本格的リニューアルのため、表示に不具合がありますが更新中です

Calculations 計算

ビジネスノート
この記事は約23分で読めます。

spoken calculations

2+2=4

Two and two is four.  (informal)
Two plus two equals/is four.  (formal)

7-4=3

Four from seven is/leaves three.  (informal)
Seven take away four is/leaves three.  (informal)
Seven minus four equals/is three.  (formal)

3×4=12

Three fours are twelve.  (informal)
Three times four is twelve.  (informal)
Three multiplied by four equals/is twelve.  (formal)

to calculate on paper

146
×281
29200
11680
146
41026

setting:
A hundred and forty-six times two hundred and eighty-one.

beginning:
Put down two noughts/zeros. Tow sixes are twelve; put down two and carry one; two fours are eight and one are nine; two ones are two.

next line:
Put down one nought/zero. eight sixes are forty-eight; put down eight and carry four; eight fours are thirty-two and four is thirty-six; put down six and carry three; eight ones are eight and three is eleven.

next line:
One times 146 is 146.

addition:
Six and nought/zero and nought/zero is six; eight and four and nought/zero is twelve; put down two and carry one; six and two are eight and one is nine and one is ten; put down nought/zero carry one; nine and one are ten and one is eleven; put down one and carry one; two and one are three and one are four.

total:
Forty-one thousand and twenty-six.

9÷3=3

Three(s) into nine goes three (times).  (informal, especially BrE)
Nine divided by three equals/is three. (formal)

$$\frac{2}{7} \div \frac{2}{3} = \frac{3}{7}$$

Two sevenths divided by two thirds equals/is three sevenths.

10 ÷ 3 = 3 r 1

Oh, there’s a remainder!

Ten divided by three equals/is three with a remainder of one.

power and root  累乗と根

$$x^n$$

x to the nth power

$$x^{-n}$$

x to the minus nth power

$$5^2$$

five squared
five to the second power

$$7^3$$

seven cubed
seven to the third power

$$a^2 + b^3 = c^4$$

A squared plus b cubed equals c to the fourth power.

$$\sqrt[n]{x}$$

the nth root of x

$$\sqrt{7}$$

the square root of seven
the second root of seven
root seven
radical seven

$$\sqrt[3]{25}$$

the cube root of twenty-five
the third root of twenty-five

$$\sqrt[5]{432}$$

the fifth root of four hundred thirty-two

Multiplication / Times tables 九九

Please tell me the four times table.

Let’s begin our multiplication table of four.

The four times table starts; “Four times zero is zero, four times one is one, …”

1 Times Table

0 X 1 = 0Zero times one is zero.
1 X 1 = 1One times one is one.
2 X 1 = 2Two times one is two.
3 X 1 = 3Three times one is three.
4 X 1 = 4Four times one is four.
5 X 1 = 5Five times one is five.
6 X 1 = 6Six times one is six.
7 X 1 = 7Seven times one is seven.
8 X 1 = 8Eight times one is eight.
9 X 1 = 9Nine times one is nine.
10 X 1 = 10Ten times one is ten.
11 X 1 = 11Eleven times one is eleven.
12 X 1 = 12Twelve times one is twelve.

2 Times Table

0 X 2 = 2Zero times two is zero.
1 X 2 = 2One times two is two.
2 X 2 = 4Two times two is four.
3 X 2 = 6Three times two is six.
4 X 2 = 8Four times two is eight.
5 X 2 = 10Five times two is ten.
6 X 2 = 12Six times two is twelve.
7 X 2 = 14Seven times two is forteen.
8 X 2 = 16Eight times two is sixteen.
9 X 2 = 18Nine times two is eighteen.
10 X 2 = 20Ten times two is twenty.
11 X 2 = 22Eleven times two is twenty-two.
12 X 2 = 24Twelve times two is twenty-four.

3 Times Table

0 X 3 = 0Zero times three is zero.
1 X 3 = 3One times three is three.
2 X 3 = 6Two times three is six.
3 X 3 = 9Three times three is nine.
4 X 3 = 12Four times three is twelve.
5 X 3 = 15Five times three is fifteen.
6 X 3 = 18Six times three is eighteen.
7 X 3 = 21Seven times three is twenty-one.
8 X 3 = 24Eight times three is twenty-four.
9 X 3 = 27Nine times three is twenty-seven.
10 X 3 = 30Ten times three is thirty.
11 X 3 = 33Eleven times three is thirty-three.
12 X 3 = 36Twelve times three is thirty-six.

4 Times Table

0 X 4 = 0Zero times four is zero.
1 X 4 = 4One times four is four.
2 X 4 = 8Two times four is eight.
3 X 4 = 12Three times four is twelve.
4 X 4 = 16Four times four is sixteen.
5 X 4 = 20Five times four is twenty.
6 X 4 = 24Six times four is twenty-four.
7 X 4 = 28Seven times four is twenty-eight.
8 X 4 = 32Eight times four is thirty-two.
9 X 4 = 36Nine times four is thirty-six.
10 X 4 = 40Ten times four is forty.
11 X 4 = 44Eleven times four is forty-four.
12 X 4 = 48Twelve times four is forty-eight.

5 Times Table

0 X 5 = 0Zero times five is zero.
1 X 4 = 5One times five is five.
2 X 5 = 10Two times five is ten.
3 X 5 = 15Three times five is fifteen.
4 X 5 = 20Four times five is twenty.
5 X 5 = 25Five times five is twenty-five.
6 X 5 = 30Six times five is thirty.
7 X 5 = 35Seven times five is thirty-five.
8 X 5 = 40Eight times five is forty.
9 X 5 = 45Nine times five is forty-five.
10 X 5 = 50Ten times five is fifty.
11 X 5 = 55Eleven times five is fifty-five.
12 X 5 = 60Twelve times five is sixty.

6 Times Table

0 X 6 = 0Zero times six is zero.
1 X 6 = 6One times six is six.
2 X 6 = 12Two times six is twelve.
3 X 6 = 18Three times six is eighteen.
4 X 6 = 24Four times six is twenty-four.
5 X 6 = 30Five times six is thirty.
6 X 6 = 36Six times six is thirty-six.
7 X 6 = 42Seven times six is forty-two.
8 X 6 = 48Eight times six is forty-eight.
9 X 6 = 54Nine times six is fifty-four.
10 X 6 = 60Ten times six is sixty.
11 X 6 = 66Eleven times six is sixty-six.
12 X 6 = 72Twelve times six is seventy-two.

7 Times Table

0 X 7 = 0Zero times seven is zero.
1 X 7 = 7One times seven is seven.
2 X 7 = 14Two times seven is forteen.
3 X 7 = 21Three times seven is twenty-one.
4 X 7 = 28Four times seven is twenty-eight.
5 X 7 = 35Five times seven is thirty-five.
6 X 7 = 42Six times seven is forty-two.
7 X 7 = 49Seven times seven is forty-nine.
8 X 7 = 56Eight times seven is fifty-six.
9 X 7 = 63Nine times seven is sixty-three.
10 X 7 = 70Ten times seven is seventy.
11 X 7 = 77Eleven times seven is seventy-seven.
12 X 7 = 84Twelve times seven is eighty-four.

8 Times Table

0 X 8 = 0Zero times eight is zero.
1 X 8 = 8One times eight is eight.
2 X 8 = 16Two times eight is sixteen.
3 X 8 = 24Three times eight is twenty-four.
4 X 8 = 32Four times eight is thirty-two.
5 X 8 = 40Five times eight is forty.
6 X 8 = 48Six times eight is forty-eight.
7 X 8 = 56Seven times eight is fifty-six.
8 X 8 = 64Eight times eight is sixty-four.
9 X 8 = 72Nine times eight is seventy-two.
10 X 8 = 80Ten times eight is eighty.
11 X 8 = 88Eleven times eight is eighty-eight.
12 X 8 = 96Twelve times eight is ninety-six.

9 Times Table

0 X 9 = 0Zero times nine is zero.
1 X 9 = 9One times nine is nine.
2 X 9 = 18Two times nine is eighteen.
3 X 9 = 27Three times nine is twenty-seven.
4 X 9 = 36Four times nine is thirty-six.
5 X 9 = 45Five times nine is forty-five.
6 X 9 = 54Six times nine is fifty-four.
7 X 9 = 63Seven times nine is sixty-three.
8 X 9 = 72Eight times nine is seventy-two.
9 X 9 = 81Nine times nine is eighty-one.
10 X 9 = 90Ten times nine is ninety.
11 X 9 = 99Eleven times nine is ninety-nine.
12 X 9 = 108Twelve times nine is one hundred oh eight.

10 Times Table

0 X 10 = 0Zero times ten is zero.
1 X 10 = 10One times ten is ten.
2 X 10 = 20Two times ten is twenty.
3 X 10 = 30Three times ten is thirty.
4 X 10 = 40Four times ten is forty.
5 X 10 = 50Five times ten is fifty.
6 X 10 = 60Six times ten is sixty.
7 X 10 = 70Seven times ten is seventy.
8 X 10 = 80Eight times ten is eighty.
9 X 10 = 90Nine times ten is ninety.
10 X 10 = 100Ten times ten is one hundred.
11 X 10 = 110Eleven times ten is one hundred and ten.
12 X 10= 120Twelve times ten is one hundred and twenty.

11 Times Table

0 X 11 = 0Zero times eleven is zero.
1 X 11 = 11One times eleven is eleven.
2 X 11 = 22Two times eleven is twenty-two.
3 X 11 = 33Three times eleven is thirty-three.
4 X 11 = 44Four times eleven is forty-four.
5 X 11 = 55Five times eleven is fifty-five.
6 X 11 = 66Six times eleven is sixty-six.
7 X 11 = 77Seven times eleven is seventy-seven.
8 X 11 = 88Eight times eleven is eighty-eight.
9 X 11 = 99Nine times eleven is ninety-nine.
10 X 11 = 110Ten times eleven is one hundred and ten.
11 X 11 = 121Eleven times eleven is one hundred and twenty-one.
12 X 11= 132Twelve times eleven is one hundred and thirty-two.

12 Times Table

0 X 12 = 0Zero times twelve is zero.
1 X 12 = 12One times twelve is twelve.
2 X 12 = 24Two times twelve is twenty-four.
3 X 12 = 36Three times twelve is thirty-six.
4 X 12 = 48Four times twelve is forty-eight.
5 X 12 = 60Five times twelve is sixty.
6 X 12 = 72Six times twelve is seventy-two.
7 X 12 = 84Seven times twelve is eighty-four.
8 X 12 = 96Eight times twelve is ninety-six.
9 X 12 = 108Nine times twelve is one hundred oh eight.
10 X 12 = 120Ten times twelve is one hundred and twenty.
11 X 12 = 132Eleven times twelve is one hundred and thirty-two.
12 X 12= 144Twelve times twelve is one hundred and forty-four.

Find the area of this figure. この図形の面積を求めよ

πr2  円の面積

The area of a circle is equal to pi times the radius squared.

円の面積は、π×半径の2乗

b × h  平行四辺形の面積

The area of a parallelogram is equal to its base (b) times the height (h).

平行四辺形の面積は、底辺×高さ

(b × h)÷2  三角形の面積

The area of a triangle is equal to its base (b) times the height (h) divided by two.

三角形の面積は、底辺×高さ÷2

{(a+b)×h}÷2  台形の面積

The area of a trapezoid is equal to the sum of both bases (a+b) times the height (h) divided by two.

台形の面積は、(上底+下底)×高さ÷2

Find the volume of this box. この箱の体積を求めよ

l3  立方体の体積

The volume of a cube is equal to the length of one of its sides cubed.

立方体の体積は、一辺の長さの3乗

(b×l×h)÷3  四角錐の体積

The volume of a pyramid is equal to the area of its base (b times l) times the height (h) divided by three.

四角錐の体積は、幅×奥行×高さ÷3

(4×π×r3)÷3  球の体積

The volume of a sphere is equal to four times pi times the radius cubed divided by three.

球の体積は、4×π×半径の3乗÷3

mathematical expressions  数式

4x + 2x = 6x

Four x plus two x equals six x.

y = – 6x2 + 8x + 3

Y equals  negative/minus six x squared plus eight x plus three.

(a + b)2 = a2 + 2ab + b2

[The quantity] A plus b squared equals a squared plus two (times) a (times) b plus b squared.

(a+b)(a-b)=a2 – b2

[The quantity] A plus b times [the quantity] a minus b equals a squared minus b squared.

y = (4x2 – 12x + 9)÷(2x – 3)

Y equals [the quantity] four x squared minus twelve x plus 9 divided by [the quantity] two x minus three.

a2 + b2 ≧ 2(a – b – 1)

A squared plus b squared is greater than or equal to two times [the quantity] a minus b minus one.

$$ \sqrt{4} + \sqrt{16} = 6$$

The square root of four plus the square root of sixteen equals six.

$$a^2 + b^3 = \sqrt[3]{c}$$

A squared plus b cubed equals the cube root of c.

$$y = f(x)$$

Y is[equals] a function of x.

3 : 7 = 6 : 14

Three is to seven as six is to fourteen.

$$\sum_{n=0}^\infty a_n$$

Summation from zero to infinity of a sub n.

シグマのn=0から無限のエーエヌ

$$\int_a^b f(x) dx$$

Integral of a function of x with respect to x from x equals a to x equals b.

インテグラルa, bエフエックスディエックス

relational operator 関係演算子

A ≠ B

A is not equal to B.
A does not equal B.
AはBと等しくない

A > B

A is greater than B.
AはBより大きい

A < B

A is less than B.
AはBより小さい

A ≧ B

A is greater than or equal to B.
AはBより大きいか等しい

A ≦ B

A is less than or equal to B.
AはBより小さいか等しい

\begin{eqnarray}
30未満 = \begin{cases}
under\,\,30 \\
below\,\,30 \\
less\,\,than\,\,30 \\
\end{cases}
\end{eqnarray}
\begin{eqnarray}
30以下 = \begin{cases}
not\,\,more\,\,than\,\,30 \\
30\,\,and\,\,(or)\,\,less \\
30\,\,and\,\,(or)\,\,under \\
30\,\,and\,\,(or)\,\,below \\
\end{cases}
\end{eqnarray}
\begin{eqnarray}
30より多く = \begin{cases}
more\,\,than\,\,30 \\
over\,\,30 \\
above\,\,30 \\
\end{cases}
\end{eqnarray}
\begin{eqnarray}
30以上 = \begin{cases}
not\,\,less\,\,than\,\,30 \\
30\,\,and\,\,(or)\,\,more \\
30\,\,and\,\,(or)\,\,above \\
30\,\,and\,\,(or)\,\,over \\
\end{cases}
\end{eqnarray}

スポンサーリンク
SNSフォロー
この記事を書いた人

現役の経営コンサルタントです。経営管理の仕組み構築や経営戦略の立案、BIシステムを中心としたIT導入まで手掛けております。最近はファイナンス(資本コスト経営)、バリュエーション、BEPS対応、コーチング・組織学習支援での実績があります。

SNSフォロー
経営コンサルタントによる経営戦略と経営管理に効く経営管理会計