Math Problem Statement

Calculate the answers: (a) 9 × 3.14, (b) 14 × 22/7, (c) 12.56 ÷ 3.14, (d) 88 ÷ 22/7.

Solution

Let's solve each of the problems step by step.

(a) 9×3.149 \times 3.14

We are multiplying 9 by 3.14: 9×3.14=28.269 \times 3.14 = 28.26 So, the answer for part (a) is 28.26.

(b) 14×22714 \times \frac{22}{7}

We are multiplying 14 by the fraction 227\frac{22}{7}: 14×227=14×3.14=43.9614 \times \frac{22}{7} = 14 \times 3.14 = 43.96 So, the answer for part (b) is 43.96.

(c) 12.56÷3.1412.56 \div 3.14

We are dividing 12.56 by 3.14: 12.56÷3.14=412.56 \div 3.14 = 4 So, the answer for part (c) is 4.

(d) 88÷22788 \div \frac{22}{7}

We are dividing 88 by the fraction 227\frac{22}{7}: 88÷227=88×722=2888 \div \frac{22}{7} = 88 \times \frac{7}{22} = 28 So, the answer for part (d) is 28.

Do you need any further explanations for any of these calculations?

Here are some related questions to explore:

  1. How does multiplying by a fraction differ from multiplying by a whole number?
  2. What are some properties of division with fractions?
  3. How can you check your multiplication and division results to ensure accuracy?
  4. Why is 227\frac{22}{7} often used as an approximation for π\pi?
  5. How can you calculate the area of a circle using the value of π\pi?

Tip: Always double-check your decimal calculations to ensure precision when working with non-whole numbers!

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Math Problem Analysis

Mathematical Concepts

Multiplication
Division
Fractions
Decimals

Formulas

a × b = product
a ÷ b = quotient

Theorems

Properties of Fractions
Basic Arithmetic Operations

Suitable Grade Level

Grades 6-8