How to multiply integers - PSAT Math
Card 1 of 35
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
Tap to reveal answer
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
← Didn't Know|Knew It →
F=ma in physics whereForce=masstimes acceleration.
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
F=ma in physics whereForce=masstimes acceleration.
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
Tap to reveal answer
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
← Didn't Know|Knew It →
What property of arithmetic is demonstrated here?
What property of arithmetic is demonstrated here?
Tap to reveal answer
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
← Didn't Know|Knew It →
What property of arithmetic is demonstrated below?
What property of arithmetic is demonstrated below?
Tap to reveal answer
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
← Didn't Know|Knew It →
Multiply in modulo 8:
Multiply in modulo 8:
Tap to reveal answer
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
← Didn't Know|Knew It →
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
Tap to reveal answer
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
← Didn't Know|Knew It →
F=ma in physics whereForce=masstimes acceleration.
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
F=ma in physics whereForce=masstimes acceleration.
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
Tap to reveal answer
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
← Didn't Know|Knew It →
What property of arithmetic is demonstrated here?
What property of arithmetic is demonstrated here?
Tap to reveal answer
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
← Didn't Know|Knew It →
What property of arithmetic is demonstrated below?
What property of arithmetic is demonstrated below?
Tap to reveal answer
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
← Didn't Know|Knew It →
Multiply in modulo 8:
Multiply in modulo 8:
Tap to reveal answer
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
← Didn't Know|Knew It →
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
Tap to reveal answer
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
← Didn't Know|Knew It →
F=ma in physics whereForce=masstimes acceleration.
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
F=ma in physics whereForce=masstimes acceleration.
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
Tap to reveal answer
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
← Didn't Know|Knew It →
What property of arithmetic is demonstrated here?
What property of arithmetic is demonstrated here?
Tap to reveal answer
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
← Didn't Know|Knew It →
What property of arithmetic is demonstrated below?
What property of arithmetic is demonstrated below?
Tap to reveal answer
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
← Didn't Know|Knew It →
Multiply in modulo 8:
Multiply in modulo 8:
Tap to reveal answer
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
← Didn't Know|Knew It →
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
An office wants to buy 22 computers at $900 each. The budget is $20,000 and the tax on computers is 9%. How many computers can the office afford?
Tap to reveal answer
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
The office can only afford 20 computers.
1.09 * 900 = $981 is the actual price of each computer, with tax.
Divide:
20,000/981 = 20.39
Since the office cannot purchase a partial computer, we round down to 20 computers.
← Didn't Know|Knew It →
F=ma in physics whereForce=masstimes acceleration.
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
F=ma in physics whereForce=masstimes acceleration.
If the mass is increased by 3 three times the original and the acceleration is increased by 7 times the original, how many times greater is the new force than the original force?
Tap to reveal answer
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
We simply multiply the new mass by the new acceleration to obtain a new force that is 21 times greater than the original.
← Didn't Know|Knew It →
What property of arithmetic is demonstrated here?
What property of arithmetic is demonstrated here?
Tap to reveal answer
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
The symbols express the idea that if three numbers are multiplied, the same product results regardless of which numbers are multiplied first. This is the associative property of multiplication.
← Didn't Know|Knew It →
What property of arithmetic is demonstrated below?
What property of arithmetic is demonstrated below?
Tap to reveal answer
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
The statements demonstrates that the product of a number and a sum can be found by multiplying the number by each of the addends and adding the products. This is the distributive property of multiplication over addition.
← Didn't Know|Knew It →
Multiply in modulo 8:
Multiply in modulo 8:
Tap to reveal answer
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
In modulo 8 arithmetic, a number is congruent to the remainder of its division by 8.
and
so
making the correct response.
← Didn't Know|Knew It →