.333... (repeating) into a fraction.
b) Convert 0.727272... into a fraction.
8. Multiply Integers and Fractions by a Fraction
a) Multiply 7 × 3/5
b) Multiply 4/9 × 2/3
9. Reciprocal of a Number or a Fraction
a) Find the reciprocal of 8
b) Find the reciprocal of 5/6
10. Divide Integers and Fractions
a) Calculate 10 ÷ 2/3
b) Calculate 3/4 ÷ 5/8
11. Add and Subtract Fractions
a) Add 3/7 + 2/5
b) Subtract 5/6 - 1/4
12. Mixed Numbers & Four Operations
a) Add 2 1/3 + 3 3/5
b) Multiply 1 3/4 × 2 2/5
Try solving these and let me know if you need hints!
Further Practice Questions
- What is 6.789 rounded to one decimal place?
- What is 12.6 × 0.01?
- Convert 19/40 into a decimal.
- Find the reciprocal of 9/11.
- Solve 5 1/2 ÷ 2 1/4.
Tip: When dividing by a fraction, remember "Keep, Change, Flip"—keep the first fraction, change division to multiplication, and flip the second fraction! 🚀
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Math Problem Analysis
Mathematical Concepts
Decimals
Fractions
Multiplication
Division
Rounding
Reciprocal
Recurring Decimals
Terminating Decimals
Mixed Numbers
Formulas
Multiplying Decimals: a × b
Division by Decimals: a ÷ b
Reciprocal of a Fraction: 1/(a/b)
Multiplying Fractions: (a/b) × (c/d) = (a×c)/(b×d)
Converting Recurring Decimals to Fractions: x = 0.333..., x = 1/3
Theorems
The Reciprocal Theorem
The Fraction Multiplication Theorem
The Fraction Division Theorem
Suitable Grade Level
Grades 5-8
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