Can you predict the outcome of multiplying 750 by 0.1 without calculating

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

750 × 1/10 = 750/10 = 75

Step-by-step explanation:

The best way to really predict the outcome of multiplying 750 by 0.1 without calculator is firstly, converting the decimal to a fraction to easily do the multiplication in your head.

Since one of the multiplicand is a decimal the products will be much complicated therefore, to convert the decimal number 0.1 to a fraction number we shift the point to the right hand side which simply translate to 1/10. The trick here is the number of times we shift the point will determine the number of zeros the denominator will possess. Assuming we have 0.12 as the decimal, it is required we shift the point twice and the resulting value we become 12/100. If the decimal is 0.123 it is required we shift the point 3 times , the resulting value will be 123/1000. Not the number of times we shift the point will determine the number of zero's of the denominator.

Finally, the 2 multiplicands are now 750 and 1/10 which is more easier to manipulate in our head.

750 × 1/10 = 750/10 = 75( you just cancel the zeros)

You might be interested in

Andy buys shoes that are on sale for 25% off the regular price. If the sale price is $36.45, what was the regular price of the s

Anettt [7]

She bought the shoe at a percent of 25

5 0

3 years ago

I need help with 10,11,12

pshichka [43]

10. 50 is roughly around ~16% of 300. (16% is 50.1)

11. 35% of 150 would be 52.5

12. 80 is 200% of 40

3 0

3 years ago

Read 2 more answers

If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi > 0 what is theta ? Repeat for sin phi < 0.

Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

$\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\$

Therefore:

arctan(θ) = -2/3

θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0

3 years ago

Solve: 3x−5 = 9. A. x = −3 B.x = 2 C.x = 7 D.x = 8

Alina [70]

Answer:

Step-by-step explanation:

$3x-5=9$