/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 539 Multiply. $$\text { (a) }7 \cd... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 539

Multiply. $$\text { (a) }7 \cdot 4 \text { (b) } 4.7$$

Short Answer

Expert verified
(a) 28 (b) 2.8

Step by step solution

01

Understand the operation

Multiplication is a mathematical operation that combines groups of equal size. When you multiply two numbers, you are calculating the total number of items when you have a certain number of groups, each containing the same number of items.
02

Multiply the integers in part (a)

To solve (a), multiply 7 by 4. 7 * 4 = 28
03

Multiply the single-digit number and decimal in part (b)

To solve (b), multiply 4 by 7. This gives you 28, then place the decimal point to reflect that you are actually multiplying 4 by 0.7. 4 * 0.7 = 2.8

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Multiplying Integers
Multiplying integers is a fundamental mathematical operation.
When we multiply two integers, we are finding the total number of items when several groups of equal size are combined.
This can be understood as repeated addition.

For example, in the exercise given, we're asked to multiply 7 by 4.
Let's break this down:
  • Start with the first number, which is 7.
  • Add it to itself 4 times. This is the same as saying 7 + 7 + 7 + 7.

While this method works, it's more efficient to use multiplication: 7 * 4 = 28.
This means if you have 7 groups of 4, there are 28 items in total.
Decimal Multiplication
Decimal multiplication can be a bit trickier compared to integers because of the decimal point.
In the exercise provided, we need to multiply 4.7, which involves multiplying a whole number by a decimal.
Let's see how this works:
  • First, ignore the decimal point and multiply the numbers as if they were whole numbers: 4 * 7 = 28.
  • Count the number of decimal places in the original numbers. In this case, 4.7 has one decimal place.
  • Place the decimal point in the product, moving it to the left by the number of places counted earlier: 28 becomes 2.8.

Thus, 4 * 0.7 equals 2.8. Remembering the placement of the decimal makes decimal multiplication much easier.
Mathematical Operations
Multiplication is one of the key mathematical operations. Alongside addition, subtraction, and division, it helps us solve various mathematical problems.
Understanding these operations deeply can simplify complex problems.
Here's a quick overview:
  • Addition: Combining numbers to get a larger value.
  • Subtraction: Finding the difference between numbers.
  • Division: Splitting numbers into equal parts.
  • Multiplication: Adding a number to itself a certain number of times.

Each of these operations interacts with the others in numerous ways.
It's important to practice and understand these operations to build a solid mathematical foundation.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Calories Paulette had a grilled chicken salad, ranch dressing, and a 16-ounce drink for lunch. On the restaurant鈥檚 nutrition chart, she saw that each item had the following number of calories: Grilled chicken salad 鈥� 320 calories Ranch dressing 鈥� 170 calories 16-ounce drink 鈥� 150 calories What was the total number of calories of Paulette鈥檚 lunch?

Simplify. $$145-79$$

Savings Lynn wants to go on a cruise that costs \(\$ 2,485 .\) she has \(\$ 948\) in her vacation savings account. How much more does she need to save in order to pay for the cruise?

Simplify. $$\frac{0}{9}$$

Translate and simplify. The product of 15 and 28
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.