All questions on Maths

What is 78% of 650,000

Emma

Answers

There are a few ways of working this out you might like to try

jon.ellis

16 August 2011

Using a calculator: 650,000 x 78/100 = 507

jon.ellis

16 August 2011

You might also like to try it by breaking it down into easy chunks, so 78%= 50% (half) plus 10% plus 10% plus 10% take away 1% and 1%.

jon.ellis

16 August 2011

So lets run through the maths: 50% of 650,000 is 325,000. 10% is £65,000 and 1% is 6,500.

jon.ellis

16 August 2011

So its 325,000 plus 65,000 x 3 (=195,000) less 6,500 x 2 (13,000). This gives you an answer of 507,000.

jon.ellis

16 August 2011

Using the calculator gives us 507,000 as well.

jon.ellis

16 August 2011

There will be other ways of doing it as well, but I hope this helps.

jon.ellis

16 August 2011

Using the building block method we can split 78% into a 50%, a 25% and 3 lots of 1%.

simonwilliams1978

18 August 2011

50% of 650,000 is 325000.

simonwilliams1978

18 August 2011

25% of 650,000 is 162,500

simonwilliams1978

18 August 2011

1% of 650,000 is 6,500 so 3% is 19,500.

simonwilliams1978

18 August 2011

Now do 325,000 + 162,500 + 19,500 = 507,000. This method of working out a percentage of something is great to use in non-calculator exams.

simonwilliams1978

18 August 2011

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How to Find 1 Percent of a Number

Introduction

Have you ever seen a 5% discount in a shop or needed to calculate a 15% tip? All percentage calculations, no matter how complex, are built on one simple, core skill: finding 1 percent.

The word "percent" literally means "per hundred." So, 1% is simply one part out of one hundred.

Once you know how to find 1% of a number, you can easily find any other percentage.

To find 5%, you just find 1% and multiply it by 5.
To find 20%, you find 1% and multiply it by 20.
To find 72%, you find 1% and multiply it by 72.

This guide will show you the one simple trick to find 1% of any number instantly.

The Key Method: Finding 1%

Because 1% means "one out of one hundred" (£1/100£), finding 1% of a number is the same as dividing that number by 100.

The fastest way to divide any number by 100 is to move the decimal point two places to the left.

That's the entire trick.

Worked Example 1: A simple number

Find 1% of 300.

The number is 300. The decimal point is at the end: 300.
Move the decimal two places to the left: 3.00
Answer: 1% of 300 is 3.

Worked Example 2: A number with no zeros

Find 1% of 189.

The number is 189. The decimal point is at the end: 189.
Move the decimal two places to the left: 1.89
Answer: 1% of 189 is 1.89.

Worked Example 3: A number that already has a decimal

Find 1% of 84.5.

The number is 84.5.
Move the decimal two places to the left: 0.845
Answer: 1% of 84.5 is 0.845.

Worked Example 4: A very small decimal number

Find 1% of 0.7.

The number is 0.7.
Move the decimal two places to the left. We need to add zeros for the empty spaces: 0.007
Answer: 1% of 0.7 is 0.007.

Practice Questions & Solutions

Score:

Find 1% of 500.

Solution

To find 1% of 500, we move the decimal point two places to the left.

500. becomes 5.00

Answer: 5

Find 1% of 900.

Solution

To find 1% of 900, we move the decimal point two places to the left.

900. becomes 9.00

Answer: 9

Find 1% of 250.

Solution

o find 1% of 250, we move the decimal point two places to the left.

250. becomes 2.50

Answer: 2.5

Find 1% of 476.

Solution

To find 1% of 476, we move the decimal point two places to the left.

476. becomes 4.76

Answer: 4.76

Find 1% of 81.

Solution

To find 1% of 81, we move the decimal point two places to the left.

81. becomes 0.81

Answer: 0.81

A t-shirt costs £40. How much is 1% of its price?

Solution

To find 1% of £40, we move the decimal point two places to the left.

40. becomes 0.40

Answer: £0.40 (or 40p)

Find 1% of 15,200.

Solution

To find 1% of 15,200, we move the decimal point two places to the left.

15200. becomes 152.00

Answer: 152

Find 1% of 70.5.

Solution

To find 1% of 70.5, we move the decimal point two places to the left.

70.5 becomes 0.705

Answer: 0.705

Find 1% of 1.25.

Solution

To find 1% of 1.25, we move the decimal point two places to the left.

1.25 becomes 0.0125

Answer: 0.0125

A bank offers a 1% annual interest rate. If you deposit £5.50, how much interest would you earn in a year?

Solution

We need to find 1% of 5.50. We move the decimal point two places to the left.

5.50 becomes 0.0550

Answer: £0.055

Gianpiero Placidi