Download How many hours does it take for your heart to beat one million times?

Mathematics
in Mathematics
Chapter 1: Patterns
Lesson 1
Exploring Greater Numbers
Lesson Objective
The goal for this lesson is to compare numbers to one million.
Introduction
To help us solve the practice questions, we need to understand the
terms one million and cross-multiplication.
The number one million is 1000 thousands (1,000,000).
The following steps are taken to cross-multiply:
𝑎 𝑐
=
𝑏 𝑑
𝑎𝑑 = 𝑐𝑏
Practice Questions
1. Your heart beats 72 times per minute (
𝟕𝟐 𝒕𝒊𝒎𝒆𝒔
𝟏 𝒎𝒊𝒏𝒖𝒕𝒆
).
a. How long does it take for your heart to beat 1000 times?
Step 1: Place the given values into an equal expression.
𝟕𝟐 𝒕𝒊𝒎𝒆𝒔 𝟏𝟎𝟎𝟎 𝒕𝒊𝒎𝒆𝒔
=
𝟏 𝒎𝒊𝒏𝒖𝒕𝒆
?
Step 2: Let “x” represent the missing value.
𝟕𝟐 𝒕𝒊𝒎𝒆𝒔 𝟏𝟎𝟎𝟎 𝒕𝒊𝒎𝒆𝒔
=
𝟏 𝒎𝒊𝒏𝒖𝒕𝒆
𝒙
Mathematics
in Mathematics
Chapter 1: Patterns
Step 3: Solve for “x”.
𝟕𝟐 × 𝒙 = 𝟏𝟎𝟎𝟎 × 𝟏
𝟕𝟐 × 𝒙 = 𝟏𝟎𝟎𝟎
𝟏𝟎𝟎𝟎
𝒙=
𝟕𝟐
𝒙 = 𝟏𝟒
b. How many hours does it take for your heart to beat one
million times?
Step 1: Find the number of times your heart beats 1 hour.
𝟕𝟐 𝒕𝒊𝒎𝒆𝒔
𝒙
=
𝟏 𝒎𝒊𝒏𝒖𝒕𝒆 𝟔𝟎 𝒎𝒊𝒏𝒖𝒕𝒆𝒔
𝟕𝟐 × 𝟔𝟎 = 𝟏 × 𝒙
𝟒𝟑𝟐𝟎 = 𝟏 × 𝒙
𝟒𝟑𝟐𝟎
𝒙=
𝟏
𝒙 = 𝟒𝟑𝟐𝟎
Therefore, it your heart beats 4320 times in one hour.
Step 2: Find the number of hours your takes to beat one
million times.
𝟒𝟑𝟐𝟎 𝒕𝒊𝒎𝒆𝒔 𝟏, 𝟎𝟎𝟎𝟎, 𝟎𝟎 𝒕𝒊𝒎𝒆𝒔
=
𝟏 𝒉𝒐𝒖𝒓
𝒙
𝟒𝟑𝟐𝟎 × 𝒙 = 𝟏, 𝟎𝟎𝟎, 𝟎𝟎𝟎 × 𝟏
𝟒𝟑𝟐𝟎 × 𝒙 = 𝟏, 𝟎𝟎𝟎, 𝟎𝟎𝟎
𝟏, 𝟎𝟎𝟎, 𝟎𝟎𝟎
𝒙=
𝟒𝟑𝟐𝟎
𝒙 = 𝟐𝟑𝟐
Therefore, it your 232 hours for your heart to beat 1 million
times.
Mathematics
in Mathematics
Chapter 1: Patterns
Try It Yourself
1. Eyes blink about 900 times an hour. How long does it take to blink
one million times?
2. We take about 20,000 breaths a day. How long does it take to
breathe in one million breaths?
3. The heart pumps 7200 L of blood a day. How long does it take
your heart to pump 1,00,000 L.
Workbook (p. 11)