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

  1. What is 6.789 rounded to one decimal place?
  2. What is 12.6 × 0.01?
  3. Convert 19/40 into a decimal.
  4. Find the reciprocal of 9/11.
  5. 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