In each pattern, the quotient remains the same. Thus, multiplying both the divisor and dividend by the same power of 10 maintains the equality of the expression. Problem 2: Continue each pattern below by multiplying the divisor and the dividend by 10 until the divisor is a whole number. Then find each quotient.
Why must you multiply the dividend by the same power of 10 that you multiply the divisor by?
In cases like this, you can use powers of 10 to help create an easier problem to solve. In this case, you can multiply the divisor, 0.3, by 10 to move the decimal point 1 place to the right. If you multiply the divisor by 10, then you also have to multiply the dividend by 10 to keep the quotient the same.
Why would multiplying both the dividend and the divisor by 10 make a problem easier to solve?
When students figure which power of 10 to use, they must also multiply by the same power of 10 to the dividend. We can rewrite the division problem so that the divisor is a whole number and the quotient remains the same. This makes it easier to use the long division algorithm and yield the same answer.
What do you think will happen if you multiply or divide the dividend and the divisor by different numbers for example multiplying the dividend by 3 and the divisor by 2?
Therefore, if we increase or decrease the dividend and the divisor the same number of times, the quotient will not change. In other words: The quotient will not change if we multiply the dividend and divisor by the same number, or if we divide them by the same number.
What is 10 to the power of 12 called?
What does 2 to the power of 10 mean?
When a number is said to be to a certain power, that means that you are going to be multiplying the number by itself a certain number of times. A number ”to the 10th power” will be multiplied by itself 10 times.
Why should the remainder not be greater than the divisor?
When one number divides another number completely, the remainder is 0. The remainder is always less than the divisor. If the remainder is greater than the divisor, it means that the division is incomplete. It can be greater than or lesser than the quotient.
What is the remainder of 48 divided by 8?
The quotient (integer division) of 48/8 equals 6; the remainder (“left over”) is 0. 48 is the dividend, and 8 is the divisor.
What do you call the process of separating a group into two or more equal groups the inverse of multiplication?
Division is also the inverse operation of multiplication because it “undoes” multiplication. In multiplication, you combine equal sets to create a total. In division, you separate a whole group into sets that have the same amount.
What comes first divisor or dividend?
When using the short-hand symbols “÷” or “/” to indicate division, the dividend appears to the left and the divisor appears to the right.
What is the quotient in dividing 6 by 3?
The quotient is the number obtained by dividing one number by another. For example, if we divide the number 6 by 3, the result so obtained is 2, which is the quotient.
Does product mean multiply?
The product of two numbers is the result you get when you multiply them together.
What does 10 to the second power look like?
Take exponents, for example, like writing 10 to the 2nd power. … The first way to express 10 to the second power is to write two 10s with a multiplication sign in between, like this: 10 x 10. This indicates two factors (ie – second power) of 10 multiplied by itself.
What is the rule of multiplying by 10?
When multiplying whole numbers by 10, simply add a 0 to the end of the number, and you will have your answer. So, 5 * 10 is a 5 with a 0 at the end: 50. 3 * 10 is a 3 with a 0 at the end: 30.
What does 10 to the power of negative 3 mean?
A number which is some power of 1/10 can also be expressed easily in scientific notation. By definition, 1/10 = 10-1 (“ten to the minus one power”) More generally, the expression “10-n” (where n is a whole number) means ( 1/10 )n. Thus 10-3 = ( 1 / 10 )3 = 1 / ( 10 x 10 x 10) = 1/1000.